file: CF.ckpt, n = 99368963; positions analyzed: i = 1000000 .. 99368963 (98368964 values) ==================== value v = 0 ==================== does not occur at i >= 1000000 ==================== value v = 1 ==================== does not occur at i >= 1000000 ==================== value v = 2 ==================== occurrences: 1187177 (frequency 1.20686%) first at i = 1000295, last at i = 99368681 gaps: minimum 3, maximum 4130 (closes at i = 61464557), mean 82.86, std. dev. 141.15 (random occurrences would give mean 82.86, std. dev. 82.36, and P(gap = 1) = 1.21%) fraction of gaps <= k: k=3: 11.8% k=10: 19.9% k=20: 36.9% k=50: 63.8% k=100: 76.9% k=1000: 99.7% most frequent gaps: gap percent 3 11.77% 20 6.89% 23 6.44% 6 5.54% 17 5.09% 26 4.81% 43 3.06% 46 3.02% 14 2.88% 40 2.27% 9 2.22% 29 2.19% 49 2.05% 66 1.63% 69 1.45% 63 1.25% 37 1.19% 11 1.18% 52 1.01% 89 1.01% the 20 most frequent add up to 67.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.1% 1: 22.7% 2: 42.1% ==================== value v = 3 ==================== occurrences: 1188096 (frequency 1.20780%) first at i = 1001198, last at i = 99368809 gaps: minimum 3, maximum 3971 (closes at i = 31790181), mean 82.79, std. dev. 141.19 (random occurrences would give mean 82.80, std. dev. 82.29, and P(gap = 1) = 1.21%) fraction of gaps <= k: k=3: 11.8% k=10: 19.9% k=20: 36.9% k=50: 63.8% k=100: 76.9% k=1000: 99.7% most frequent gaps: gap percent 3 11.82% 20 6.88% 23 6.51% 6 5.53% 17 5.11% 26 4.81% 43 3.02% 46 2.99% 14 2.90% 40 2.26% 9 2.23% 29 2.19% 49 2.03% 66 1.61% 69 1.45% 63 1.25% 37 1.20% 11 1.18% 52 1.03% 89 1.00% the 20 most frequent add up to 67.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.2% 1: 22.7% 2: 42.1% ==================== value v = 4 ==================== occurrences: 969131 (frequency 0.98520%) first at i = 1000189, last at i = 99368922 gaps: minimum 3, maximum 4649 (closes at i = 87836706), mean 101.50, std. dev. 158.66 (random occurrences would give mean 101.50, std. dev. 101.00, and P(gap = 1) = 0.99%) fraction of gaps <= k: k=3: 9.1% k=10: 16.1% k=20: 30.4% k=50: 56.4% k=100: 70.7% k=1000: 99.6% most frequent gaps: gap percent 3 9.07% 20 5.72% 23 5.69% 6 4.62% 26 4.49% 17 4.11% 46 2.95% 43 2.93% 14 2.36% 29 2.31% 49 2.18% 40 2.09% 9 2.09% 66 1.61% 69 1.54% 63 1.25% 52 1.20% 37 1.12% 32 1.07% 72 1.04% the 20 most frequent add up to 59.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.0% 1: 25.0% 2: 41.0% ==================== value v = 5 ==================== occurrences: 954062 (frequency 0.96988%) first at i = 1000257, last at i = 99368924 gaps: minimum 3, maximum 3791 (closes at i = 29716243), mean 103.11, std. dev. 160.24 (random occurrences would give mean 103.11, std. dev. 102.60, and P(gap = 1) = 0.97%) fraction of gaps <= k: k=3: 8.9% k=10: 15.8% k=20: 29.9% k=50: 55.8% k=100: 70.2% k=1000: 99.5% most frequent gaps: gap percent 3 8.85% 20 5.66% 23 5.63% 6 4.56% 26 4.48% 17 4.02% 46 2.97% 43 2.89% 14 2.35% 29 2.30% 49 2.21% 40 2.09% 9 2.06% 66 1.61% 69 1.56% 63 1.24% 52 1.23% 37 1.12% 72 1.06% 32 1.06% the 20 most frequent add up to 58.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.9% 1: 25.1% 2: 40.9% ==================== value v = 6 ==================== does not occur at i >= 1000000 ==================== value v = 7 ==================== does not occur at i >= 1000000 ==================== value v = 8 ==================== occurrences: 1153051 (frequency 1.17217%) first at i = 1000398, last at i = 99368895 gaps: minimum 3, maximum 3185 (closes at i = 78290088), mean 85.31, std. dev. 132.88 (random occurrences would give mean 85.31, std. dev. 84.81, and P(gap = 1) = 1.17%) fraction of gaps <= k: k=3: 10.1% k=10: 18.0% k=20: 33.9% k=50: 61.0% k=100: 75.1% k=1000: 99.8% most frequent gaps: gap percent 3 10.11% 20 6.15% 23 5.96% 6 5.18% 26 4.72% 17 4.57% 46 2.95% 43 2.93% 14 2.78% 29 2.37% 9 2.36% 40 2.25% 49 2.17% 66 1.59% 69 1.47% 37 1.30% 63 1.27% 11 1.22% 52 1.20% 32 1.07% the 20 most frequent add up to 63.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.5% 1: 23.9% 2: 41.6% ==================== value v = 9 ==================== occurrences: 1151308 (frequency 1.17040%) first at i = 1000135, last at i = 99368948 gaps: minimum 3, maximum 3466 (closes at i = 42195233), mean 85.44, std. dev. 132.58 (random occurrences would give mean 85.44, std. dev. 84.94, and P(gap = 1) = 1.17%) fraction of gaps <= k: k=3: 10.0% k=10: 17.9% k=20: 33.9% k=50: 61.0% k=100: 75.1% k=1000: 99.8% most frequent gaps: gap percent 3 10.00% 20 6.16% 23 5.93% 6 5.21% 26 4.74% 17 4.59% 46 2.94% 43 2.94% 14 2.78% 29 2.42% 9 2.35% 40 2.25% 49 2.18% 66 1.59% 69 1.43% 37 1.28% 63 1.26% 11 1.22% 52 1.18% 32 1.09% the 20 most frequent add up to 63.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.4% 1: 23.8% 2: 41.7% ==================== value v = 10 ==================== does not occur at i >= 1000000 ==================== value v = 11 ==================== does not occur at i >= 1000000 ==================== value v = 12 ==================== does not occur at i >= 1000000 ==================== value v = 13 ==================== does not occur at i >= 1000000 ==================== value v = 14 ==================== occurrences: 1163641 (frequency 1.18294%) first at i = 1000231, last at i = 99368961 gaps: minimum 3, maximum 3607 (closes at i = 31013183), mean 84.54, std. dev. 131.20 (random occurrences would give mean 84.54, std. dev. 84.03, and P(gap = 1) = 1.18%) fraction of gaps <= k: k=3: 10.6% k=10: 19.1% k=20: 35.5% k=50: 62.0% k=100: 75.1% k=1000: 99.8% most frequent gaps: gap percent 3 10.59% 20 6.18% 23 5.91% 6 5.54% 17 4.74% 26 4.73% 14 2.97% 43 2.77% 46 2.76% 9 2.51% 29 2.41% 40 2.13% 49 2.08% 66 1.41% 69 1.35% 11 1.30% 37 1.25% 52 1.17% 63 1.14% 32 1.11% the 20 most frequent add up to 64.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.1% 1: 23.1% 2: 41.8% ==================== value v = 15 ==================== occurrences: 1161212 (frequency 1.18047%) first at i = 1000253, last at i = 99368957 gaps: minimum 3, maximum 3469 (closes at i = 3388995), mean 84.71, std. dev. 131.79 (random occurrences would give mean 84.71, std. dev. 84.21, and P(gap = 1) = 1.18%) fraction of gaps <= k: k=3: 10.6% k=10: 19.0% k=20: 35.4% k=50: 61.9% k=100: 75.0% k=1000: 99.8% most frequent gaps: gap percent 3 10.57% 20 6.16% 23 5.91% 6 5.50% 17 4.74% 26 4.70% 14 2.93% 46 2.77% 43 2.74% 9 2.51% 29 2.43% 40 2.13% 49 2.08% 66 1.41% 69 1.33% 11 1.32% 37 1.25% 52 1.17% 63 1.15% 32 1.11% the 20 most frequent add up to 63.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.1% 1: 23.1% 2: 41.8% ==================== value v = 16 ==================== does not occur at i >= 1000000 ==================== value v = 17 ==================== does not occur at i >= 1000000 ==================== value v = 18 ==================== occurrences: 582989 (frequency 0.59266%) first at i = 1000263, last at i = 99368869 gaps: minimum 3, maximum 5895 (closes at i = 39986774), mean 168.73, std. dev. 271.26 (random occurrences would give mean 168.73, std. dev. 168.23, and P(gap = 1) = 0.59%) fraction of gaps <= k: k=3: 6.1% k=10: 11.9% k=20: 23.0% k=50: 45.3% k=100: 58.5% k=1000: 98.1% most frequent gaps: gap percent 3 6.10% 23 4.38% 20 4.18% 26 3.85% 6 3.54% 17 2.99% 46 2.51% 29 2.28% 43 2.17% 49 2.05% 9 1.94% 14 1.82% 40 1.60% 52 1.37% 69 1.26% 32 1.21% 66 1.21% 72 1.07% 37 0.93% 11 0.88% the 20 most frequent add up to 47.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 27.2% 2: 39.6% ==================== value v = 19 ==================== occurrences: 582160 (frequency 0.59181%) first at i = 1000006, last at i = 99368833 gaps: minimum 3, maximum 6019 (closes at i = 90386997), mean 168.97, std. dev. 271.16 (random occurrences would give mean 168.97, std. dev. 168.47, and P(gap = 1) = 0.59%) fraction of gaps <= k: k=3: 6.1% k=10: 11.9% k=20: 22.9% k=50: 45.4% k=100: 58.5% k=1000: 98.1% most frequent gaps: gap percent 3 6.07% 23 4.44% 20 4.12% 26 3.86% 6 3.50% 17 2.99% 46 2.48% 29 2.29% 43 2.18% 49 2.09% 9 1.96% 14 1.85% 40 1.60% 52 1.38% 69 1.25% 32 1.23% 66 1.17% 72 1.07% 37 0.95% 63 0.89% the 20 most frequent add up to 47.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 27.3% 2: 39.6% ==================== value v = 20 ==================== occurrences: 538755 (frequency 0.54769%) first at i = 1000455, last at i = 99368717 gaps: minimum 3, maximum 5792 (closes at i = 77041809), mean 182.58, std. dev. 281.92 (random occurrences would give mean 182.59, std. dev. 182.09, and P(gap = 1) = 0.55%) fraction of gaps <= k: k=3: 5.3% k=10: 10.8% k=20: 21.0% k=50: 42.4% k=100: 55.7% k=1000: 97.9% most frequent gaps: gap percent 3 5.32% 23 4.07% 20 3.76% 26 3.58% 6 3.30% 17 2.72% 46 2.36% 29 2.21% 43 2.03% 49 2.01% 9 1.87% 14 1.69% 40 1.57% 52 1.36% 69 1.24% 32 1.24% 66 1.14% 72 1.11% 37 0.94% 63 0.86% the 20 most frequent add up to 44.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 27.9% 2: 39.1% ==================== value v = 21 ==================== occurrences: 532887 (frequency 0.54172%) first at i = 1000123, last at i = 99367877 gaps: minimum 3, maximum 5485 (closes at i = 82102847), mean 184.59, std. dev. 283.22 (random occurrences would give mean 184.60, std. dev. 184.10, and P(gap = 1) = 0.54%) fraction of gaps <= k: k=3: 5.3% k=10: 10.7% k=20: 20.9% k=50: 42.0% k=100: 55.3% k=1000: 97.9% most frequent gaps: gap percent 3 5.30% 23 3.97% 20 3.73% 26 3.51% 6 3.24% 17 2.69% 46 2.39% 29 2.15% 43 2.05% 49 1.96% 9 1.83% 14 1.73% 40 1.56% 52 1.35% 69 1.25% 32 1.22% 66 1.14% 72 1.11% 37 0.93% 63 0.88% the 20 most frequent add up to 44.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 28.0% 2: 38.9% ==================== value v = 22 ==================== does not occur at i >= 1000000 ==================== value v = 23 ==================== does not occur at i >= 1000000 ==================== value v = 24 ==================== occurrences: 548399 (frequency 0.55749%) first at i = 1000655, last at i = 99368928 gaps: minimum 3, maximum 5456 (closes at i = 97366301), mean 179.37, std. dev. 274.59 (random occurrences would give mean 179.37, std. dev. 178.87, and P(gap = 1) = 0.56%) fraction of gaps <= k: k=3: 5.1% k=10: 10.4% k=20: 20.6% k=50: 41.8% k=100: 55.6% k=1000: 98.0% most frequent gaps: gap percent 3 5.06% 23 3.78% 20 3.54% 26 3.45% 6 3.11% 17 2.62% 46 2.26% 29 2.20% 49 2.00% 43 1.99% 9 1.85% 14 1.71% 40 1.53% 52 1.43% 32 1.29% 69 1.22% 66 1.13% 72 1.10% 37 0.97% 11 0.94% the 20 most frequent add up to 43.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 28.1% 2: 38.9% ==================== value v = 25 ==================== occurrences: 548584 (frequency 0.55768%) first at i = 1000558, last at i = 99368855 gaps: minimum 3, maximum 5367 (closes at i = 81993981), mean 179.31, std. dev. 274.64 (random occurrences would give mean 179.31, std. dev. 178.81, and P(gap = 1) = 0.56%) fraction of gaps <= k: k=3: 5.1% k=10: 10.6% k=20: 20.8% k=50: 41.9% k=100: 55.7% k=1000: 98.0% most frequent gaps: gap percent 3 5.08% 23 3.82% 20 3.56% 26 3.47% 6 3.20% 17 2.61% 46 2.27% 29 2.18% 43 2.03% 49 1.98% 9 1.93% 14 1.73% 40 1.52% 52 1.37% 32 1.29% 69 1.22% 66 1.11% 72 1.07% 11 0.93% 37 0.93% the 20 most frequent add up to 43.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 28.0% 2: 38.9% ==================== value v = 26 ==================== does not occur at i >= 1000000 ==================== value v = 27 ==================== does not occur at i >= 1000000 ==================== value v = 28 ==================== does not occur at i >= 1000000 ==================== value v = 29 ==================== does not occur at i >= 1000000 ==================== value v = 30 ==================== occurrences: 544390 (frequency 0.55342%) first at i = 1001034, last at i = 99368819 gaps: minimum 3, maximum 5956 (closes at i = 67016305), mean 180.69, std. dev. 274.07 (random occurrences would give mean 180.70, std. dev. 180.20, and P(gap = 1) = 0.55%) fraction of gaps <= k: k=3: 5.0% k=10: 10.5% k=20: 20.6% k=50: 41.7% k=100: 55.4% k=1000: 98.0% most frequent gaps: gap percent 3 5.03% 23 3.77% 20 3.48% 26 3.42% 6 3.16% 17 2.63% 46 2.24% 29 2.17% 43 2.00% 49 1.98% 9 1.92% 14 1.71% 40 1.50% 52 1.40% 32 1.32% 69 1.21% 66 1.12% 72 1.08% 37 0.95% 12 0.94% the 20 most frequent add up to 43.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 28.1% 2: 38.7% ==================== value v = 31 ==================== occurrences: 544818 (frequency 0.55385%) first at i = 1001038, last at i = 99368714 gaps: minimum 3, maximum 5439 (closes at i = 43203436), mean 180.55, std. dev. 273.93 (random occurrences would give mean 180.55, std. dev. 180.05, and P(gap = 1) = 0.55%) fraction of gaps <= k: k=3: 5.0% k=10: 10.4% k=20: 20.7% k=50: 41.6% k=100: 55.4% k=1000: 98.0% most frequent gaps: gap percent 3 4.96% 23 3.75% 20 3.51% 26 3.37% 6 3.14% 17 2.64% 46 2.21% 29 2.18% 43 1.98% 49 1.96% 9 1.90% 14 1.73% 40 1.48% 52 1.42% 32 1.33% 69 1.18% 72 1.11% 66 1.10% 11 0.96% 12 0.96% the 20 most frequent add up to 42.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 28.0% 2: 38.9% ==================== value v = 32 ==================== occurrences: 1688769 (frequency 1.71677%) first at i = 1000008, last at i = 99368950 gaps: minimum 3, maximum 2174 (closes at i = 14371125), mean 58.25, std. dev. 86.03 (random occurrences would give mean 58.25, std. dev. 57.75, and P(gap = 1) = 1.72%) fraction of gaps <= k: k=3: 12.8% k=10: 23.1% k=20: 42.5% k=50: 70.0% k=100: 82.4% k=1000: 100.0% most frequent gaps: gap percent 3 12.83% 20 6.74% 6 6.46% 23 6.21% 17 5.42% 26 5.07% 14 3.61% 9 3.10% 43 2.61% 46 2.60% 29 2.57% 40 2.16% 49 1.92% 11 1.80% 37 1.42% 12 1.27% 32 1.26% 66 1.20% 52 1.13% 69 1.12% the 20 most frequent add up to 70.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.4% 1: 20.6% 2: 42.9% ==================== value v = 33 ==================== occurrences: 1687210 (frequency 1.71519%) first at i = 1000161, last at i = 99368954 gaps: minimum 3, maximum 2027 (closes at i = 92552206), mean 58.30, std. dev. 86.19 (random occurrences would give mean 58.30, std. dev. 57.80, and P(gap = 1) = 1.72%) fraction of gaps <= k: k=3: 12.8% k=10: 23.0% k=20: 42.4% k=50: 69.9% k=100: 82.4% k=1000: 100.0% most frequent gaps: gap percent 3 12.80% 20 6.69% 6 6.43% 23 6.22% 17 5.41% 26 5.08% 14 3.59% 9 3.11% 43 2.61% 46 2.60% 29 2.58% 40 2.17% 49 1.91% 11 1.81% 37 1.41% 12 1.27% 32 1.27% 66 1.21% 52 1.13% 69 1.11% the 20 most frequent add up to 70.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.4% 1: 20.6% 2: 43.0% ==================== value v = 34 ==================== does not occur at i >= 1000000 ==================== value v = 35 ==================== does not occur at i >= 1000000 ==================== value v = 36 ==================== does not occur at i >= 1000000 ==================== value v = 37 ==================== does not occur at i >= 1000000 ==================== value v = 38 ==================== occurrences: 1688556 (frequency 1.71655%) first at i = 1000042, last at i = 99368847 gaps: minimum 3, maximum 1907 (closes at i = 96473005), mean 58.26, std. dev. 85.04 (random occurrences would give mean 58.26, std. dev. 57.75, and P(gap = 1) = 1.72%) fraction of gaps <= k: k=3: 12.8% k=10: 23.2% k=20: 42.5% k=50: 70.0% k=100: 82.2% k=1000: 100.0% most frequent gaps: gap percent 3 12.81% 20 6.67% 6 6.55% 23 6.18% 17 5.38% 26 5.05% 14 3.60% 9 3.16% 29 2.63% 43 2.58% 46 2.56% 40 2.11% 49 1.95% 11 1.81% 37 1.39% 32 1.32% 12 1.28% 52 1.17% 66 1.14% 69 1.06% the 20 most frequent add up to 70.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.5% 1: 20.6% 2: 42.9% ==================== value v = 39 ==================== occurrences: 1688433 (frequency 1.71643%) first at i = 1000026, last at i = 99368802 gaps: minimum 3, maximum 2208 (closes at i = 35512065), mean 58.26, std. dev. 85.24 (random occurrences would give mean 58.26, std. dev. 57.76, and P(gap = 1) = 1.72%) fraction of gaps <= k: k=3: 12.8% k=10: 23.2% k=20: 42.5% k=50: 70.0% k=100: 82.2% k=1000: 100.0% most frequent gaps: gap percent 3 12.82% 20 6.66% 6 6.52% 23 6.16% 17 5.38% 26 5.04% 14 3.59% 9 3.18% 29 2.65% 43 2.59% 46 2.56% 40 2.11% 49 1.93% 11 1.82% 37 1.41% 32 1.31% 12 1.30% 52 1.16% 66 1.15% 69 1.07% the 20 most frequent add up to 70.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.5% 1: 20.6% 2: 42.9% ==================== value v = 40 ==================== does not occur at i >= 1000000 ==================== value v = 41 ==================== does not occur at i >= 1000000 ==================== value v = 42 ==================== occurrences: 1542475 (frequency 1.56805%) first at i = 1000009, last at i = 99368934 gaps: minimum 3, maximum 1947 (closes at i = 35279983), mean 63.77, std. dev. 87.23 (random occurrences would give mean 63.77, std. dev. 63.27, and P(gap = 1) = 1.57%) fraction of gaps <= k: k=3: 10.2% k=10: 19.9% k=20: 37.7% k=50: 65.6% k=100: 80.1% k=1000: 100.0% most frequent gaps: gap percent 3 10.17% 6 5.77% 20 5.68% 23 5.50% 26 4.87% 17 4.65% 14 3.32% 9 3.19% 29 2.76% 46 2.62% 43 2.58% 40 2.17% 49 2.08% 11 1.86% 37 1.52% 32 1.51% 12 1.49% 52 1.35% 66 1.26% 69 1.20% the 20 most frequent add up to 65.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.3% 1: 22.6% 2: 42.1% ==================== value v = 43 ==================== occurrences: 1543620 (frequency 1.56921%) first at i = 1000039, last at i = 99368933 gaps: minimum 3, maximum 2211 (closes at i = 62638803), mean 63.73, std. dev. 87.26 (random occurrences would give mean 63.73, std. dev. 63.22, and P(gap = 1) = 1.57%) fraction of gaps <= k: k=3: 10.2% k=10: 20.0% k=20: 37.8% k=50: 65.6% k=100: 80.1% k=1000: 100.0% most frequent gaps: gap percent 3 10.17% 6 5.78% 20 5.69% 23 5.52% 26 4.82% 17 4.67% 14 3.32% 9 3.20% 29 2.76% 46 2.61% 43 2.59% 40 2.15% 49 2.08% 11 1.87% 32 1.53% 37 1.51% 12 1.49% 52 1.37% 66 1.25% 69 1.19% the 20 most frequent add up to 65.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.3% 1: 22.5% 2: 42.1% ==================== value v = 44 ==================== occurrences: 1502703 (frequency 1.52762%) first at i = 1000086, last at i = 99368831 gaps: minimum 3, maximum 2300 (closes at i = 40076163), mean 65.46, std. dev. 89.48 (random occurrences would give mean 65.46, std. dev. 64.96, and P(gap = 1) = 1.53%) fraction of gaps <= k: k=3: 10.0% k=10: 19.8% k=20: 37.4% k=50: 65.1% k=100: 79.3% k=1000: 100.0% most frequent gaps: gap percent 3 10.02% 6 5.73% 20 5.60% 23 5.43% 26 4.84% 17 4.56% 14 3.28% 9 3.21% 29 2.83% 46 2.55% 43 2.52% 49 2.10% 40 2.09% 11 1.87% 32 1.58% 12 1.52% 37 1.48% 52 1.40% 66 1.18% 69 1.16% the 20 most frequent add up to 64.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.2% 1: 22.7% 2: 42.1% ==================== value v = 45 ==================== occurrences: 1502063 (frequency 1.52697%) first at i = 1000079, last at i = 99368867 gaps: minimum 3, maximum 2303 (closes at i = 77810516), mean 65.49, std. dev. 89.18 (random occurrences would give mean 65.49, std. dev. 64.99, and P(gap = 1) = 1.53%) fraction of gaps <= k: k=3: 10.0% k=10: 19.8% k=20: 37.4% k=50: 65.1% k=100: 79.3% k=1000: 100.0% most frequent gaps: gap percent 3 9.96% 6 5.75% 20 5.64% 23 5.42% 26 4.82% 17 4.56% 14 3.26% 9 3.22% 29 2.83% 46 2.56% 43 2.51% 40 2.10% 49 2.10% 11 1.89% 32 1.58% 12 1.52% 37 1.46% 52 1.40% 66 1.21% 69 1.17% the 20 most frequent add up to 64.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 35.3% 1: 22.6% 2: 42.1% ==================== value v = 46 ==================== does not occur at i >= 1000000 ==================== value v = 47 ==================== does not occur at i >= 1000000 ==================== value v = 48 ==================== occurrences: 1007088 (frequency 1.02379%) first at i = 1000124, last at i = 99368874 gaps: minimum 3, maximum 2748 (closes at i = 96655856), mean 97.68, std. dev. 117.85 (random occurrences would give mean 97.68, std. dev. 97.18, and P(gap = 1) = 1.02%) fraction of gaps <= k: k=3: 6.4% k=10: 13.1% k=20: 26.1% k=50: 51.1% k=100: 67.8% k=1000: 99.9% most frequent gaps: gap percent 3 6.40% 23 4.46% 20 4.34% 26 4.03% 6 3.88% 17 3.35% 46 2.66% 43 2.47% 29 2.39% 14 2.29% 9 2.29% 49 2.11% 40 2.01% 66 1.44% 69 1.42% 52 1.41% 37 1.37% 32 1.36% 11 1.29% 63 1.23% the 20 most frequent add up to 52.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.3% 1: 26.7% 2: 40.0% ==================== value v = 49 ==================== occurrences: 1008269 (frequency 1.02499%) first at i = 1000056, last at i = 99368944 gaps: minimum 3, maximum 2248 (closes at i = 79048683), mean 97.56, std. dev. 117.71 (random occurrences would give mean 97.56, std. dev. 97.06, and P(gap = 1) = 1.02%) fraction of gaps <= k: k=3: 6.4% k=10: 13.1% k=20: 26.1% k=50: 51.1% k=100: 67.8% k=1000: 99.9% most frequent gaps: gap percent 3 6.38% 23 4.48% 20 4.32% 26 4.01% 6 3.89% 17 3.35% 46 2.66% 43 2.48% 29 2.38% 9 2.30% 14 2.30% 49 2.13% 40 2.02% 66 1.46% 69 1.43% 52 1.41% 37 1.37% 32 1.35% 11 1.29% 63 1.21% the 20 most frequent add up to 52.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.4% 1: 26.7% 2: 39.9% ==================== value v = 50 ==================== does not occur at i >= 1000000 ==================== value v = 51 ==================== does not occur at i >= 1000000 ==================== value v = 52 ==================== does not occur at i >= 1000000 ==================== value v = 53 ==================== does not occur at i >= 1000000 ==================== value v = 54 ==================== occurrences: 963339 (frequency 0.97931%) first at i = 1000075, last at i = 99368963 gaps: minimum 3, maximum 2340 (closes at i = 77603570), mean 102.11, std. dev. 121.78 (random occurrences would give mean 102.11, std. dev. 101.61, and P(gap = 1) = 0.98%) fraction of gaps <= k: k=3: 6.2% k=10: 12.8% k=20: 25.5% k=50: 50.0% k=100: 66.4% k=1000: 99.9% most frequent gaps: gap percent 3 6.18% 23 4.41% 20 4.24% 26 3.95% 6 3.78% 17 3.26% 46 2.62% 43 2.41% 29 2.40% 9 2.27% 14 2.26% 49 2.11% 40 1.95% 52 1.45% 69 1.42% 66 1.40% 32 1.36% 37 1.31% 11 1.23% 72 1.15% the 20 most frequent add up to 51.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.3% 1: 26.9% 2: 39.8% ==================== value v = 55 ==================== occurrences: 962127 (frequency 0.97808%) first at i = 1000065, last at i = 99368927 gaps: minimum 3, maximum 2116 (closes at i = 48574141), mean 102.24, std. dev. 121.53 (random occurrences would give mean 102.24, std. dev. 101.74, and P(gap = 1) = 0.98%) fraction of gaps <= k: k=3: 6.2% k=10: 12.8% k=20: 25.4% k=50: 49.9% k=100: 66.3% k=1000: 99.9% most frequent gaps: gap percent 3 6.21% 23 4.39% 20 4.20% 26 3.95% 6 3.79% 17 3.24% 46 2.63% 43 2.40% 29 2.38% 9 2.26% 14 2.22% 49 2.08% 40 1.93% 52 1.44% 69 1.41% 66 1.40% 32 1.38% 37 1.31% 11 1.24% 63 1.16% the 20 most frequent add up to 51.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.3% 1: 26.8% 2: 39.9% ==================== value v = 56 ==================== does not occur at i >= 1000000 ==================== value v = 57 ==================== does not occur at i >= 1000000 ==================== value v = 58 ==================== occurrences: 913579 (frequency 0.92873%) first at i = 1000102, last at i = 99368864 gaps: minimum 3, maximum 2119 (closes at i = 64433816), mean 107.67, std. dev. 124.35 (random occurrences would give mean 107.67, std. dev. 107.17, and P(gap = 1) = 0.93%) fraction of gaps <= k: k=3: 5.4% k=10: 11.5% k=20: 23.4% k=50: 46.8% k=100: 64.2% k=1000: 99.9% most frequent gaps: gap percent 3 5.36% 23 3.94% 20 3.77% 26 3.62% 6 3.37% 17 2.87% 46 2.41% 43 2.26% 29 2.22% 9 2.15% 14 2.09% 49 2.03% 40 1.84% 52 1.42% 69 1.38% 32 1.38% 66 1.37% 37 1.32% 11 1.27% 72 1.18% the 20 most frequent add up to 47.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 27.5% 2: 39.3% ==================== value v = 59 ==================== occurrences: 913908 (frequency 0.92906%) first at i = 1000121, last at i = 99368865 gaps: minimum 3, maximum 2478 (closes at i = 10631866), mean 107.64, std. dev. 124.33 (random occurrences would give mean 107.64, std. dev. 107.13, and P(gap = 1) = 0.93%) fraction of gaps <= k: k=3: 5.3% k=10: 11.5% k=20: 23.4% k=50: 46.8% k=100: 64.2% k=1000: 99.9% most frequent gaps: gap percent 3 5.34% 23 3.91% 20 3.71% 26 3.61% 6 3.34% 17 2.95% 46 2.45% 43 2.26% 29 2.25% 9 2.16% 14 2.12% 49 2.00% 40 1.84% 52 1.42% 32 1.39% 69 1.38% 66 1.36% 37 1.33% 11 1.26% 12 1.17% the 20 most frequent add up to 47.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 27.6% 2: 39.3% ==================== value v = 60 ==================== occurrences: 869680 (frequency 0.88410%) first at i = 1000022, last at i = 99368858 gaps: minimum 3, maximum 2142 (closes at i = 42965891), mean 113.11, std. dev. 129.28 (random occurrences would give mean 113.11, std. dev. 112.61, and P(gap = 1) = 0.88%) fraction of gaps <= k: k=3: 5.2% k=10: 11.2% k=20: 22.7% k=50: 45.7% k=100: 62.6% k=1000: 99.9% most frequent gaps: gap percent 3 5.15% 23 3.83% 20 3.61% 26 3.55% 6 3.30% 17 2.82% 46 2.33% 29 2.23% 43 2.18% 9 2.14% 14 2.01% 49 1.99% 40 1.80% 52 1.42% 32 1.40% 69 1.32% 66 1.30% 37 1.26% 11 1.22% 72 1.14% the 20 most frequent add up to 46.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 27.7% 2: 39.2% ==================== value v = 61 ==================== occurrences: 870105 (frequency 0.88453%) first at i = 1000055, last at i = 99368960 gaps: minimum 3, maximum 2085 (closes at i = 53190509), mean 113.05, std. dev. 129.68 (random occurrences would give mean 113.05, std. dev. 112.55, and P(gap = 1) = 0.88%) fraction of gaps <= k: k=3: 5.2% k=10: 11.2% k=20: 22.8% k=50: 45.7% k=100: 62.6% k=1000: 99.9% most frequent gaps: gap percent 3 5.23% 23 3.82% 20 3.63% 26 3.54% 6 3.27% 17 2.80% 46 2.36% 29 2.21% 43 2.19% 9 2.10% 14 2.03% 49 1.98% 40 1.76% 52 1.41% 32 1.38% 69 1.34% 66 1.33% 37 1.26% 11 1.24% 12 1.18% the 20 most frequent add up to 46.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 27.6% 2: 39.2% ==================== value v = 62 ==================== does not occur at i >= 1000000 ==================== value v = 63 ==================== does not occur at i >= 1000000 ==================== value v = 64 ==================== occurrences: 881549 (frequency 0.89617%) first at i = 1000000, last at i = 99368701 gaps: minimum 3, maximum 3374 (closes at i = 1716872), mean 111.59, std. dev. 166.27 (random occurrences would give mean 111.59, std. dev. 111.09, and P(gap = 1) = 0.90%) fraction of gaps <= k: k=3: 7.4% k=10: 14.6% k=20: 28.2% k=50: 52.6% k=100: 66.8% k=1000: 99.5% most frequent gaps: gap percent 3 7.39% 23 4.74% 20 4.61% 6 4.28% 26 4.17% 17 3.55% 29 2.45% 9 2.36% 46 2.35% 14 2.34% 43 2.25% 49 1.98% 40 1.79% 52 1.41% 32 1.34% 11 1.26% 37 1.15% 66 1.15% 69 1.14% 12 1.11% the 20 most frequent add up to 52.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.9% 1: 25.5% 2: 40.5% ==================== value v = 65 ==================== occurrences: 881248 (frequency 0.89586%) first at i = 1000473, last at i = 99368923 gaps: minimum 3, maximum 3440 (closes at i = 5198811), mean 111.62, std. dev. 166.13 (random occurrences would give mean 111.62, std. dev. 111.12, and P(gap = 1) = 0.90%) fraction of gaps <= k: k=3: 7.3% k=10: 14.5% k=20: 28.1% k=50: 52.6% k=100: 66.8% k=1000: 99.5% most frequent gaps: gap percent 3 7.34% 23 4.80% 20 4.62% 6 4.28% 26 4.18% 17 3.55% 29 2.42% 46 2.35% 14 2.34% 9 2.32% 43 2.25% 49 1.99% 40 1.77% 52 1.41% 32 1.39% 11 1.27% 69 1.17% 66 1.15% 37 1.15% 12 1.12% the 20 most frequent add up to 52.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.8% 1: 25.6% 2: 40.6% ==================== value v = 66 ==================== does not occur at i >= 1000000 ==================== value v = 67 ==================== does not occur at i >= 1000000 ==================== value v = 68 ==================== does not occur at i >= 1000000 ==================== value v = 69 ==================== does not occur at i >= 1000000 ==================== value v = 70 ==================== occurrences: 856757 (frequency 0.87096%) first at i = 1000600, last at i = 99368859 gaps: minimum 3, maximum 3356 (closes at i = 62681331), mean 114.81, std. dev. 168.61 (random occurrences would give mean 114.82, std. dev. 114.31, and P(gap = 1) = 0.87%) fraction of gaps <= k: k=3: 7.1% k=10: 14.2% k=20: 27.5% k=50: 51.8% k=100: 65.9% k=1000: 99.5% most frequent gaps: gap percent 3 7.15% 23 4.73% 20 4.47% 6 4.14% 26 4.11% 17 3.45% 29 2.43% 46 2.34% 9 2.30% 14 2.28% 43 2.23% 49 1.98% 40 1.71% 52 1.41% 32 1.41% 11 1.23% 12 1.17% 69 1.15% 37 1.13% 66 1.13% the 20 most frequent add up to 51.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.8% 1: 25.8% 2: 40.4% ==================== value v = 71 ==================== occurrences: 859197 (frequency 0.87344%) first at i = 1000269, last at i = 99368909 gaps: minimum 3, maximum 3451 (closes at i = 82828761), mean 114.49, std. dev. 168.07 (random occurrences would give mean 114.49, std. dev. 113.99, and P(gap = 1) = 0.87%) fraction of gaps <= k: k=3: 7.2% k=10: 14.2% k=20: 27.5% k=50: 51.8% k=100: 66.0% k=1000: 99.5% most frequent gaps: gap percent 3 7.15% 23 4.72% 20 4.51% 6 4.16% 26 4.12% 17 3.45% 29 2.42% 46 2.33% 9 2.32% 14 2.26% 43 2.21% 49 2.01% 40 1.72% 52 1.43% 32 1.41% 11 1.23% 69 1.15% 37 1.14% 12 1.13% 66 1.10% the 20 most frequent add up to 52.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.7% 1: 25.8% 2: 40.5% ==================== value v = 72 ==================== does not occur at i >= 1000000 ==================== value v = 73 ==================== does not occur at i >= 1000000 ==================== value v = 74 ==================== occurrences: 826440 (frequency 0.84014%) first at i = 1000050, last at i = 99368949 gaps: minimum 3, maximum 3451 (closes at i = 1195596), mean 119.03, std. dev. 168.21 (random occurrences would give mean 119.03, std. dev. 118.53, and P(gap = 1) = 0.84%) fraction of gaps <= k: k=3: 6.1% k=10: 12.7% k=20: 25.2% k=50: 48.8% k=100: 64.1% k=1000: 99.5% most frequent gaps: gap percent 3 6.10% 23 4.24% 20 4.00% 26 3.89% 6 3.83% 17 3.14% 29 2.36% 46 2.25% 9 2.21% 43 2.16% 14 2.12% 49 1.96% 40 1.72% 52 1.49% 32 1.38% 11 1.23% 69 1.20% 12 1.17% 66 1.16% 37 1.13% the 20 most frequent add up to 48.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.5% 1: 26.7% 2: 39.8% ==================== value v = 75 ==================== occurrences: 826288 (frequency 0.83999%) first at i = 1000077, last at i = 99368850 gaps: minimum 3, maximum 3474 (closes at i = 74344522), mean 119.05, std. dev. 168.70 (random occurrences would give mean 119.05, std. dev. 118.55, and P(gap = 1) = 0.84%) fraction of gaps <= k: k=3: 6.1% k=10: 12.7% k=20: 25.2% k=50: 48.9% k=100: 64.1% k=1000: 99.5% most frequent gaps: gap percent 3 6.11% 23 4.28% 20 4.01% 26 3.92% 6 3.81% 17 3.13% 29 2.34% 46 2.24% 9 2.19% 14 2.16% 43 2.15% 49 2.00% 40 1.70% 52 1.46% 32 1.41% 11 1.22% 69 1.18% 37 1.15% 12 1.15% 66 1.14% the 20 most frequent add up to 48.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.4% 1: 26.6% 2: 40.0% ==================== value v = 76 ==================== occurrences: 815152 (frequency 0.82867%) first at i = 1000294, last at i = 99368823 gaps: minimum 3, maximum 3382 (closes at i = 61246166), mean 120.68, std. dev. 168.27 (random occurrences would give mean 120.68, std. dev. 120.17, and P(gap = 1) = 0.83%) fraction of gaps <= k: k=3: 6.0% k=10: 12.5% k=20: 24.8% k=50: 48.4% k=100: 63.6% k=1000: 99.5% most frequent gaps: gap percent 3 6.03% 23 4.20% 20 3.99% 26 3.90% 6 3.70% 17 3.05% 29 2.37% 46 2.25% 9 2.19% 43 2.13% 14 2.09% 49 1.99% 40 1.66% 52 1.47% 32 1.43% 11 1.18% 69 1.17% 12 1.14% 66 1.13% 37 1.09% the 20 most frequent add up to 48.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.4% 1: 26.8% 2: 39.8% ==================== value v = 77 ==================== occurrences: 815564 (frequency 0.82909%) first at i = 1000261, last at i = 99368939 gaps: minimum 3, maximum 3187 (closes at i = 95666184), mean 120.61, std. dev. 167.82 (random occurrences would give mean 120.61, std. dev. 120.11, and P(gap = 1) = 0.83%) fraction of gaps <= k: k=3: 6.1% k=10: 12.6% k=20: 24.9% k=50: 48.4% k=100: 63.6% k=1000: 99.5% most frequent gaps: gap percent 3 6.05% 23 4.20% 20 3.91% 26 3.89% 6 3.73% 17 3.07% 29 2.37% 46 2.22% 9 2.17% 43 2.11% 14 2.07% 49 1.99% 40 1.68% 52 1.49% 32 1.42% 11 1.21% 69 1.19% 12 1.16% 37 1.09% 66 1.09% the 20 most frequent add up to 48.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.5% 1: 26.7% 2: 39.8% ==================== value v = 78 ==================== does not occur at i >= 1000000 ==================== value v = 79 ==================== does not occur at i >= 1000000 ==================== value v = 80 ==================== occurrences: 421368 (frequency 0.42835%) first at i = 1000570, last at i = 99368872 gaps: minimum 3, maximum 4953 (closes at i = 6792163), mean 233.45, std. dev. 307.29 (random occurrences would give mean 233.45, std. dev. 232.95, and P(gap = 1) = 0.43%) fraction of gaps <= k: k=3: 3.2% k=10: 6.9% k=20: 13.9% k=50: 30.1% k=100: 43.5% k=1000: 97.4% most frequent gaps: gap percent 3 3.21% 23 2.64% 26 2.56% 20 2.38% 6 2.08% 46 1.80% 17 1.76% 29 1.61% 43 1.59% 49 1.58% 9 1.30% 52 1.18% 40 1.16% 14 1.14% 69 1.11% 72 1.03% 32 1.00% 66 0.99% 75 0.79% 55 0.74% the 20 most frequent add up to 31.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 30.2% 2: 37.0% ==================== value v = 81 ==================== occurrences: 419581 (frequency 0.42654%) first at i = 1001881, last at i = 99368816 gaps: minimum 3, maximum 4939 (closes at i = 2154012), mean 234.44, std. dev. 309.18 (random occurrences would give mean 234.45, std. dev. 233.95, and P(gap = 1) = 0.43%) fraction of gaps <= k: k=3: 3.2% k=10: 6.9% k=20: 13.9% k=50: 30.1% k=100: 43.6% k=1000: 97.4% most frequent gaps: gap percent 3 3.18% 23 2.63% 26 2.59% 20 2.39% 6 2.12% 46 1.81% 17 1.79% 29 1.59% 49 1.57% 43 1.55% 9 1.30% 52 1.21% 40 1.20% 14 1.17% 69 1.11% 72 1.02% 66 1.01% 32 0.98% 55 0.81% 75 0.79% the 20 most frequent add up to 31.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 30.1% 2: 37.0% ==================== value v = 82 ==================== does not occur at i >= 1000000 ==================== value v = 83 ==================== does not occur at i >= 1000000 ==================== value v = 84 ==================== does not occur at i >= 1000000 ==================== value v = 85 ==================== does not occur at i >= 1000000 ==================== value v = 86 ==================== occurrences: 397678 (frequency 0.40427%) first at i = 1001504, last at i = 99368378 gaps: minimum 3, maximum 5384 (closes at i = 70196647), mean 247.35, std. dev. 326.00 (random occurrences would give mean 247.36, std. dev. 246.86, and P(gap = 1) = 0.40%) fraction of gaps <= k: k=3: 3.0% k=10: 6.5% k=20: 13.2% k=50: 29.0% k=100: 42.0% k=1000: 97.0% most frequent gaps: gap percent 3 3.04% 23 2.57% 26 2.48% 20 2.27% 6 1.98% 46 1.78% 17 1.69% 29 1.56% 43 1.54% 49 1.54% 9 1.23% 52 1.16% 14 1.10% 40 1.10% 69 1.07% 72 0.97% 32 0.96% 66 0.95% 75 0.78% 55 0.77% the 20 most frequent add up to 30.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.1% 2: 37.0% ==================== value v = 87 ==================== occurrences: 397566 (frequency 0.40416%) first at i = 1000448, last at i = 99368925 gaps: minimum 3, maximum 5648 (closes at i = 95194995), mean 247.43, std. dev. 326.19 (random occurrences would give mean 247.43, std. dev. 246.93, and P(gap = 1) = 0.40%) fraction of gaps <= k: k=3: 3.1% k=10: 6.5% k=20: 13.2% k=50: 28.9% k=100: 42.0% k=1000: 97.0% most frequent gaps: gap percent 3 3.05% 23 2.55% 26 2.46% 20 2.31% 6 1.96% 46 1.78% 17 1.69% 43 1.55% 49 1.54% 29 1.52% 9 1.20% 52 1.18% 40 1.10% 69 1.06% 14 1.06% 72 0.98% 32 0.96% 66 0.94% 75 0.79% 55 0.78% the 20 most frequent add up to 30.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 30.5% 2: 36.8% ==================== value v = 88 ==================== does not occur at i >= 1000000 ==================== value v = 89 ==================== does not occur at i >= 1000000 ==================== value v = 90 ==================== occurrences: 367273 (frequency 0.37336%) first at i = 1001921, last at i = 99368770 gaps: minimum 3, maximum 6208 (closes at i = 19163125), mean 267.83, std. dev. 338.90 (random occurrences would give mean 267.84, std. dev. 267.34, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.6% k=10: 5.7% k=20: 11.8% k=50: 26.0% k=100: 38.7% k=1000: 96.6% most frequent gaps: gap percent 3 2.58% 23 2.23% 26 2.18% 20 1.99% 6 1.69% 46 1.55% 17 1.49% 29 1.41% 49 1.39% 43 1.35% 52 1.11% 9 1.11% 40 1.01% 14 1.00% 69 0.99% 72 0.93% 32 0.88% 66 0.88% 55 0.77% 75 0.75% the 20 most frequent add up to 27.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.6% 2: 36.5% ==================== value v = 91 ==================== occurrences: 367461 (frequency 0.37355%) first at i = 1002291, last at i = 99368814 gaps: minimum 3, maximum 5356 (closes at i = 33916879), mean 267.69, std. dev. 339.14 (random occurrences would give mean 267.70, std. dev. 267.20, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.6% k=10: 5.7% k=20: 11.7% k=50: 26.0% k=100: 38.8% k=1000: 96.6% most frequent gaps: gap percent 3 2.60% 26 2.20% 23 2.18% 20 2.00% 6 1.71% 46 1.56% 17 1.48% 49 1.42% 29 1.40% 43 1.37% 9 1.11% 52 1.09% 69 1.03% 40 1.02% 14 0.97% 72 0.92% 32 0.91% 66 0.89% 75 0.74% 55 0.73% the 20 most frequent add up to 27.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 30.7% 2: 36.5% ==================== value v = 92 ==================== occurrences: 363043 (frequency 0.36906%) first at i = 1002375, last at i = 99368632 gaps: minimum 3, maximum 5281 (closes at i = 56537752), mean 270.95, std. dev. 346.86 (random occurrences would give mean 270.96, std. dev. 270.46, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.6% k=10: 5.8% k=20: 11.9% k=50: 26.2% k=100: 39.0% k=1000: 96.4% most frequent gaps: gap percent 3 2.60% 23 2.24% 26 2.19% 20 1.97% 6 1.73% 46 1.55% 17 1.48% 29 1.45% 49 1.41% 43 1.34% 9 1.14% 52 1.08% 69 1.00% 40 0.99% 14 0.99% 32 0.92% 72 0.92% 66 0.86% 55 0.78% 75 0.78% the 20 most frequent add up to 27.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 30.6% 2: 36.4% ==================== value v = 93 ==================== occurrences: 363277 (frequency 0.36930%) first at i = 1001015, last at i = 99368946 gaps: minimum 3, maximum 4965 (closes at i = 85754418), mean 270.78, std. dev. 345.76 (random occurrences would give mean 270.78, std. dev. 270.28, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.6% k=10: 5.8% k=20: 11.8% k=50: 26.1% k=100: 38.9% k=1000: 96.4% most frequent gaps: gap percent 3 2.61% 23 2.19% 26 2.18% 20 1.94% 6 1.74% 46 1.54% 17 1.46% 49 1.40% 29 1.38% 43 1.38% 9 1.14% 52 1.11% 40 1.01% 14 0.99% 69 0.97% 72 0.94% 32 0.94% 66 0.87% 55 0.75% 75 0.74% the 20 most frequent add up to 27.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.7% 2: 36.3% ==================== value v = 94 ==================== does not occur at i >= 1000000 ==================== value v = 95 ==================== does not occur at i >= 1000000 ==================== value v = 96 ==================== does not occur at i >= 1000000 ==================== value v = 97 ==================== does not occur at i >= 1000000 ==================== value v = 98 ==================== occurrences: 739746 (frequency 0.75201%) first at i = 1000005, last at i = 99368806 gaps: minimum 3, maximum 5140 (closes at i = 71462002), mean 132.98, std. dev. 243.05 (random occurrences would give mean 132.98, std. dev. 132.48, and P(gap = 1) = 0.75%) fraction of gaps <= k: k=3: 6.0% k=10: 12.7% k=20: 25.7% k=50: 49.6% k=100: 65.8% k=1000: 98.5% most frequent gaps: gap percent 3 5.98% 23 4.12% 20 3.94% 26 3.75% 6 3.67% 17 3.11% 46 2.33% 9 2.28% 43 2.24% 14 2.23% 29 2.21% 49 1.90% 40 1.85% 11 1.46% 32 1.37% 52 1.35% 12 1.32% 37 1.31% 66 1.26% 69 1.25% the 20 most frequent add up to 48.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.6% 1: 26.7% 2: 39.7% ==================== value v = 99 ==================== occurrences: 741370 (frequency 0.75366%) first at i = 1000348, last at i = 99368897 gaps: minimum 3, maximum 6217 (closes at i = 3627786), mean 132.69, std. dev. 242.19 (random occurrences would give mean 132.69, std. dev. 132.18, and P(gap = 1) = 0.75%) fraction of gaps <= k: k=3: 6.0% k=10: 12.8% k=20: 25.9% k=50: 49.7% k=100: 65.9% k=1000: 98.5% most frequent gaps: gap percent 3 6.04% 23 4.07% 20 3.94% 26 3.77% 6 3.67% 17 3.13% 46 2.29% 9 2.28% 14 2.27% 43 2.26% 29 2.21% 40 1.84% 49 1.83% 11 1.46% 32 1.35% 52 1.34% 37 1.34% 12 1.33% 66 1.26% 69 1.25% the 20 most frequent add up to 48.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.6% 1: 26.6% 2: 39.8% ==================== value v = 100 ==================== occurrences: 694207 (frequency 0.70572%) first at i = 1000036, last at i = 99368286 gaps: minimum 3, maximum 5364 (closes at i = 83736467), mean 141.70, std. dev. 249.74 (random occurrences would give mean 141.70, std. dev. 141.20, and P(gap = 1) = 0.71%) fraction of gaps <= k: k=3: 5.6% k=10: 12.0% k=20: 24.4% k=50: 47.5% k=100: 63.5% k=1000: 98.4% most frequent gaps: gap percent 3 5.60% 23 3.89% 20 3.73% 26 3.64% 6 3.42% 17 2.91% 46 2.21% 9 2.17% 29 2.17% 43 2.16% 14 2.12% 49 1.84% 40 1.75% 11 1.38% 32 1.37% 52 1.34% 12 1.27% 37 1.25% 66 1.23% 69 1.19% the 20 most frequent add up to 46.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.4% 1: 27.1% 2: 39.6% ==================== value v = 101 ==================== occurrences: 692995 (frequency 0.70449%) first at i = 1000020, last at i = 99368890 gaps: minimum 3, maximum 5388 (closes at i = 23685889), mean 141.95, std. dev. 250.55 (random occurrences would give mean 141.95, std. dev. 141.45, and P(gap = 1) = 0.70%) fraction of gaps <= k: k=3: 5.6% k=10: 12.0% k=20: 24.4% k=50: 47.4% k=100: 63.5% k=1000: 98.4% most frequent gaps: gap percent 3 5.62% 23 3.85% 20 3.73% 26 3.68% 6 3.45% 17 2.88% 46 2.23% 29 2.16% 9 2.16% 43 2.12% 14 2.11% 49 1.81% 40 1.71% 32 1.37% 11 1.36% 52 1.35% 37 1.26% 12 1.26% 69 1.20% 66 1.20% the 20 most frequent add up to 46.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.5% 1: 27.0% 2: 39.5% ==================== value v = 102 ==================== does not occur at i >= 1000000 ==================== value v = 103 ==================== does not occur at i >= 1000000 ==================== value v = 104 ==================== occurrences: 647499 (frequency 0.65824%) first at i = 1000184, last at i = 99368842 gaps: minimum 3, maximum 5723 (closes at i = 65649067), mean 151.92, std. dev. 251.67 (random occurrences would give mean 151.92, std. dev. 151.42, and P(gap = 1) = 0.66%) fraction of gaps <= k: k=3: 4.7% k=10: 10.3% k=20: 21.6% k=50: 43.4% k=100: 60.3% k=1000: 98.4% most frequent gaps: gap percent 3 4.68% 23 3.50% 26 3.32% 20 3.26% 6 2.90% 17 2.50% 46 2.08% 43 2.03% 29 1.95% 9 1.92% 14 1.83% 49 1.73% 40 1.63% 52 1.32% 11 1.29% 32 1.28% 12 1.26% 69 1.20% 66 1.19% 37 1.16% the 20 most frequent add up to 42.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 28.0% 2: 38.8% ==================== value v = 105 ==================== occurrences: 647830 (frequency 0.65857%) first at i = 1000002, last at i = 99368637 gaps: minimum 3, maximum 5448 (closes at i = 84704908), mean 151.84, std. dev. 252.14 (random occurrences would give mean 151.84, std. dev. 151.34, and P(gap = 1) = 0.66%) fraction of gaps <= k: k=3: 4.7% k=10: 10.4% k=20: 21.6% k=50: 43.4% k=100: 60.3% k=1000: 98.4% most frequent gaps: gap percent 3 4.71% 23 3.46% 26 3.30% 20 3.29% 6 2.93% 17 2.50% 46 2.08% 43 2.01% 29 1.95% 9 1.90% 14 1.79% 49 1.75% 40 1.62% 52 1.32% 32 1.32% 11 1.28% 12 1.26% 69 1.21% 66 1.17% 37 1.16% the 20 most frequent add up to 42.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.3% 1: 28.0% 2: 38.8% ==================== value v = 106 ==================== does not occur at i >= 1000000 ==================== value v = 107 ==================== does not occur at i >= 1000000 ==================== value v = 108 ==================== does not occur at i >= 1000000 ==================== value v = 109 ==================== does not occur at i >= 1000000 ==================== value v = 110 ==================== occurrences: 605360 (frequency 0.61540%) first at i = 1000049, last at i = 99368449 gaps: minimum 3, maximum 5519 (closes at i = 29674975), mean 162.50, std. dev. 263.42 (random occurrences would give mean 162.50, std. dev. 162.00, and P(gap = 1) = 0.62%) fraction of gaps <= k: k=3: 4.5% k=10: 9.9% k=20: 20.6% k=50: 41.6% k=100: 58.0% k=1000: 98.2% most frequent gaps: gap percent 3 4.48% 23 3.32% 26 3.20% 20 3.06% 6 2.77% 17 2.32% 46 1.99% 43 1.91% 29 1.89% 9 1.84% 14 1.71% 49 1.69% 40 1.51% 52 1.27% 32 1.25% 12 1.23% 11 1.22% 69 1.15% 66 1.13% 37 1.09% the 20 most frequent add up to 40.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.3% 1: 28.2% 2: 38.6% ==================== value v = 111 ==================== occurrences: 605378 (frequency 0.61542%) first at i = 1000030, last at i = 99368827 gaps: minimum 3, maximum 5112 (closes at i = 59503364), mean 162.49, std. dev. 263.61 (random occurrences would give mean 162.49, std. dev. 161.99, and P(gap = 1) = 0.62%) fraction of gaps <= k: k=3: 4.5% k=10: 9.9% k=20: 20.6% k=50: 41.7% k=100: 58.1% k=1000: 98.2% most frequent gaps: gap percent 3 4.47% 23 3.26% 26 3.21% 20 3.08% 6 2.76% 17 2.34% 46 2.01% 43 1.93% 29 1.91% 9 1.83% 14 1.74% 49 1.71% 40 1.47% 52 1.31% 32 1.26% 11 1.22% 12 1.22% 69 1.15% 37 1.11% 66 1.08% the 20 most frequent add up to 40.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.2% 1: 28.3% 2: 38.5% ==================== value v = 112 ==================== does not occur at i >= 1000000 ==================== value v = 113 ==================== does not occur at i >= 1000000 ==================== value v = 114 ==================== occurrences: 409834 (frequency 0.41663%) first at i = 1000147, last at i = 99368759 gaps: minimum 3, maximum 6505 (closes at i = 9082187), mean 240.02, std. dev. 438.20 (random occurrences would give mean 240.02, std. dev. 239.52, and P(gap = 1) = 0.42%) fraction of gaps <= k: k=3: 2.8% k=10: 6.2% k=20: 13.3% k=50: 29.5% k=100: 46.2% k=1000: 96.4% most frequent gaps: gap percent 3 2.78% 23 2.42% 26 2.33% 20 2.20% 46 1.79% 6 1.72% 43 1.65% 17 1.59% 49 1.40% 29 1.37% 40 1.20% 9 1.18% 69 1.16% 66 1.13% 14 1.12% 52 1.06% 72 1.00% 32 0.94% 63 0.91% 89 0.87% the 20 most frequent add up to 29.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.3% 2: 36.8% ==================== value v = 115 ==================== occurrences: 410813 (frequency 0.41762%) first at i = 1000004, last at i = 99368657 gaps: minimum 3, maximum 7262 (closes at i = 14821981), mean 239.45, std. dev. 434.98 (random occurrences would give mean 239.45, std. dev. 238.95, and P(gap = 1) = 0.42%) fraction of gaps <= k: k=3: 2.8% k=10: 6.2% k=20: 13.4% k=50: 29.6% k=100: 46.3% k=1000: 96.4% most frequent gaps: gap percent 3 2.76% 23 2.41% 26 2.27% 20 2.22% 46 1.77% 6 1.75% 43 1.64% 17 1.58% 49 1.42% 29 1.36% 40 1.22% 9 1.19% 69 1.17% 66 1.15% 14 1.11% 52 1.07% 72 0.97% 32 0.94% 63 0.93% 89 0.88% the 20 most frequent add up to 29.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.3% 2: 36.8% ==================== value v = 116 ==================== occurrences: 392352 (frequency 0.39886%) first at i = 1000339, last at i = 99368509 gaps: minimum 3, maximum 7202 (closes at i = 61241966), mean 250.71, std. dev. 447.15 (random occurrences would give mean 250.72, std. dev. 250.22, and P(gap = 1) = 0.40%) fraction of gaps <= k: k=3: 2.7% k=10: 5.9% k=20: 12.8% k=50: 28.5% k=100: 44.6% k=1000: 96.2% most frequent gaps: gap percent 3 2.72% 23 2.41% 26 2.25% 20 2.16% 46 1.76% 6 1.65% 43 1.56% 17 1.51% 49 1.38% 29 1.36% 40 1.14% 69 1.11% 9 1.10% 66 1.07% 14 1.05% 52 1.03% 72 0.95% 32 0.95% 63 0.86% 89 0.85% the 20 most frequent add up to 28.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 30.4% 2: 36.8% ==================== value v = 117 ==================== occurrences: 392804 (frequency 0.39932%) first at i = 1000025, last at i = 99368631 gaps: minimum 3, maximum 6918 (closes at i = 88220844), mean 250.43, std. dev. 447.28 (random occurrences would give mean 250.43, std. dev. 249.93, and P(gap = 1) = 0.40%) fraction of gaps <= k: k=3: 2.7% k=10: 5.9% k=20: 12.8% k=50: 28.4% k=100: 44.6% k=1000: 96.2% most frequent gaps: gap percent 3 2.69% 23 2.36% 26 2.26% 20 2.15% 46 1.75% 6 1.63% 43 1.55% 17 1.52% 49 1.39% 29 1.35% 9 1.15% 40 1.15% 69 1.14% 66 1.11% 14 1.07% 52 1.03% 72 0.96% 32 0.90% 63 0.85% 89 0.83% the 20 most frequent add up to 28.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 30.5% 2: 36.7% ==================== value v = 118 ==================== does not occur at i >= 1000000 ==================== value v = 119 ==================== does not occur at i >= 1000000 ==================== value v = 120 ==================== occurrences: 360599 (frequency 0.36658%) first at i = 1000447, last at i = 99368938 gaps: minimum 3, maximum 6321 (closes at i = 14724590), mean 272.79, std. dev. 442.93 (random occurrences would give mean 272.79, std. dev. 272.29, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.3% k=10: 5.0% k=20: 11.1% k=50: 25.1% k=100: 40.5% k=1000: 95.7% most frequent gaps: gap percent 3 2.28% 23 2.08% 26 1.94% 20 1.84% 46 1.53% 6 1.37% 43 1.37% 17 1.23% 49 1.22% 29 1.11% 69 1.04% 40 1.03% 66 1.02% 9 0.91% 52 0.91% 14 0.88% 72 0.86% 32 0.80% 63 0.77% 89 0.77% the 20 most frequent add up to 25.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 30.7% 2: 36.2% ==================== value v = 121 ==================== occurrences: 360766 (frequency 0.36675%) first at i = 1000150, last at i = 99368664 gaps: minimum 3, maximum 6108 (closes at i = 46852273), mean 272.67, std. dev. 442.75 (random occurrences would give mean 272.67, std. dev. 272.17, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.2% k=10: 5.0% k=20: 11.0% k=50: 25.1% k=100: 40.4% k=1000: 95.7% most frequent gaps: gap percent 3 2.25% 23 2.06% 26 2.01% 20 1.79% 46 1.56% 43 1.41% 6 1.35% 17 1.27% 49 1.21% 29 1.10% 40 1.03% 69 1.02% 66 1.00% 9 0.94% 52 0.87% 14 0.86% 72 0.85% 63 0.80% 92 0.79% 32 0.79% the 20 most frequent add up to 25.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 30.9% 2: 36.2% ==================== value v = 122 ==================== does not occur at i >= 1000000 ==================== value v = 123 ==================== does not occur at i >= 1000000 ==================== value v = 124 ==================== does not occur at i >= 1000000 ==================== value v = 125 ==================== does not occur at i >= 1000000 ==================== value v = 126 ==================== occurrences: 339408 (frequency 0.34504%) first at i = 1000071, last at i = 99368255 gaps: minimum 3, maximum 6705 (closes at i = 43806797), mean 289.82, std. dev. 456.82 (random occurrences would give mean 289.83, std. dev. 289.32, and P(gap = 1) = 0.35%) fraction of gaps <= k: k=3: 2.2% k=10: 4.8% k=20: 10.4% k=50: 24.0% k=100: 38.5% k=1000: 95.2% most frequent gaps: gap percent 3 2.20% 23 2.06% 26 1.93% 20 1.73% 46 1.48% 43 1.29% 6 1.28% 49 1.19% 17 1.17% 29 1.07% 69 0.99% 66 0.95% 40 0.94% 52 0.88% 9 0.86% 14 0.82% 72 0.80% 32 0.74% 63 0.73% 55 0.71% the 20 most frequent add up to 23.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 31.1% 2: 36.1% ==================== value v = 127 ==================== occurrences: 338891 (frequency 0.34451%) first at i = 1000290, last at i = 99368627 gaps: minimum 3, maximum 6332 (closes at i = 69863407), mean 290.27, std. dev. 457.73 (random occurrences would give mean 290.27, std. dev. 289.77, and P(gap = 1) = 0.34%) fraction of gaps <= k: k=3: 2.2% k=10: 4.7% k=20: 10.4% k=50: 23.8% k=100: 38.5% k=1000: 95.2% most frequent gaps: gap percent 3 2.16% 23 2.05% 26 1.90% 20 1.73% 46 1.46% 43 1.30% 6 1.27% 49 1.18% 17 1.18% 29 1.08% 69 0.98% 40 0.93% 66 0.92% 52 0.86% 9 0.85% 72 0.85% 14 0.81% 89 0.75% 92 0.74% 32 0.72% the 20 most frequent add up to 23.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 31.0% 2: 36.2% ==================== value v = 128 ==================== occurrences: 2084386 (frequency 2.11895%) first at i = 1000012, last at i = 99368877 gaps: minimum 3, maximum 1191 (closes at i = 28815055), mean 47.19, std. dev. 59.89 (random occurrences would give mean 47.19, std. dev. 46.69, and P(gap = 1) = 2.12%) fraction of gaps <= k: k=3: 13.6% k=10: 22.2% k=20: 42.1% k=50: 73.1% k=100: 87.4% k=1000: 100.0% most frequent gaps: gap percent 3 13.63% 20 8.30% 23 7.93% 17 5.96% 6 5.94% 26 5.54% 43 3.50% 46 3.34% 14 3.30% 40 2.69% 29 2.28% 9 2.25% 49 2.14% 66 1.77% 69 1.58% 37 1.57% 63 1.46% 11 1.39% 89 1.03% 52 0.99% the 20 most frequent add up to 76.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.8% 1: 21.1% 2: 44.1% ==================== value v = 129 ==================== occurrences: 2086738 (frequency 2.12134%) first at i = 1000019, last at i = 99368956 gaps: minimum 3, maximum 1232 (closes at i = 72857793), mean 47.14, std. dev. 59.94 (random occurrences would give mean 47.14, std. dev. 46.64, and P(gap = 1) = 2.12%) fraction of gaps <= k: k=3: 13.7% k=10: 22.3% k=20: 42.1% k=50: 73.1% k=100: 87.4% k=1000: 100.0% most frequent gaps: gap percent 3 13.66% 20 8.27% 23 7.95% 6 5.96% 17 5.92% 26 5.54% 43 3.50% 46 3.34% 14 3.32% 40 2.69% 29 2.26% 9 2.23% 49 2.13% 66 1.76% 37 1.60% 69 1.56% 63 1.47% 11 1.39% 89 1.02% 52 1.00% the 20 most frequent add up to 76.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.9% 1: 21.1% 2: 44.0% ==================== value v = 130 ==================== does not occur at i >= 1000000 ==================== value v = 131 ==================== does not occur at i >= 1000000 ==================== value v = 132 ==================== does not occur at i >= 1000000 ==================== value v = 133 ==================== does not occur at i >= 1000000 ==================== value v = 134 ==================== occurrences: 1758589 (frequency 1.78775%) first at i = 1000182, last at i = 99368929 gaps: minimum 3, maximum 1338 (closes at i = 25396101), mean 55.94, std. dev. 68.43 (random occurrences would give mean 55.94, std. dev. 55.43, and P(gap = 1) = 1.79%) fraction of gaps <= k: k=3: 11.6% k=10: 19.6% k=20: 37.5% k=50: 67.7% k=100: 83.0% k=1000: 100.0% most frequent gaps: gap percent 3 11.63% 20 7.30% 23 7.20% 26 5.41% 6 5.40% 17 5.29% 43 3.37% 46 3.28% 14 2.98% 40 2.61% 29 2.38% 49 2.29% 9 2.19% 66 1.77% 69 1.62% 37 1.54% 63 1.46% 11 1.28% 52 1.16% 72 1.11% the 20 most frequent add up to 71.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.1% 1: 22.8% 2: 43.1% ==================== value v = 135 ==================== occurrences: 1756896 (frequency 1.78603%) first at i = 1000140, last at i = 99368887 gaps: minimum 3, maximum 1278 (closes at i = 64775289), mean 55.99, std. dev. 68.48 (random occurrences would give mean 55.99, std. dev. 55.49, and P(gap = 1) = 1.79%) fraction of gaps <= k: k=3: 11.6% k=10: 19.6% k=20: 37.4% k=50: 67.6% k=100: 82.9% k=1000: 100.0% most frequent gaps: gap percent 3 11.60% 20 7.29% 23 7.22% 6 5.44% 26 5.42% 17 5.30% 43 3.37% 46 3.28% 14 2.98% 40 2.59% 29 2.40% 49 2.28% 9 2.19% 66 1.76% 69 1.63% 37 1.55% 63 1.45% 11 1.27% 52 1.13% 72 1.11% the 20 most frequent add up to 71.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.1% 1: 22.7% 2: 43.1% ==================== value v = 136 ==================== does not occur at i >= 1000000 ==================== value v = 137 ==================== does not occur at i >= 1000000 ==================== value v = 138 ==================== occurrences: 1348669 (frequency 1.37103%) first at i = 1000051, last at i = 99368959 gaps: minimum 3, maximum 1769 (closes at i = 94095375), mean 72.94, std. dev. 83.03 (random occurrences would give mean 72.94, std. dev. 72.44, and P(gap = 1) = 1.37%) fraction of gaps <= k: k=3: 8.1% k=10: 14.5% k=20: 28.6% k=50: 56.8% k=100: 75.6% k=1000: 100.0% most frequent gaps: gap percent 3 8.08% 23 5.80% 20 5.65% 26 4.88% 6 4.14% 17 3.99% 46 3.25% 43 3.23% 40 2.46% 49 2.40% 29 2.33% 14 2.32% 66 2.00% 69 1.93% 9 1.90% 63 1.65% 37 1.51% 89 1.37% 72 1.36% 52 1.33% the 20 most frequent add up to 61.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 25.9% 2: 41.0% ==================== value v = 139 ==================== occurrences: 1349030 (frequency 1.37140%) first at i = 1000038, last at i = 99368952 gaps: minimum 3, maximum 1456 (closes at i = 65103141), mean 72.92, std. dev. 82.97 (random occurrences would give mean 72.92, std. dev. 72.42, and P(gap = 1) = 1.37%) fraction of gaps <= k: k=3: 8.1% k=10: 14.5% k=20: 28.6% k=50: 56.8% k=100: 75.6% k=1000: 100.0% most frequent gaps: gap percent 3 8.07% 23 5.78% 20 5.70% 26 4.88% 6 4.14% 17 3.98% 46 3.26% 43 3.20% 40 2.46% 49 2.40% 14 2.33% 29 2.32% 66 1.99% 69 1.94% 9 1.89% 63 1.63% 37 1.50% 89 1.39% 72 1.35% 52 1.33% the 20 most frequent add up to 61.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 25.9% 2: 41.1% ==================== value v = 140 ==================== occurrences: 1175465 (frequency 1.19496%) first at i = 1000154, last at i = 99368856 gaps: minimum 3, maximum 1528 (closes at i = 60657880), mean 83.68, std. dev. 93.36 (random occurrences would give mean 83.69, std. dev. 83.18, and P(gap = 1) = 1.19%) fraction of gaps <= k: k=3: 7.2% k=10: 13.2% k=20: 26.1% k=50: 52.8% k=100: 71.1% k=1000: 100.0% most frequent gaps: gap percent 3 7.20% 23 5.27% 20 5.11% 26 4.63% 6 3.81% 17 3.57% 46 3.08% 43 2.99% 49 2.37% 29 2.29% 40 2.24% 14 2.11% 66 1.86% 9 1.83% 69 1.82% 63 1.50% 37 1.42% 52 1.35% 72 1.35% 89 1.28% the 20 most frequent add up to 57.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 26.7% 2: 40.4% ==================== value v = 141 ==================== occurrences: 1176296 (frequency 1.19580%) first at i = 1000153, last at i = 99368900 gaps: minimum 3, maximum 1669 (closes at i = 89167337), mean 83.63, std. dev. 93.34 (random occurrences would give mean 83.63, std. dev. 83.12, and P(gap = 1) = 1.20%) fraction of gaps <= k: k=3: 7.1% k=10: 13.2% k=20: 26.0% k=50: 52.8% k=100: 71.1% k=1000: 100.0% most frequent gaps: gap percent 3 7.15% 23 5.31% 20 5.10% 26 4.63% 6 3.79% 17 3.56% 46 3.10% 43 3.01% 49 2.33% 29 2.31% 40 2.26% 14 2.11% 66 1.85% 9 1.84% 69 1.84% 63 1.52% 37 1.40% 52 1.38% 72 1.34% 89 1.27% the 20 most frequent add up to 57.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 26.7% 2: 40.4% ==================== value v = 142 ==================== does not occur at i >= 1000000 ==================== value v = 143 ==================== does not occur at i >= 1000000 ==================== value v = 144 ==================== occurrences: 1001018 (frequency 1.01762%) first at i = 1000209, last at i = 99368844 gaps: minimum 3, maximum 2361 (closes at i = 98574003), mean 98.27, std. dev. 112.21 (random occurrences would give mean 98.27, std. dev. 97.77, and P(gap = 1) = 1.02%) fraction of gaps <= k: k=3: 6.7% k=10: 12.4% k=20: 24.4% k=50: 49.1% k=100: 66.3% k=1000: 100.0% most frequent gaps: gap percent 3 6.75% 23 5.05% 20 4.76% 26 4.06% 6 3.56% 17 3.40% 46 2.89% 43 2.87% 49 2.16% 29 2.14% 40 2.11% 14 1.95% 66 1.79% 69 1.72% 9 1.71% 63 1.39% 37 1.26% 89 1.26% 72 1.25% 52 1.24% the 20 most frequent add up to 53.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 27.2% 2: 39.8% ==================== value v = 145 ==================== occurrences: 1002797 (frequency 1.01942%) first at i = 1000087, last at i = 99368912 gaps: minimum 3, maximum 2088 (closes at i = 14858008), mean 98.09, std. dev. 111.98 (random occurrences would give mean 98.09, std. dev. 97.59, and P(gap = 1) = 1.02%) fraction of gaps <= k: k=3: 6.8% k=10: 12.4% k=20: 24.4% k=50: 49.2% k=100: 66.3% k=1000: 100.0% most frequent gaps: gap percent 3 6.75% 23 5.12% 20 4.78% 26 4.06% 6 3.56% 17 3.40% 46 2.90% 43 2.87% 29 2.14% 49 2.12% 40 2.09% 14 1.92% 66 1.77% 9 1.72% 69 1.72% 63 1.40% 89 1.27% 72 1.26% 37 1.24% 52 1.22% the 20 most frequent add up to 53.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 27.0% 2: 40.0% ==================== value v = 146 ==================== does not occur at i >= 1000000 ==================== value v = 147 ==================== does not occur at i >= 1000000 ==================== value v = 148 ==================== does not occur at i >= 1000000 ==================== value v = 149 ==================== does not occur at i >= 1000000 ==================== value v = 150 ==================== occurrences: 960367 (frequency 0.97629%) first at i = 1000094, last at i = 99368221 gaps: minimum 3, maximum 1838 (closes at i = 93124502), mean 102.43, std. dev. 116.69 (random occurrences would give mean 102.43, std. dev. 101.93, and P(gap = 1) = 0.98%) fraction of gaps <= k: k=3: 6.7% k=10: 12.3% k=20: 24.2% k=50: 48.6% k=100: 65.2% k=1000: 100.0% most frequent gaps: gap percent 3 6.67% 23 5.06% 20 4.64% 26 4.01% 6 3.51% 17 3.35% 46 2.83% 43 2.78% 49 2.10% 29 2.09% 40 2.01% 14 1.89% 9 1.77% 66 1.70% 69 1.64% 63 1.31% 52 1.23% 72 1.22% 37 1.22% 89 1.18% the 20 most frequent add up to 52.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.1% 1: 27.0% 2: 39.9% ==================== value v = 151 ==================== occurrences: 960070 (frequency 0.97599%) first at i = 1000090, last at i = 99368748 gaps: minimum 3, maximum 1933 (closes at i = 40622823), mean 102.46, std. dev. 116.70 (random occurrences would give mean 102.46, std. dev. 101.96, and P(gap = 1) = 0.98%) fraction of gaps <= k: k=3: 6.6% k=10: 12.3% k=20: 24.2% k=50: 48.6% k=100: 65.1% k=1000: 100.0% most frequent gaps: gap percent 3 6.64% 23 5.04% 20 4.63% 26 3.97% 6 3.55% 17 3.32% 46 2.87% 43 2.80% 29 2.08% 49 2.06% 40 2.05% 14 1.94% 9 1.75% 66 1.68% 69 1.66% 63 1.31% 52 1.22% 72 1.21% 37 1.18% 89 1.18% the 20 most frequent add up to 52.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 27.1% 2: 39.8% ==================== value v = 152 ==================== does not occur at i >= 1000000 ==================== value v = 153 ==================== does not occur at i >= 1000000 ==================== value v = 154 ==================== occurrences: 831214 (frequency 0.84500%) first at i = 1000489, last at i = 99368791 gaps: minimum 3, maximum 2168 (closes at i = 95309733), mean 118.34, std. dev. 129.95 (random occurrences would give mean 118.34, std. dev. 117.84, and P(gap = 1) = 0.84%) fraction of gaps <= k: k=3: 5.5% k=10: 10.1% k=20: 20.3% k=50: 42.8% k=100: 59.9% k=1000: 99.9% most frequent gaps: gap percent 3 5.48% 23 4.35% 20 4.02% 26 3.64% 6 2.89% 17 2.80% 46 2.70% 43 2.64% 49 2.01% 40 1.91% 29 1.90% 66 1.74% 69 1.68% 14 1.60% 9 1.45% 63 1.37% 89 1.25% 72 1.24% 52 1.15% 37 1.13% the 20 most frequent add up to 47.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 28.3% 2: 38.8% ==================== value v = 155 ==================== occurrences: 830466 (frequency 0.84424%) first at i = 1000255, last at i = 99368775 gaps: minimum 3, maximum 2243 (closes at i = 14651800), mean 118.45, std. dev. 130.01 (random occurrences would give mean 118.45, std. dev. 117.95, and P(gap = 1) = 0.84%) fraction of gaps <= k: k=3: 5.5% k=10: 10.2% k=20: 20.4% k=50: 42.8% k=100: 59.9% k=1000: 99.9% most frequent gaps: gap percent 3 5.49% 23 4.37% 20 4.05% 26 3.58% 6 2.93% 17 2.82% 46 2.67% 43 2.66% 49 2.02% 40 1.92% 29 1.90% 66 1.74% 69 1.68% 14 1.61% 9 1.45% 63 1.37% 72 1.26% 89 1.24% 52 1.16% 37 1.14% the 20 most frequent add up to 47.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 28.3% 2: 38.8% ==================== value v = 156 ==================== occurrences: 793123 (frequency 0.80627%) first at i = 1000024, last at i = 99368926 gaps: minimum 3, maximum 3021 (closes at i = 32321765), mean 124.03, std. dev. 136.30 (random occurrences would give mean 124.03, std. dev. 123.53, and P(gap = 1) = 0.81%) fraction of gaps <= k: k=3: 5.4% k=10: 10.1% k=20: 20.3% k=50: 42.3% k=100: 58.8% k=1000: 99.9% most frequent gaps: gap percent 3 5.41% 23 4.33% 20 3.97% 26 3.55% 6 2.89% 17 2.79% 46 2.61% 43 2.54% 49 1.96% 29 1.88% 40 1.83% 66 1.66% 69 1.63% 14 1.59% 9 1.47% 63 1.27% 72 1.21% 52 1.19% 89 1.16% 37 1.09% the 20 most frequent add up to 46.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 28.2% 2: 38.9% ==================== value v = 157 ==================== occurrences: 794594 (frequency 0.80777%) first at i = 1000057, last at i = 99368683 gaps: minimum 3, maximum 1953 (closes at i = 92128213), mean 123.80, std. dev. 136.20 (random occurrences would give mean 123.80, std. dev. 123.30, and P(gap = 1) = 0.81%) fraction of gaps <= k: k=3: 5.5% k=10: 10.2% k=20: 20.3% k=50: 42.5% k=100: 58.8% k=1000: 99.9% most frequent gaps: gap percent 3 5.47% 23 4.31% 20 3.99% 26 3.59% 6 2.94% 17 2.76% 46 2.63% 43 2.56% 49 1.96% 29 1.90% 40 1.84% 66 1.63% 69 1.60% 14 1.60% 9 1.46% 63 1.26% 72 1.21% 52 1.17% 89 1.12% 37 1.07% the 20 most frequent add up to 46.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 28.3% 2: 38.8% ==================== value v = 158 ==================== does not occur at i >= 1000000 ==================== value v = 159 ==================== does not occur at i >= 1000000 ==================== value v = 160 ==================== does not occur at i >= 1000000 ==================== value v = 161 ==================== does not occur at i >= 1000000 ==================== value v = 162 ==================== occurrences: 935303 (frequency 0.95081%) first at i = 1000166, last at i = 99368812 gaps: minimum 3, maximum 4213 (closes at i = 96409046), mean 105.17, std. dev. 179.01 (random occurrences would give mean 105.17, std. dev. 104.67, and P(gap = 1) = 0.95%) fraction of gaps <= k: k=3: 6.7% k=10: 12.4% k=20: 24.9% k=50: 50.5% k=100: 69.7% k=1000: 99.2% most frequent gaps: gap percent 3 6.69% 23 5.04% 20 4.92% 26 4.28% 6 3.49% 17 3.32% 46 2.87% 43 2.80% 40 2.15% 29 2.13% 49 2.08% 14 1.94% 66 1.79% 9 1.70% 69 1.67% 63 1.53% 37 1.39% 89 1.29% 52 1.25% 72 1.20% the 20 most frequent add up to 53.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 26.9% 2: 40.1% ==================== value v = 163 ==================== occurrences: 933762 (frequency 0.94924%) first at i = 1000202, last at i = 99368785 gaps: minimum 3, maximum 4293 (closes at i = 44904658), mean 105.35, std. dev. 179.31 (random occurrences would give mean 105.35, std. dev. 104.85, and P(gap = 1) = 0.95%) fraction of gaps <= k: k=3: 6.6% k=10: 12.3% k=20: 24.8% k=50: 50.5% k=100: 69.7% k=1000: 99.2% most frequent gaps: gap percent 3 6.64% 23 5.07% 20 4.92% 26 4.28% 6 3.47% 17 3.37% 46 2.87% 43 2.80% 29 2.14% 40 2.13% 49 2.10% 14 1.92% 66 1.82% 69 1.69% 9 1.67% 63 1.53% 37 1.37% 52 1.28% 89 1.24% 72 1.20% the 20 most frequent add up to 53.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 26.9% 2: 40.2% ==================== value v = 164 ==================== occurrences: 773108 (frequency 0.78593%) first at i = 1000321, last at i = 99368835 gaps: minimum 3, maximum 4454 (closes at i = 4909484), mean 127.24, std. dev. 207.19 (random occurrences would give mean 127.24, std. dev. 126.74, and P(gap = 1) = 0.79%) fraction of gaps <= k: k=3: 5.8% k=10: 10.7% k=20: 21.8% k=50: 45.3% k=100: 63.4% k=1000: 98.9% most frequent gaps: gap percent 3 5.78% 23 4.56% 20 4.42% 26 3.88% 6 2.93% 17 2.81% 46 2.70% 43 2.60% 29 1.92% 49 1.89% 40 1.87% 66 1.68% 14 1.63% 69 1.57% 9 1.49% 63 1.36% 89 1.18% 52 1.18% 37 1.17% 72 1.09% the 20 most frequent add up to 47.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 27.9% 2: 39.4% ==================== value v = 165 ==================== occurrences: 771684 (frequency 0.78448%) first at i = 1001215, last at i = 99368822 gaps: minimum 3, maximum 4747 (closes at i = 66797589), mean 127.47, std. dev. 207.30 (random occurrences would give mean 127.47, std. dev. 126.97, and P(gap = 1) = 0.78%) fraction of gaps <= k: k=3: 5.8% k=10: 10.7% k=20: 21.8% k=50: 45.2% k=100: 63.3% k=1000: 98.9% most frequent gaps: gap percent 3 5.78% 23 4.59% 20 4.38% 26 3.84% 6 2.93% 17 2.81% 46 2.69% 43 2.58% 29 1.90% 49 1.89% 40 1.87% 66 1.67% 14 1.63% 69 1.59% 9 1.47% 63 1.32% 89 1.19% 37 1.18% 52 1.15% 72 1.10% the 20 most frequent add up to 47.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 27.8% 2: 39.4% ==================== value v = 166 ==================== does not occur at i >= 1000000 ==================== value v = 167 ==================== does not occur at i >= 1000000 ==================== value v = 168 ==================== occurrences: 560031 (frequency 0.56932%) first at i = 1000156, last at i = 99368773 gaps: minimum 3, maximum 4741 (closes at i = 86905879), mean 175.65, std. dev. 277.01 (random occurrences would give mean 175.65, std. dev. 175.15, and P(gap = 1) = 0.57%) fraction of gaps <= k: k=3: 3.8% k=10: 7.2% k=20: 15.1% k=50: 34.0% k=100: 52.3% k=1000: 98.1% most frequent gaps: gap percent 3 3.75% 23 3.26% 20 3.01% 26 2.99% 46 2.23% 43 2.01% 6 1.90% 17 1.81% 49 1.63% 69 1.51% 66 1.48% 29 1.47% 40 1.39% 89 1.16% 63 1.16% 14 1.08% 72 1.07% 52 1.04% 9 1.03% 92 1.02% the 20 most frequent add up to 36.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 29.7% 2: 37.6% ==================== value v = 169 ==================== occurrences: 560915 (frequency 0.57022%) first at i = 1002302, last at i = 99367856 gaps: minimum 3, maximum 4937 (closes at i = 52992202), mean 175.37, std. dev. 278.20 (random occurrences would give mean 175.37, std. dev. 174.87, and P(gap = 1) = 0.57%) fraction of gaps <= k: k=3: 3.7% k=10: 7.2% k=20: 15.1% k=50: 34.2% k=100: 52.4% k=1000: 98.1% most frequent gaps: gap percent 3 3.68% 23 3.24% 20 3.03% 26 3.01% 46 2.23% 43 2.05% 6 1.94% 17 1.84% 49 1.64% 69 1.49% 66 1.48% 29 1.48% 40 1.43% 89 1.17% 63 1.14% 14 1.08% 72 1.06% 52 1.04% 9 1.03% 92 1.00% the 20 most frequent add up to 36.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 29.7% 2: 37.6% ==================== value v = 170 ==================== does not occur at i >= 1000000 ==================== value v = 171 ==================== does not occur at i >= 1000000 ==================== value v = 172 ==================== does not occur at i >= 1000000 ==================== value v = 173 ==================== does not occur at i >= 1000000 ==================== value v = 174 ==================== occurrences: 471133 (frequency 0.47894%) first at i = 1000018, last at i = 99368879 gaps: minimum 3, maximum 5138 (closes at i = 63351726), mean 208.79, std. dev. 308.76 (random occurrences would give mean 208.79, std. dev. 208.29, and P(gap = 1) = 0.48%) fraction of gaps <= k: k=3: 3.2% k=10: 6.1% k=20: 13.0% k=50: 30.2% k=100: 46.6% k=1000: 97.5% most frequent gaps: gap percent 3 3.24% 23 3.00% 20 2.75% 26 2.72% 46 2.05% 43 1.88% 6 1.56% 17 1.51% 49 1.46% 69 1.40% 66 1.36% 29 1.22% 40 1.20% 89 1.04% 63 1.02% 72 0.92% 52 0.91% 92 0.88% 86 0.85% 14 0.84% the 20 most frequent add up to 31.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 30.3% 2: 37.0% ==================== value v = 175 ==================== occurrences: 471197 (frequency 0.47901%) first at i = 1001317, last at i = 99368910 gaps: minimum 3, maximum 5149 (closes at i = 28241577), mean 208.76, std. dev. 308.99 (random occurrences would give mean 208.76, std. dev. 208.26, and P(gap = 1) = 0.48%) fraction of gaps <= k: k=3: 3.3% k=10: 6.1% k=20: 13.0% k=50: 30.3% k=100: 46.7% k=1000: 97.5% most frequent gaps: gap percent 3 3.26% 23 3.05% 26 2.76% 20 2.70% 46 2.08% 43 1.87% 6 1.53% 17 1.52% 49 1.49% 66 1.35% 69 1.33% 29 1.24% 40 1.22% 89 1.09% 63 0.99% 72 0.93% 92 0.91% 52 0.89% 112 0.86% 86 0.85% the 20 most frequent add up to 31.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.6% 1: 30.3% 2: 37.1% ==================== value v = 176 ==================== does not occur at i >= 1000000 ==================== value v = 177 ==================== does not occur at i >= 1000000 ==================== value v = 178 ==================== occurrences: 483590 (frequency 0.49161%) first at i = 1003918, last at i = 99367596 gaps: minimum 3, maximum 4882 (closes at i = 1016089), mean 203.40, std. dev. 310.95 (random occurrences would give mean 203.41, std. dev. 202.91, and P(gap = 1) = 0.49%) fraction of gaps <= k: k=3: 4.0% k=10: 6.5% k=20: 13.7% k=50: 32.1% k=100: 47.7% k=1000: 97.6% most frequent gaps: gap percent 3 3.99% 23 3.85% 20 3.45% 26 2.87% 46 2.71% 43 2.44% 66 1.80% 69 1.76% 17 1.75% 49 1.59% 6 1.58% 40 1.43% 89 1.37% 63 1.17% 112 1.11% 92 1.10% 29 1.08% 72 1.01% 86 0.96% 135 0.93% the 20 most frequent add up to 37.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.6% 1: 30.1% 2: 37.3% ==================== value v = 179 ==================== occurrences: 482341 (frequency 0.49034%) first at i = 1001082, last at i = 99367434 gaps: minimum 3, maximum 5270 (closes at i = 42295705), mean 203.94, std. dev. 312.74 (random occurrences would give mean 203.94, std. dev. 203.44, and P(gap = 1) = 0.49%) fraction of gaps <= k: k=3: 4.0% k=10: 6.5% k=20: 13.7% k=50: 32.1% k=100: 47.8% k=1000: 97.5% most frequent gaps: gap percent 3 4.01% 23 3.87% 20 3.43% 26 2.82% 46 2.71% 43 2.45% 66 1.76% 17 1.76% 69 1.74% 49 1.61% 6 1.60% 40 1.44% 89 1.37% 63 1.17% 92 1.15% 29 1.09% 112 1.09% 72 1.02% 86 1.01% 135 0.91% the 20 most frequent add up to 38.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 30.2% 2: 37.4% ==================== value v = 180 ==================== occurrences: 450553 (frequency 0.45802%) first at i = 1000001, last at i = 99368845 gaps: minimum 3, maximum 5302 (closes at i = 34624388), mean 218.33, std. dev. 328.43 (random occurrences would give mean 218.33, std. dev. 217.83, and P(gap = 1) = 0.46%) fraction of gaps <= k: k=3: 4.0% k=10: 6.4% k=20: 13.3% k=50: 31.4% k=100: 46.0% k=1000: 97.2% most frequent gaps: gap percent 3 4.04% 23 3.96% 20 3.45% 26 2.79% 46 2.69% 43 2.46% 66 1.76% 69 1.70% 17 1.66% 49 1.55% 6 1.53% 40 1.34% 89 1.28% 92 1.11% 63 1.10% 29 1.01% 112 1.00% 72 0.91% 224 0.89% 86 0.88% the 20 most frequent add up to 37.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.3% 1: 30.3% 2: 37.4% ==================== value v = 181 ==================== occurrences: 450280 (frequency 0.45775%) first at i = 1001762, last at i = 99368861 gaps: minimum 3, maximum 5313 (closes at i = 12656448), mean 218.46, std. dev. 330.43 (random occurrences would give mean 218.46, std. dev. 217.96, and P(gap = 1) = 0.46%) fraction of gaps <= k: k=3: 4.0% k=10: 6.3% k=20: 13.2% k=50: 31.4% k=100: 46.0% k=1000: 97.2% most frequent gaps: gap percent 23 3.99% 3 3.97% 20 3.47% 26 2.82% 46 2.71% 43 2.41% 66 1.77% 69 1.70% 17 1.67% 49 1.56% 6 1.53% 40 1.36% 89 1.30% 63 1.07% 92 1.06% 112 1.03% 29 1.02% 72 0.96% 201 0.88% 224 0.88% the 20 most frequent add up to 37.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.3% 1: 30.3% 2: 37.4% ==================== value v = 182 ==================== does not occur at i >= 1000000 ==================== value v = 183 ==================== does not occur at i >= 1000000 ==================== value v = 184 ==================== occurrences: 359145 (frequency 0.36510%) first at i = 1000011, last at i = 99368548 gaps: minimum 3, maximum 5697 (closes at i = 9828621), mean 273.90, std. dev. 391.92 (random occurrences would give mean 273.90, std. dev. 273.40, and P(gap = 1) = 0.37%) fraction of gaps <= k: k=3: 2.9% k=10: 4.5% k=20: 9.7% k=50: 24.3% k=100: 38.0% k=1000: 95.9% most frequent gaps: gap percent 23 3.05% 3 2.86% 20 2.60% 46 2.19% 26 2.17% 43 1.94% 66 1.54% 69 1.50% 49 1.26% 89 1.25% 17 1.19% 6 1.04% 40 1.04% 92 1.01% 112 1.00% 63 0.91% 135 0.86% 224 0.83% 247 0.82% 201 0.81% the 20 most frequent add up to 29.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 31.1% 2: 36.4% ==================== value v = 185 ==================== occurrences: 358928 (frequency 0.36488%) first at i = 1000041, last at i = 99368601 gaps: minimum 3, maximum 6166 (closes at i = 24010340), mean 274.06, std. dev. 391.35 (random occurrences would give mean 274.06, std. dev. 273.56, and P(gap = 1) = 0.36%) fraction of gaps <= k: k=3: 2.9% k=10: 4.6% k=20: 9.8% k=50: 24.5% k=100: 38.1% k=1000: 95.9% most frequent gaps: gap percent 23 2.98% 3 2.88% 20 2.59% 46 2.22% 26 2.21% 43 1.97% 66 1.52% 69 1.50% 49 1.29% 89 1.23% 17 1.18% 40 1.05% 6 1.04% 92 1.04% 112 1.01% 63 0.90% 135 0.86% 72 0.83% 224 0.82% 86 0.82% the 20 most frequent add up to 29.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 31.2% 2: 36.3% ==================== value v = 186 ==================== does not occur at i >= 1000000 ==================== value v = 187 ==================== does not occur at i >= 1000000 ==================== value v = 188 ==================== does not occur at i >= 1000000 ==================== value v = 189 ==================== does not occur at i >= 1000000 ==================== value v = 190 ==================== occurrences: 343005 (frequency 0.34869%) first at i = 1000048, last at i = 99368393 gaps: minimum 3, maximum 5626 (closes at i = 13993313), mean 286.78, std. dev. 401.12 (random occurrences would give mean 286.79, std. dev. 286.29, and P(gap = 1) = 0.35%) fraction of gaps <= k: k=3: 2.9% k=10: 4.4% k=20: 9.5% k=50: 24.0% k=100: 37.0% k=1000: 95.6% most frequent gaps: gap percent 23 3.03% 3 2.86% 20 2.69% 46 2.25% 26 2.25% 43 1.98% 69 1.53% 66 1.51% 49 1.27% 89 1.19% 17 1.14% 6 1.00% 40 0.99% 92 0.99% 112 0.93% 270 0.89% 247 0.89% 224 0.87% 63 0.87% 290 0.84% the 20 most frequent add up to 30.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 31.2% 2: 36.4% ==================== value v = 191 ==================== occurrences: 342882 (frequency 0.34857%) first at i = 1000242, last at i = 99368788 gaps: minimum 3, maximum 5376 (closes at i = 13361059), mean 286.89, std. dev. 399.83 (random occurrences would give mean 286.89, std. dev. 286.39, and P(gap = 1) = 0.35%) fraction of gaps <= k: k=3: 2.9% k=10: 4.4% k=20: 9.4% k=50: 24.1% k=100: 36.9% k=1000: 95.6% most frequent gaps: gap percent 23 3.05% 3 2.89% 20 2.65% 46 2.25% 26 2.22% 43 2.04% 66 1.49% 69 1.49% 49 1.29% 89 1.19% 17 1.13% 6 1.01% 40 1.00% 92 0.97% 112 0.94% 224 0.88% 270 0.86% 290 0.86% 247 0.85% 313 0.83% the 20 most frequent add up to 29.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 31.3% 2: 36.1% ==================== value v = 192 ==================== does not occur at i >= 1000000 ==================== value v = 193 ==================== does not occur at i >= 1000000 ==================== value v = 194 ==================== occurrences: 659657 (frequency 0.67059%) first at i = 1000027, last at i = 99368725 gaps: minimum 3, maximum 4026 (closes at i = 71561564), mean 149.12, std. dev. 213.38 (random occurrences would give mean 149.12, std. dev. 148.62, and P(gap = 1) = 0.67%) fraction of gaps <= k: k=3: 5.3% k=10: 8.3% k=20: 16.4% k=50: 38.3% k=100: 56.1% k=1000: 98.9% most frequent gaps: gap percent 3 5.27% 23 4.70% 20 4.13% 26 3.64% 46 3.06% 43 3.03% 17 2.45% 66 2.25% 6 2.22% 69 2.10% 49 2.05% 40 1.94% 89 1.82% 63 1.63% 92 1.56% 112 1.47% 86 1.42% 29 1.40% 72 1.28% 109 1.27% the 20 most frequent add up to 48.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 29.5% 2: 38.1% ==================== value v = 195 ==================== occurrences: 659312 (frequency 0.67024%) first at i = 1000014, last at i = 99368942 gaps: minimum 3, maximum 4167 (closes at i = 47935715), mean 149.20, std. dev. 213.04 (random occurrences would give mean 149.20, std. dev. 148.70, and P(gap = 1) = 0.67%) fraction of gaps <= k: k=3: 5.3% k=10: 8.3% k=20: 16.5% k=50: 38.3% k=100: 56.2% k=1000: 98.9% most frequent gaps: gap percent 3 5.27% 23 4.66% 20 4.22% 26 3.63% 46 3.06% 43 3.03% 17 2.42% 66 2.31% 6 2.22% 69 2.11% 49 2.04% 40 1.96% 89 1.83% 63 1.63% 92 1.56% 112 1.46% 29 1.45% 86 1.39% 72 1.26% 109 1.26% the 20 most frequent add up to 48.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 29.5% 2: 38.1% ==================== value v = 196 ==================== occurrences: 619821 (frequency 0.63010%) first at i = 1000179, last at i = 99368846 gaps: minimum 3, maximum 4371 (closes at i = 91558862), mean 158.71, std. dev. 215.12 (random occurrences would give mean 158.71, std. dev. 158.20, and P(gap = 1) = 0.63%) fraction of gaps <= k: k=3: 4.9% k=10: 7.8% k=20: 15.6% k=50: 36.5% k=100: 53.6% k=1000: 98.9% most frequent gaps: gap percent 3 4.89% 23 4.45% 20 4.03% 26 3.51% 46 2.94% 43 2.90% 17 2.30% 6 2.14% 66 2.13% 69 1.99% 49 1.98% 40 1.83% 89 1.67% 63 1.51% 92 1.46% 29 1.38% 112 1.36% 86 1.32% 72 1.25% 109 1.18% the 20 most frequent add up to 46.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.2% 1: 29.8% 2: 38.0% ==================== value v = 197 ==================== occurrences: 619689 (frequency 0.62996%) first at i = 1000215, last at i = 99368873 gaps: minimum 3, maximum 4233 (closes at i = 86684178), mean 158.74, std. dev. 216.06 (random occurrences would give mean 158.74, std. dev. 158.24, and P(gap = 1) = 0.63%) fraction of gaps <= k: k=3: 5.0% k=10: 7.9% k=20: 15.6% k=50: 36.5% k=100: 53.5% k=1000: 98.9% most frequent gaps: gap percent 3 4.98% 23 4.45% 20 3.99% 26 3.48% 46 2.92% 43 2.90% 17 2.29% 66 2.16% 6 2.11% 69 2.00% 49 1.98% 40 1.83% 89 1.70% 63 1.53% 92 1.49% 29 1.38% 112 1.36% 86 1.29% 72 1.23% 109 1.18% the 20 most frequent add up to 46.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.3% 1: 29.8% 2: 38.0% ==================== value v = 198 ==================== does not occur at i >= 1000000 ==================== value v = 199 ==================== does not occur at i >= 1000000 ==================== value v = 200 ==================== occurrences: 526667 (frequency 0.53540%) first at i = 1000034, last at i = 99368962 gaps: minimum 3, maximum 4374 (closes at i = 45264222), mean 186.78, std. dev. 242.52 (random occurrences would give mean 186.78, std. dev. 186.28, and P(gap = 1) = 0.54%) fraction of gaps <= k: k=3: 4.0% k=10: 6.4% k=20: 12.9% k=50: 31.3% k=100: 47.7% k=1000: 98.4% most frequent gaps: gap percent 3 4.02% 23 3.83% 20 3.30% 26 3.02% 46 2.66% 43 2.55% 66 1.98% 69 1.91% 17 1.90% 49 1.77% 6 1.72% 89 1.65% 40 1.57% 92 1.46% 63 1.36% 112 1.36% 86 1.25% 29 1.20% 135 1.17% 109 1.17% the 20 most frequent add up to 40.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.3% 1: 30.4% 2: 37.3% ==================== value v = 201 ==================== occurrences: 524651 (frequency 0.53335%) first at i = 1000113, last at i = 99368682 gaps: minimum 3, maximum 4480 (closes at i = 5524605), mean 187.49, std. dev. 245.16 (random occurrences would give mean 187.49, std. dev. 186.99, and P(gap = 1) = 0.53%) fraction of gaps <= k: k=3: 4.0% k=10: 6.4% k=20: 12.8% k=50: 31.3% k=100: 47.7% k=1000: 98.4% most frequent gaps: gap percent 3 4.00% 23 3.81% 20 3.31% 26 3.04% 46 2.67% 43 2.53% 66 2.02% 69 1.89% 17 1.85% 49 1.77% 6 1.71% 89 1.68% 40 1.61% 92 1.46% 63 1.39% 112 1.38% 86 1.25% 29 1.20% 109 1.19% 72 1.19% the 20 most frequent add up to 41.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 30.5% 2: 37.1% ==================== value v = 202 ==================== does not occur at i >= 1000000 ==================== value v = 203 ==================== does not occur at i >= 1000000 ==================== value v = 204 ==================== does not occur at i >= 1000000 ==================== value v = 205 ==================== does not occur at i >= 1000000 ==================== value v = 206 ==================== occurrences: 491086 (frequency 0.49923%) first at i = 1000060, last at i = 99368442 gaps: minimum 3, maximum 4385 (closes at i = 69937662), mean 200.31, std. dev. 248.09 (random occurrences would give mean 200.31, std. dev. 199.81, and P(gap = 1) = 0.50%) fraction of gaps <= k: k=3: 3.7% k=10: 6.0% k=20: 12.1% k=50: 29.6% k=100: 45.0% k=1000: 98.3% most frequent gaps: gap percent 3 3.72% 23 3.61% 20 3.11% 26 2.85% 46 2.51% 43 2.38% 66 1.90% 69 1.82% 49 1.75% 17 1.74% 6 1.63% 89 1.53% 40 1.48% 92 1.31% 112 1.28% 63 1.28% 29 1.18% 72 1.14% 86 1.12% 135 1.10% the 20 most frequent add up to 38.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 30.6% 2: 36.9% ==================== value v = 207 ==================== occurrences: 491698 (frequency 0.49985%) first at i = 1000162, last at i = 99368797 gaps: minimum 3, maximum 4216 (closes at i = 27374306), mean 200.06, std. dev. 248.34 (random occurrences would give mean 200.06, std. dev. 199.56, and P(gap = 1) = 0.50%) fraction of gaps <= k: k=3: 3.7% k=10: 6.0% k=20: 12.1% k=50: 29.7% k=100: 45.0% k=1000: 98.3% most frequent gaps: gap percent 3 3.72% 23 3.67% 20 3.11% 26 2.87% 46 2.52% 43 2.41% 66 1.88% 69 1.78% 17 1.75% 49 1.71% 6 1.63% 89 1.51% 40 1.50% 92 1.35% 112 1.28% 63 1.28% 29 1.17% 72 1.14% 86 1.14% 135 1.07% the 20 most frequent add up to 38.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.3% 1: 30.7% 2: 37.0% ==================== value v = 208 ==================== does not occur at i >= 1000000 ==================== value v = 209 ==================== does not occur at i >= 1000000 ==================== value v = 210 ==================== occurrences: 182767 (frequency 0.18580%) first at i = 1000281, last at i = 99368451 gaps: minimum 3, maximum 6703 (closes at i = 31937828), mean 538.22, std. dev. 624.34 (random occurrences would give mean 538.22, std. dev. 537.72, and P(gap = 1) = 0.19%) fraction of gaps <= k: k=3: 1.5% k=10: 2.4% k=20: 4.9% k=50: 13.0% k=100: 21.2% k=1000: 84.6% most frequent gaps: gap percent 23 1.62% 3 1.51% 20 1.28% 26 1.27% 46 1.17% 43 1.13% 66 0.93% 69 0.92% 92 0.86% 89 0.84% 313 0.80% 49 0.79% 112 0.79% 336 0.76% 135 0.72% 290 0.70% 293 0.69% 17 0.69% 224 0.68% 247 0.68% the 20 most frequent add up to 18.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 32.5% 2: 34.9% ==================== value v = 211 ==================== occurrences: 181750 (frequency 0.18476%) first at i = 1002379, last at i = 99368774 gaps: minimum 3, maximum 7375 (closes at i = 13637664), mean 541.22, std. dev. 626.76 (random occurrences would give mean 541.23, std. dev. 540.73, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.4% k=20: 4.8% k=50: 12.9% k=100: 21.1% k=1000: 84.6% most frequent gaps: gap percent 23 1.58% 3 1.49% 26 1.33% 46 1.26% 20 1.21% 43 1.11% 66 0.99% 69 0.91% 89 0.85% 92 0.82% 112 0.79% 49 0.77% 336 0.75% 313 0.74% 290 0.72% 293 0.71% 17 0.70% 224 0.69% 158 0.68% 270 0.68% the 20 most frequent add up to 18.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.2% 2: 34.9% ==================== value v = 212 ==================== occurrences: 174353 (frequency 0.17724%) first at i = 1000442, last at i = 99366986 gaps: minimum 3, maximum 8834 (closes at i = 18525861), mean 564.18, std. dev. 649.97 (random occurrences would give mean 564.19, std. dev. 563.69, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.4% k=20: 4.8% k=50: 12.6% k=100: 20.6% k=1000: 83.3% most frequent gaps: gap percent 23 1.52% 3 1.46% 26 1.31% 20 1.23% 46 1.15% 43 1.07% 66 0.95% 69 0.90% 89 0.80% 49 0.79% 313 0.77% 290 0.76% 92 0.76% 112 0.74% 336 0.74% 267 0.71% 17 0.67% 293 0.67% 201 0.67% 6 0.66% the 20 most frequent add up to 18.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 32.1% 2: 34.9% ==================== value v = 213 ==================== occurrences: 175136 (frequency 0.17804%) first at i = 1000021, last at i = 99368932 gaps: minimum 3, maximum 7260 (closes at i = 24917173), mean 561.67, std. dev. 647.17 (random occurrences would give mean 561.67, std. dev. 561.17, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.4% k=10: 2.3% k=20: 4.8% k=50: 12.7% k=100: 20.5% k=1000: 83.5% most frequent gaps: gap percent 23 1.56% 3 1.43% 26 1.29% 20 1.24% 46 1.22% 43 1.02% 66 0.90% 69 0.89% 49 0.82% 89 0.79% 313 0.77% 336 0.75% 92 0.74% 290 0.72% 267 0.70% 112 0.70% 17 0.68% 293 0.66% 224 0.66% 6 0.64% the 20 most frequent add up to 18.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 32.4% 2: 34.9% ==================== value v = 214 ==================== does not occur at i >= 1000000 ==================== value v = 215 ==================== does not occur at i >= 1000000 ==================== value v = 216 ==================== occurrences: 180451 (frequency 0.18344%) first at i = 1000205, last at i = 99368840 gaps: minimum 3, maximum 8052 (closes at i = 13201376), mean 545.13, std. dev. 649.15 (random occurrences would give mean 545.13, std. dev. 544.63, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.5% k=20: 5.1% k=50: 13.1% k=100: 21.4% k=1000: 84.5% most frequent gaps: gap percent 23 1.57% 3 1.55% 26 1.29% 20 1.27% 46 1.19% 43 1.08% 66 0.94% 69 0.92% 89 0.85% 49 0.80% 112 0.79% 290 0.75% 92 0.75% 313 0.74% 336 0.72% 135 0.70% 17 0.69% 267 0.68% 247 0.68% 224 0.68% the 20 most frequent add up to 18.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.4% 2: 34.8% ==================== value v = 217 ==================== occurrences: 181467 (frequency 0.18448%) first at i = 1000304, last at i = 99367931 gaps: minimum 3, maximum 7355 (closes at i = 58199679), mean 542.07, std. dev. 642.51 (random occurrences would give mean 542.08, std. dev. 541.58, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.5% k=20: 5.1% k=50: 13.2% k=100: 21.6% k=1000: 84.6% most frequent gaps: gap percent 23 1.58% 3 1.52% 20 1.33% 26 1.30% 46 1.21% 43 1.06% 69 0.91% 66 0.87% 49 0.84% 89 0.82% 112 0.80% 92 0.78% 336 0.75% 313 0.75% 17 0.72% 224 0.69% 290 0.69% 293 0.68% 135 0.67% 6 0.67% the 20 most frequent add up to 18.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.3% 2: 35.0% ==================== value v = 218 ==================== does not occur at i >= 1000000 ==================== value v = 219 ==================== does not occur at i >= 1000000 ==================== value v = 220 ==================== does not occur at i >= 1000000 ==================== value v = 221 ==================== does not occur at i >= 1000000 ==================== value v = 222 ==================== occurrences: 176966 (frequency 0.17990%) first at i = 1000337, last at i = 99368102 gaps: minimum 3, maximum 9422 (closes at i = 70512590), mean 555.86, std. dev. 656.74 (random occurrences would give mean 555.86, std. dev. 555.36, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.5% k=20: 5.1% k=50: 13.1% k=100: 21.4% k=1000: 83.9% most frequent gaps: gap percent 23 1.64% 3 1.47% 20 1.30% 26 1.27% 46 1.14% 43 1.07% 66 0.93% 69 0.90% 49 0.83% 89 0.80% 92 0.75% 313 0.74% 336 0.74% 112 0.72% 290 0.71% 6 0.69% 17 0.68% 224 0.68% 247 0.67% 293 0.66% the 20 most frequent add up to 18.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.2% 2: 34.9% ==================== value v = 223 ==================== occurrences: 175793 (frequency 0.17871%) first at i = 1000120, last at i = 99368293 gaps: minimum 3, maximum 7809 (closes at i = 90704882), mean 559.57, std. dev. 662.85 (random occurrences would give mean 559.57, std. dev. 559.07, and P(gap = 1) = 0.18%) fraction of gaps <= k: k=3: 1.5% k=10: 2.5% k=20: 5.1% k=50: 13.1% k=100: 21.3% k=1000: 83.7% most frequent gaps: gap percent 23 1.56% 3 1.50% 20 1.26% 26 1.25% 46 1.21% 43 1.05% 69 0.93% 66 0.92% 49 0.83% 89 0.78% 313 0.77% 92 0.75% 17 0.72% 336 0.72% 290 0.72% 112 0.71% 6 0.68% 201 0.68% 270 0.66% 293 0.65% the 20 most frequent add up to 18.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.2% 2: 35.0% ==================== value v = 224 ==================== occurrences: 358276 (frequency 0.36422%) first at i = 1000244, last at i = 99368829 gaps: minimum 3, maximum 5043 (closes at i = 61238685), mean 274.56, std. dev. 333.41 (random occurrences would give mean 274.56, std. dev. 274.06, and P(gap = 1) = 0.36%) fraction of gaps <= k: k=3: 2.5% k=10: 3.7% k=20: 7.5% k=50: 21.2% k=100: 34.4% k=1000: 96.3% most frequent gaps: gap percent 23 2.87% 3 2.52% 20 2.23% 46 2.11% 26 1.98% 43 1.93% 66 1.67% 69 1.56% 89 1.51% 112 1.42% 135 1.26% 49 1.23% 92 1.20% 158 1.12% 155 1.07% 109 1.05% 132 1.04% 178 1.01% 86 1.01% 63 0.97% the 20 most frequent add up to 30.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 32.0% 2: 35.5% ==================== value v = 225 ==================== occurrences: 356903 (frequency 0.36282%) first at i = 1000228, last at i = 99366783 gaps: minimum 3, maximum 5266 (closes at i = 19457536), mean 275.61, std. dev. 335.76 (random occurrences would give mean 275.62, std. dev. 275.12, and P(gap = 1) = 0.36%) fraction of gaps <= k: k=3: 2.6% k=10: 3.7% k=20: 7.7% k=50: 21.3% k=100: 34.5% k=1000: 96.3% most frequent gaps: gap percent 23 2.92% 3 2.56% 20 2.29% 46 2.11% 26 1.95% 43 1.93% 66 1.68% 69 1.57% 89 1.53% 112 1.39% 92 1.25% 135 1.23% 49 1.16% 158 1.12% 132 1.03% 155 1.03% 109 1.02% 178 1.01% 86 1.00% 17 0.98% the 20 most frequent add up to 30.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 31.9% 2: 35.6% ==================== value v = 226 ==================== does not occur at i >= 1000000 ==================== value v = 227 ==================== does not occur at i >= 1000000 ==================== value v = 228 ==================== does not occur at i >= 1000000 ==================== value v = 229 ==================== does not occur at i >= 1000000 ==================== value v = 230 ==================== occurrences: 329793 (frequency 0.33526%) first at i = 1000017, last at i = 99367641 gaps: minimum 3, maximum 6100 (closes at i = 80274238), mean 298.27, std. dev. 360.88 (random occurrences would give mean 298.27, std. dev. 297.77, and P(gap = 1) = 0.34%) fraction of gaps <= k: k=3: 2.4% k=10: 3.5% k=20: 7.1% k=50: 20.0% k=100: 32.4% k=1000: 95.5% most frequent gaps: gap percent 23 2.79% 3 2.39% 20 2.11% 46 2.02% 26 1.89% 43 1.76% 66 1.61% 69 1.50% 89 1.43% 112 1.32% 135 1.21% 92 1.16% 49 1.13% 158 1.09% 155 1.01% 132 0.99% 109 0.96% 178 0.96% 181 0.94% 201 0.91% the 20 most frequent add up to 29.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.5% 1: 32.0% 2: 35.6% ==================== value v = 231 ==================== occurrences: 329665 (frequency 0.33513%) first at i = 1000047, last at i = 99368902 gaps: minimum 3, maximum 5752 (closes at i = 40827993), mean 298.39, std. dev. 360.31 (random occurrences would give mean 298.39, std. dev. 297.89, and P(gap = 1) = 0.34%) fraction of gaps <= k: k=3: 2.4% k=10: 3.5% k=20: 7.1% k=50: 20.0% k=100: 32.4% k=1000: 95.5% most frequent gaps: gap percent 23 2.73% 3 2.41% 20 2.12% 46 2.04% 26 1.86% 43 1.84% 66 1.60% 69 1.51% 89 1.46% 112 1.29% 135 1.16% 49 1.16% 92 1.14% 158 1.07% 155 1.01% 178 1.01% 201 0.98% 109 0.97% 132 0.96% 181 0.92% the 20 most frequent add up to 29.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.4% 1: 32.2% 2: 35.4% ==================== value v = 232 ==================== does not occur at i >= 1000000 ==================== value v = 233 ==================== does not occur at i >= 1000000 ==================== value v = 234 ==================== occurrences: 292844 (frequency 0.29770%) first at i = 1000498, last at i = 99368724 gaps: minimum 3, maximum 5909 (closes at i = 9660396), mean 335.91, std. dev. 410.76 (random occurrences would give mean 335.91, std. dev. 335.41, and P(gap = 1) = 0.30%) fraction of gaps <= k: k=3: 2.1% k=10: 3.1% k=20: 6.2% k=50: 17.7% k=100: 29.4% k=1000: 94.1% most frequent gaps: gap percent 23 2.31% 3 2.05% 20 1.79% 46 1.73% 26 1.61% 43 1.58% 66 1.38% 69 1.31% 89 1.28% 112 1.19% 135 1.13% 92 1.07% 158 1.02% 49 1.02% 155 0.98% 178 0.93% 132 0.92% 201 0.89% 109 0.89% 181 0.88% the 20 most frequent add up to 26.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 32.3% 2: 35.1% ==================== value v = 235 ==================== occurrences: 293106 (frequency 0.29797%) first at i = 1002082, last at i = 99368536 gaps: minimum 3, maximum 5918 (closes at i = 27478639), mean 335.60, std. dev. 410.87 (random occurrences would give mean 335.61, std. dev. 335.11, and P(gap = 1) = 0.30%) fraction of gaps <= k: k=3: 2.0% k=10: 3.0% k=20: 6.2% k=50: 17.8% k=100: 29.4% k=1000: 94.1% most frequent gaps: gap percent 23 2.35% 3 2.03% 20 1.83% 46 1.79% 26 1.62% 43 1.60% 66 1.39% 69 1.32% 89 1.30% 112 1.18% 135 1.14% 158 1.03% 92 1.01% 49 1.00% 155 0.97% 132 0.94% 178 0.93% 109 0.91% 201 0.90% 181 0.87% the 20 most frequent add up to 26.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 32.2% 2: 35.1% ==================== value v = 236 ==================== occurrences: 272029 (frequency 0.27654%) first at i = 1000630, last at i = 99368638 gaps: minimum 3, maximum 5534 (closes at i = 76219857), mean 361.61, std. dev. 436.21 (random occurrences would give mean 361.61, std. dev. 361.11, and P(gap = 1) = 0.28%) fraction of gaps <= k: k=3: 1.9% k=10: 2.8% k=20: 5.7% k=50: 16.6% k=100: 27.5% k=1000: 93.1% most frequent gaps: gap percent 23 2.21% 3 1.85% 20 1.70% 46 1.66% 26 1.51% 43 1.50% 66 1.30% 69 1.28% 89 1.21% 112 1.12% 135 1.06% 92 0.99% 49 0.96% 158 0.95% 155 0.90% 178 0.88% 201 0.86% 224 0.85% 132 0.84% 181 0.82% the 20 most frequent add up to 24.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.4% 2: 34.8% ==================== value v = 237 ==================== occurrences: 272309 (frequency 0.27682%) first at i = 1000083, last at i = 99368841 gaps: minimum 3, maximum 6163 (closes at i = 29818497), mean 361.24, std. dev. 437.32 (random occurrences would give mean 361.24, std. dev. 360.74, and P(gap = 1) = 0.28%) fraction of gaps <= k: k=3: 1.9% k=10: 2.8% k=20: 5.8% k=50: 16.8% k=100: 27.7% k=1000: 93.2% most frequent gaps: gap percent 23 2.28% 3 1.89% 20 1.73% 46 1.68% 26 1.55% 43 1.47% 66 1.34% 69 1.23% 89 1.20% 112 1.13% 135 1.08% 92 0.96% 49 0.95% 158 0.93% 155 0.90% 178 0.89% 132 0.86% 201 0.86% 181 0.83% 224 0.81% the 20 most frequent add up to 24.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.2% 2: 34.9% ==================== value v = 238 ==================== does not occur at i >= 1000000 ==================== value v = 239 ==================== does not occur at i >= 1000000 ==================== value v = 240 ==================== occurrences: 164106 (frequency 0.16683%) first at i = 1002269, last at i = 99366419 gaps: minimum 3, maximum 8040 (closes at i = 17948648), mean 599.40, std. dev. 679.44 (random occurrences would give mean 599.42, std. dev. 598.92, and P(gap = 1) = 0.17%) fraction of gaps <= k: k=3: 1.1% k=10: 1.7% k=20: 3.4% k=50: 10.3% k=100: 17.4% k=1000: 82.1% most frequent gaps: gap percent 23 1.41% 3 1.12% 46 1.06% 20 1.01% 26 0.97% 43 0.90% 69 0.83% 66 0.80% 112 0.77% 89 0.77% 158 0.74% 135 0.73% 336 0.72% 313 0.71% 155 0.70% 178 0.69% 290 0.69% 201 0.66% 132 0.64% 92 0.64% the 20 most frequent add up to 16.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.9% 1: 32.8% 2: 34.3% ==================== value v = 241 ==================== occurrences: 164416 (frequency 0.16714%) first at i = 1000330, last at i = 99365829 gaps: minimum 3, maximum 8328 (closes at i = 74604800), mean 598.28, std. dev. 674.84 (random occurrences would give mean 598.29, std. dev. 597.79, and P(gap = 1) = 0.17%) fraction of gaps <= k: k=3: 1.1% k=10: 1.7% k=20: 3.4% k=50: 10.3% k=100: 17.4% k=1000: 82.1% most frequent gaps: gap percent 23 1.42% 3 1.12% 26 1.01% 20 0.98% 46 0.98% 43 0.93% 66 0.80% 135 0.78% 112 0.77% 313 0.76% 69 0.76% 89 0.75% 158 0.73% 336 0.71% 155 0.70% 178 0.68% 290 0.68% 92 0.68% 201 0.65% 181 0.63% the 20 most frequent add up to 16.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 32.6% 2: 34.6% ==================== value v = 242 ==================== does not occur at i >= 1000000 ==================== value v = 243 ==================== does not occur at i >= 1000000 ==================== value v = 244 ==================== does not occur at i >= 1000000 ==================== value v = 245 ==================== does not occur at i >= 1000000 ==================== value v = 246 ==================== occurrences: 160157 (frequency 0.16281%) first at i = 1002134, last at i = 99368437 gaps: minimum 3, maximum 8086 (closes at i = 71775337), mean 614.19, std. dev. 704.12 (random occurrences would give mean 614.20, std. dev. 613.70, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.1% k=10: 1.6% k=20: 3.3% k=50: 10.2% k=100: 17.2% k=1000: 81.6% most frequent gaps: gap percent 23 1.34% 3 1.12% 46 1.03% 20 0.99% 26 0.99% 43 0.90% 66 0.82% 69 0.79% 89 0.76% 112 0.76% 336 0.76% 313 0.74% 135 0.72% 290 0.69% 201 0.67% 158 0.67% 178 0.66% 155 0.62% 293 0.61% 270 0.61% the 20 most frequent add up to 16.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 33.1% 2: 34.1% ==================== value v = 247 ==================== occurrences: 161231 (frequency 0.16390%) first at i = 1000195, last at i = 99366676 gaps: minimum 3, maximum 8876 (closes at i = 36980363), mean 610.10, std. dev. 703.07 (random occurrences would give mean 610.11, std. dev. 609.61, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.1% k=10: 1.6% k=20: 3.3% k=50: 10.2% k=100: 17.3% k=1000: 81.8% most frequent gaps: gap percent 23 1.38% 3 1.09% 46 1.06% 20 1.02% 26 0.99% 43 0.89% 66 0.86% 69 0.82% 89 0.76% 336 0.76% 135 0.74% 158 0.72% 112 0.71% 313 0.71% 155 0.68% 92 0.67% 201 0.67% 224 0.66% 290 0.66% 293 0.64% the 20 most frequent add up to 16.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.8% 2: 34.4% ==================== value v = 248 ==================== does not occur at i >= 1000000 ==================== value v = 249 ==================== does not occur at i >= 1000000 ==================== value v = 250 ==================== occurrences: 156869 (frequency 0.15947%) first at i = 1000689, last at i = 99366831 gaps: minimum 3, maximum 9239 (closes at i = 40121952), mean 627.06, std. dev. 708.80 (random occurrences would give mean 627.08, std. dev. 626.58, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.0% k=10: 1.5% k=20: 3.2% k=50: 9.9% k=100: 16.7% k=1000: 80.8% most frequent gaps: gap percent 23 1.34% 46 1.05% 3 1.03% 20 0.96% 26 0.91% 43 0.88% 69 0.80% 66 0.77% 313 0.75% 135 0.73% 336 0.72% 158 0.70% 112 0.70% 89 0.70% 201 0.66% 290 0.66% 155 0.64% 178 0.63% 92 0.62% 181 0.61% the 20 most frequent add up to 15.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.7% 1: 33.0% 2: 34.3% ==================== value v = 251 ==================== occurrences: 156621 (frequency 0.15922%) first at i = 1001417, last at i = 99368813 gaps: minimum 3, maximum 8041 (closes at i = 1590183), mean 628.06, std. dev. 707.98 (random occurrences would give mean 628.07, std. dev. 627.57, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.0% k=10: 1.5% k=20: 3.1% k=50: 9.6% k=100: 16.6% k=1000: 80.8% most frequent gaps: gap percent 23 1.28% 3 1.01% 46 1.01% 20 0.96% 26 0.90% 43 0.83% 66 0.78% 89 0.74% 69 0.74% 336 0.71% 313 0.71% 135 0.69% 112 0.69% 178 0.68% 155 0.66% 158 0.66% 290 0.65% 92 0.62% 270 0.62% 293 0.61% the 20 most frequent add up to 15.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.8% 2: 34.4% ==================== value v = 252 ==================== occurrences: 153841 (frequency 0.15639%) first at i = 1003976, last at i = 99368958 gaps: minimum 3, maximum 9100 (closes at i = 67310088), mean 639.40, std. dev. 731.71 (random occurrences would give mean 639.42, std. dev. 638.92, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.0% k=10: 1.5% k=20: 3.1% k=50: 9.8% k=100: 16.8% k=1000: 80.3% most frequent gaps: gap percent 23 1.35% 46 1.01% 3 1.00% 20 0.96% 26 0.91% 43 0.83% 66 0.77% 69 0.76% 336 0.75% 89 0.75% 313 0.69% 112 0.68% 135 0.65% 158 0.65% 155 0.64% 178 0.63% 290 0.62% 224 0.61% 92 0.61% 181 0.60% the 20 most frequent add up to 15.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.8% 2: 34.3% ==================== value v = 253 ==================== occurrences: 154033 (frequency 0.15659%) first at i = 1000139, last at i = 99368118 gaps: minimum 3, maximum 9107 (closes at i = 14723751), mean 638.62, std. dev. 730.76 (random occurrences would give mean 638.62, std. dev. 638.12, and P(gap = 1) = 0.16%) fraction of gaps <= k: k=3: 1.1% k=10: 1.6% k=20: 3.1% k=50: 9.8% k=100: 16.7% k=1000: 80.5% most frequent gaps: gap percent 23 1.37% 3 1.06% 46 0.95% 20 0.92% 26 0.92% 43 0.81% 66 0.78% 69 0.76% 89 0.76% 290 0.71% 313 0.71% 336 0.71% 135 0.70% 112 0.69% 158 0.68% 178 0.64% 201 0.63% 270 0.62% 293 0.61% 359 0.60% the 20 most frequent add up to 15.6% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 32.7% 2: 34.3% ==================== value v = 254 ==================== does not occur at i >= 1000000 ==================== value v = 255 ==================== does not occur at i >= 1000000 ==================== value v = 256 ==================== occurrences: 3548869 (frequency 3.60771%) first at i = 1000089, last at i = 99368955 gaps: minimum 3, maximum 517 (closes at i = 92257843), mean 27.72, std. dev. 28.97 (random occurrences would give mean 27.72, std. dev. 27.21, and P(gap = 1) = 3.61%) fraction of gaps <= k: k=3: 19.2% k=10: 30.2% k=20: 54.6% k=50: 86.2% k=100: 96.6% k=1000: 100.0% most frequent gaps: gap percent 3 19.16% 20 11.23% 23 9.62% 17 7.63% 6 6.32% 26 5.33% 43 3.51% 14 3.18% 46 2.80% 40 2.57% 29 1.60% 9 1.58% 66 1.44% 10 1.41% 49 1.35% 63 1.22% 37 1.21% 7 1.06% 69 1.01% 16 0.83% the 20 most frequent add up to 84.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.4% 1: 19.1% 2: 44.5% ==================== value v = 257 ==================== occurrences: 3153881 (frequency 3.20617%) first at i = 1000007, last at i = 99368767 gaps: minimum 3, maximum 1077 (closes at i = 22028091), mean 31.19, std. dev. 40.02 (random occurrences would give mean 31.19, std. dev. 30.69, and P(gap = 1) = 3.21%) fraction of gaps <= k: k=3: 20.5% k=10: 29.5% k=20: 54.4% k=50: 84.8% k=100: 94.1% k=1000: 100.0% most frequent gaps: gap percent 3 20.46% 20 12.04% 23 10.30% 17 8.17% 6 6.72% 26 5.48% 43 3.40% 14 3.29% 46 3.09% 40 2.52% 29 1.74% 9 1.67% 66 1.38% 63 1.23% 37 1.20% 49 1.19% 69 0.93% 11 0.83% 86 0.79% 89 0.77% the 20 most frequent add up to 87.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 36.7% 1: 16.2% 2: 47.1% ==================== value v = 258 ==================== does not occur at i >= 1000000 ==================== value v = 259 ==================== does not occur at i >= 1000000 ==================== value v = 260 ==================== does not occur at i >= 1000000 ==================== value v = 261 ==================== does not occur at i >= 1000000 ==================== value v = 262 ==================== occurrences: 507585 (frequency 0.51600%) first at i = 1000040, last at i = 99368800 gaps: minimum 3, maximum 5890 (closes at i = 38984586), mean 193.80, std. dev. 269.42 (random occurrences would give mean 193.80, std. dev. 193.30, and P(gap = 1) = 0.52%) fraction of gaps <= k: k=3: 3.7% k=10: 7.9% k=20: 13.5% k=50: 32.6% k=100: 49.4% k=1000: 97.8% most frequent gaps: gap percent 26 5.34% 3 3.72% 23 3.16% 20 2.63% 55 2.46% 6 1.61% 46 1.58% 43 1.53% 17 1.35% 29 1.33% 112 1.29% 49 1.10% 86 1.09% 52 0.99% 69 0.97% 109 0.93% 132 0.92% 135 0.91% 66 0.91% 10 0.90% the 20 most frequent add up to 34.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 31.5% 1: 31.3% 2: 37.2% ==================== value v = 263 ==================== occurrences: 471615 (frequency 0.47943%) first at i = 1000452, last at i = 99368899 gaps: minimum 3, maximum 6051 (closes at i = 69908036), mean 208.58, std. dev. 307.91 (random occurrences would give mean 208.58, std. dev. 208.08, and P(gap = 1) = 0.48%) fraction of gaps <= k: k=3: 5.6% k=10: 9.6% k=20: 17.0% k=50: 36.2% k=100: 50.1% k=1000: 97.0% most frequent gaps: gap percent 3 5.64% 26 5.03% 23 4.26% 20 3.63% 55 2.31% 6 2.31% 17 2.05% 46 1.92% 43 1.63% 29 1.57% 109 1.23% 49 1.18% 132 1.10% 66 1.04% 40 1.03% 112 1.03% 135 1.00% 52 0.97% 155 0.93% 89 0.93% the 20 most frequent add up to 40.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 31.8% 1: 29.6% 2: 38.6% ==================== value v = 264 ==================== does not occur at i >= 1000000 ==================== value v = 265 ==================== does not occur at i >= 1000000 ==================== value v = 266 ==================== occurrences: 111645 (frequency 0.11350%) first at i = 1000165, last at i = 99368086 gaps: minimum 3, maximum 18276 (closes at i = 27091390), mean 881.09, std. dev. 1330.88 (random occurrences would give mean 881.09, std. dev. 880.59, and P(gap = 1) = 0.11%) fraction of gaps <= k: k=3: 1.7% k=10: 3.7% k=20: 6.3% k=50: 14.6% k=100: 21.8% k=1000: 74.1% most frequent gaps: gap percent 26 2.09% 3 1.69% 23 1.36% 20 1.09% 6 0.76% 46 0.74% 135 0.61% 43 0.61% 158 0.59% 132 0.59% 112 0.56% 17 0.52% 109 0.52% 178 0.51% 29 0.49% 49 0.48% 10 0.48% 66 0.46% 155 0.46% 181 0.45% the 20 most frequent add up to 15.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.8% 1: 32.7% 2: 34.5% ==================== value v = 267 ==================== occurrences: 89611 (frequency 0.09110%) first at i = 1000023, last at i = 99367792 gaps: minimum 3, maximum 17866 (closes at i = 72126072), mean 1097.73, std. dev. 1667.23 (random occurrences would give mean 1097.73, std. dev. 1097.23, and P(gap = 1) = 0.09%) fraction of gaps <= k: k=3: 1.7% k=10: 3.1% k=20: 5.5% k=50: 14.0% k=100: 20.5% k=1000: 69.9% most frequent gaps: gap percent 26 2.60% 3 1.70% 23 1.47% 20 1.20% 46 0.90% 6 0.72% 43 0.66% 112 0.63% 155 0.62% 66 0.61% 29 0.61% 158 0.61% 135 0.60% 17 0.54% 89 0.54% 178 0.53% 132 0.53% 181 0.50% 92 0.49% 49 0.46% the 20 most frequent add up to 16.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.2% 1: 31.8% 2: 36.0% ==================== value v = 268 ==================== occurrences: 24427 (frequency 0.02483%) first at i = 1002411, last at i = 99366633 gaps: minimum 3, maximum 53167 (closes at i = 58532538), mean 4027.03, std. dev. 5278.13 (random occurrences would give mean 4027.06, std. dev. 4026.56, and P(gap = 1) = 0.02%) fraction of gaps <= k: k=3: 0.6% k=10: 1.2% k=20: 2.2% k=50: 5.6% k=100: 8.7% k=1000: 40.6% most frequent gaps: gap percent 26 0.89% 23 0.63% 3 0.63% 20 0.39% 158 0.31% 46 0.28% 43 0.27% 6 0.27% 313 0.27% 336 0.26% 135 0.25% 17 0.23% 155 0.22% 29 0.21% 290 0.21% 112 0.21% 66 0.20% 448 0.20% 293 0.20% 339 0.20% the 20 most frequent add up to 6.3% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.6% 1: 32.7% 2: 33.7% ==================== value v = 269 ==================== occurrences: 25240 (frequency 0.02566%) first at i = 1000333, last at i = 99367938 gaps: minimum 3, maximum 71366 (closes at i = 48913700), mean 3897.44, std. dev. 5142.25 (random occurrences would give mean 3897.34, std. dev. 3896.84, and P(gap = 1) = 0.03%) fraction of gaps <= k: k=3: 0.7% k=10: 1.4% k=20: 2.4% k=50: 6.1% k=100: 9.3% k=1000: 41.7% most frequent gaps: gap percent 26 1.10% 3 0.69% 23 0.59% 20 0.44% 46 0.34% 132 0.31% 336 0.28% 158 0.28% 49 0.26% 6 0.26% 135 0.26% 43 0.25% 155 0.25% 178 0.25% 313 0.24% 17 0.23% 112 0.23% 181 0.22% 109 0.22% 316 0.22% the 20 most frequent add up to 6.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 33.0% 1: 32.7% 2: 34.3% 1 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 270 ==================== does not occur at i >= 1000000 ==================== value v = 271 ==================== does not occur at i >= 1000000 ==================== value v = 272 ==================== occurrences: 8232 (frequency 0.00837%) first at i = 1001052, last at i = 99349471 gaps: minimum 3, maximum 150951 (closes at i = 67439984), mean 11948.54, std. dev. 12847.79 (random occurrences would give mean 11949.58, std. dev. 11949.08, and P(gap = 1) = 0.01%) fraction of gaps <= k: k=3: 0.2% k=10: 0.3% k=20: 0.5% k=50: 1.7% k=100: 2.5% k=1000: 19.8% most frequent gaps: gap percent 23 0.34% 313 0.30% 290 0.28% 26 0.27% 158 0.27% 316 0.27% 132 0.23% 155 0.23% 336 0.23% 3 0.21% 112 0.21% 181 0.21% 471 0.21% 135 0.19% 178 0.18% 20 0.17% 293 0.17% 474 0.17% 807 0.17% 1097 0.17% the 20 most frequent add up to 4.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 34.4% 1: 32.2% 2: 32.8% 49 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 273 ==================== occurrences: 7869 (frequency 0.00800%) first at i = 1018888, last at i = 99326351 gaps: minimum 3, maximum 133439 (closes at i = 95879032), mean 12494.59, std. dev. 13649.43 (random occurrences would give mean 12500.82, std. dev. 12500.32, and P(gap = 1) = 0.01%) fraction of gaps <= k: k=3: 0.2% k=10: 0.3% k=20: 0.5% k=50: 2.0% k=100: 2.8% k=1000: 19.9% most frequent gaps: gap percent 313 0.46% 23 0.36% 26 0.33% 46 0.31% 471 0.31% 3 0.24% 336 0.24% 359 0.24% 830 0.24% 316 0.22% 649 0.22% 158 0.20% 181 0.20% 155 0.19% 494 0.19% 784 0.19% 178 0.18% 290 0.18% 517 0.18% 1301 0.18% the 20 most frequent add up to 4.8% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 32.1% 1: 33.7% 2: 33.4% 63 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 274 ==================== does not occur at i >= 1000000 ==================== value v = 275 ==================== does not occur at i >= 1000000 ==================== value v = 276 ==================== does not occur at i >= 1000000 ==================== value v = 277 ==================== does not occur at i >= 1000000 ==================== value v = 278 ==================== occurrences: 4228 (frequency 0.00430%) first at i = 1005429, last at i = 99354422 gaps: minimum 3, maximum 242619 (closes at i = 50725441), mean 23266.85, std. dev. 27621.91 (random occurrences would give mean 23266.07, std. dev. 23265.57, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.2% k=10: 0.2% k=20: 0.4% k=50: 1.5% k=100: 2.4% k=1000: 15.6% most frequent gaps: gap percent 26 0.31% 23 0.28% 46 0.19% 3 0.17% 135 0.17% 201 0.17% 471 0.17% 491 0.17% 379 0.14% 468 0.14% 89 0.12% 115 0.12% 198 0.12% 267 0.12% 313 0.12% 362 0.12% 451 0.12% 794 0.12% 919 0.12% 965 0.12% the 20 most frequent add up to 3.1% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 31.3% 1: 30.8% 2: 30.1% 327 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 279 ==================== occurrences: 4089 (frequency 0.00416%) first at i = 1080613, last at i = 99122206 gaps: minimum 3, maximum 240606 (closes at i = 42831097), mean 23982.78, std. dev. 28439.20 (random occurrences would give mean 24056.97, std. dev. 24056.47, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.3% k=10: 0.7% k=20: 0.9% k=50: 2.2% k=100: 3.0% k=1000: 16.6% most frequent gaps: gap percent 3 0.32% 26 0.32% 23 0.29% 20 0.20% 6 0.17% 135 0.17% 138 0.17% 152 0.17% 66 0.15% 155 0.15% 287 0.15% 336 0.15% 468 0.15% 471 0.15% 7 0.12% 43 0.12% 49 0.12% 158 0.12% 161 0.12% 175 0.12% the 20 most frequent add up to 3.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 30.5% 1: 29.5% 2: 31.2% 365 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 280 ==================== does not occur at i >= 1000000 ==================== value v = 281 ==================== does not occur at i >= 1000000 ==================== value v = 282 ==================== occurrences: 4208 (frequency 0.00428%) first at i = 1007582, last at i = 99350472 gaps: minimum 3, maximum 227524 (closes at i = 7429025), mean 23376.01, std. dev. 28494.95 (random occurrences would give mean 23376.65, std. dev. 23376.15, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.2% k=10: 0.4% k=20: 0.7% k=50: 2.0% k=100: 3.3% k=1000: 21.2% most frequent gaps: gap percent 313 0.33% 26 0.31% 23 0.26% 155 0.26% 3 0.24% 158 0.24% 20 0.19% 56 0.19% 316 0.19% 649 0.19% 46 0.17% 69 0.17% 115 0.17% 135 0.17% 201 0.17% 448 0.17% 494 0.17% 517 0.17% 112 0.14% 132 0.14% the 20 most frequent add up to 4.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 31.2% 1: 31.2% 2: 29.3% 346 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 283 ==================== occurrences: 3737 (frequency 0.00380%) first at i = 1007411, last at i = 99349293 gaps: minimum 3, maximum 329617 (closes at i = 50045274), mean 26322.77, std. dev. 30916.87 (random occurrences would give mean 26322.98, std. dev. 26322.48, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.3% k=10: 0.4% k=20: 0.8% k=50: 2.3% k=100: 2.9% k=1000: 16.6% most frequent gaps: gap percent 23 0.46% 26 0.37% 316 0.37% 20 0.29% 3 0.27% 46 0.24% 135 0.21% 178 0.19% 336 0.19% 12441 0.19% 290 0.16% 425 0.16% 11970 0.16% 109 0.13% 155 0.13% 181 0.13% 603 0.13% 649 0.13% 11522 0.13% 11654 0.13% the 20 most frequent add up to 4.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 30.1% 1: 28.7% 2: 31.0% 380 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 284 ==================== occurrences: 1724 (frequency 0.00175%) first at i = 1008435, last at i = 99350484 gaps: minimum 3, maximum 734871 (closes at i = 41344222), mean 57076.06, std. dev. 82532.81 (random occurrences would give mean 57058.56, std. dev. 57058.06, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.5% k=10: 0.5% k=20: 1.5% k=50: 2.8% k=100: 4.4% k=1000: 23.2% most frequent gaps: gap percent 3 0.46% 20 0.41% 17 0.29% 46 0.29% 135 0.29% 23 0.23% 158 0.23% 201 0.23% 26 0.17% 43 0.17% 52 0.17% 72 0.17% 115 0.17% 178 0.17% 286 0.17% 290 0.17% 313 0.17% 359 0.17% 455 0.17% 626 0.17% the 20 most frequent add up to 4.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 23.3% 1: 24.1% 2: 23.3% 505 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 285 ==================== occurrences: 1586 (frequency 0.00161%) first at i = 1008508, last at i = 99191064 gaps: minimum 3, maximum 630173 (closes at i = 41727470), mean 61944.83, std. dev. 86449.06 (random occurrences would give mean 62023.31, std. dev. 62022.81, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.3% k=10: 0.8% k=20: 1.4% k=50: 2.8% k=100: 4.9% k=1000: 23.2% most frequent gaps: gap percent 46 0.44% 66 0.44% 20 0.38% 26 0.38% 3 0.32% 69 0.32% 89 0.32% 135 0.32% 313 0.32% 405 0.32% 504 0.32% 10 0.25% 204 0.25% 290 0.25% 63 0.19% 76 0.19% 115 0.19% 155 0.19% 221 0.19% 310 0.19% the 20 most frequent add up to 5.7% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 23.0% 1: 22.7% 2: 22.8% 499 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 286 ==================== does not occur at i >= 1000000 ==================== value v = 287 ==================== does not occur at i >= 1000000 ==================== value v = 288 ==================== does not occur at i >= 1000000 ==================== value v = 289 ==================== does not occur at i >= 1000000 ==================== value v = 290 ==================== occurrences: 1503 (frequency 0.00153%) first at i = 1008817, last at i = 99131698 gaps: minimum 3, maximum 1090046 (closes at i = 45867766), mean 65328.15, std. dev. 132979.33 (random occurrences would give mean 65448.41, std. dev. 65447.91, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.7% k=10: 2.5% k=20: 4.0% k=50: 10.5% k=100: 15.3% k=1000: 50.4% most frequent gaps: gap percent 23 1.33% 20 0.80% 26 0.80% 3 0.73% 10 0.73% 132 0.73% 66 0.60% 43 0.53% 158 0.53% 30 0.47% 36 0.47% 46 0.47% 165 0.47% 270 0.47% 6 0.40% 16 0.40% 29 0.40% 33 0.40% 49 0.40% 82 0.40% the 20 most frequent add up to 11.5% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 26.3% 1: 24.7% 2: 23.9% 377 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 291 ==================== occurrences: 850 (frequency 0.00086%) first at i = 1025774, last at i = 99083162 gaps: minimum 3, maximum 1463805 (closes at i = 24412267), mean 115497.51, std. dev. 215694.92 (random occurrences would give mean 115728.19, std. dev. 115727.69, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 1.9% k=10: 2.9% k=20: 4.1% k=50: 7.8% k=100: 11.0% k=1000: 42.0% most frequent gaps: gap percent 3 1.88% 20 0.82% 26 0.82% 23 0.71% 6 0.59% 109 0.59% 112 0.59% 155 0.47% 339 0.47% 385 0.47% 10 0.35% 29 0.35% 46 0.35% 50 0.35% 59 0.35% 122 0.35% 135 0.35% 234 0.35% 267 0.35% 316 0.35% the 20 most frequent add up to 11.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 23.7% 1: 19.7% 2: 21.6% 298 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 292 ==================== occurrences: 534 (frequency 0.00054%) first at i = 1274089, last at i = 98900325 gaps: minimum 3, maximum 2667880 (closes at i = 31760845), mean 183163.67, std. dev. 344344.20 (random occurrences would give mean 184211.54, std. dev. 184211.04, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.2% k=10: 0.8% k=20: 1.7% k=50: 3.8% k=100: 7.1% k=1000: 36.6% most frequent gaps: gap percent 79 0.94% 132 0.75% 20 0.56% 122 0.56% 316 0.56% 330 0.56% 461 0.56% 6 0.38% 26 0.38% 56 0.38% 102 0.38% 135 0.38% 155 0.38% 174 0.38% 175 0.38% 217 0.38% 227 0.38% 231 0.38% 264 0.38% 287 0.38% the 20 most frequent add up to 9.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 20.1% 1: 19.3% 2: 20.3% 215 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 293 ==================== occurrences: 287 (frequency 0.00029%) first at i = 1080012, last at i = 99035618 gaps: minimum 3, maximum 3196038 (closes at i = 30810204), mean 342502.12, std. dev. 525079.67 (random occurrences would give mean 342749.00, std. dev. 342748.50, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.3% k=10: 0.7% k=20: 1.4% k=50: 2.1% k=100: 4.2% k=1000: 24.5% most frequent gaps: gap percent 66 0.70% 122 0.70% 158 0.70% 3 0.35% 6 0.35% 14 0.35% 17 0.35% 39 0.35% 50 0.35% 63 0.35% 78 0.35% 83 0.35% 89 0.35% 109 0.35% 115 0.35% 126 0.35% 135 0.35% 155 0.35% 162 0.35% 165 0.35% the 20 most frequent add up to 8.0% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 16.4% 1: 12.2% 2: 16.4% 157 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 294 ==================== does not occur at i >= 1000000 ==================== value v = 295 ==================== does not occur at i >= 1000000 ==================== value v = 296 ==================== occurrences: 129 (frequency 0.00013%) first at i = 1275127, last at i = 98416105 gaps: minimum 45, maximum 6474541 (closes at i = 41097610), mean 758913.89, std. dev. 1190799.42 (random occurrences would give mean 762550.11, std. dev. 762549.61, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 1.6% k=100: 4.7% k=1000: 25.0% most frequent gaps: gap percent 339 1.56% 425 1.56% 45 0.78% 46 0.78% 55 0.78% 69 0.78% 88 0.78% 89 0.78% 112 0.78% 121 0.78% 171 0.78% 180 0.78% 214 0.78% 245 0.78% 253 0.78% 288 0.78% 291 0.78% 326 0.78% 336 0.78% 370 0.78% the 20 most frequent add up to 17.2% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 15.6% 1: 14.1% 2: 12.5% 74 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 297 ==================== occurrences: 69 (frequency 0.00007%) first at i = 3505887, last at i = 92006058 gaps: minimum 40, maximum 8070380 (closes at i = 73927263), mean 1301473.10, std. dev. 1770810.33 (random occurrences would give mean 1425637.16, std. dev. 1425636.66, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 1.5% k=100: 1.5% k=1000: 14.7% most frequent gaps: gap percent 40 1.47% 128 1.47% 138 1.47% 181 1.47% 195 1.47% 323 1.47% 497 1.47% 577 1.47% 596 1.47% 938 1.47% 1123 1.47% 1200 1.47% 1749 1.47% 1982 1.47% 36203 1.47% 37615 1.47% 37647 1.47% 48617 1.47% 48822 1.47% 60338 1.47% the 20 most frequent add up to 29.4% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 8.8% 1: 7.4% 2: 13.2% 48 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 298 ==================== does not occur at i >= 1000000 ==================== value v = 299 ==================== does not occur at i >= 1000000 ==================== value v = 300 ==================== does not occur at i >= 1000000 ==================== value v = 301 ==================== does not occur at i >= 1000000 ==================== value v = 302 ==================== occurrences: 48 (frequency 0.00005%) first at i = 3507023, last at i = 91762684 gaps: minimum 75, maximum 8974844 (closes at i = 91762684), mean 1877780.02, std. dev. 2630325.90 (random occurrences would give mean 2049353.42, std. dev. 2049352.92, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 2.1% k=1000: 23.4% most frequent gaps: gap percent 75 2.13% 124 2.13% 191 2.13% 211 2.13% 224 2.13% 683 2.13% 719 2.13% 779 2.13% 784 2.13% 863 2.13% 896 2.13% 1526 2.13% 2263 2.13% 2540 2.13% 23978 2.13% the 15 most frequent add up to 31.9% of all gaps gcd of the 6 most frequent: 1 (no common step) gap mod 3: 0: 2.1% 1: 8.5% 2: 21.3% 32 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 303 ==================== occurrences: 33 (frequency 0.00003%) first at i = 1274653, last at i = 95212189 gaps: minimum 352, maximum 15794407 (closes at i = 51513827), mean 2935548.00, std. dev. 3555855.35 (random occurrences would give mean 2980877.70, std. dev. 2980877.20, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 9.4% most frequent gaps: gap percent 352 3.13% 562 3.13% 900 3.13% 8508 3.13% 11050 3.13% 61476 3.13% the 6 most frequent add up to 18.8% of all gaps gcd of the 6 most frequent: 2 (there is a common step) gap mod 3: 0: 9.4% 1: 9.4% 2: 0.0% 26 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) ==================== value v = 304 ==================== does not occur at i >= 1000000 ==================== value v = 305 ==================== does not occur at i >= 1000000 ==================== value v = 306 ==================== occurrences: 9 (frequency 0.00001%) first at i = 15015504, last at i = 87842875 gaps: minimum 160, maximum 34956128 (closes at i = 60401501), mean 9103421.38, std. dev. 10839719.53 (random occurrences would give mean 10929884.89, std. dev. 10929884.39, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 12.5% most frequent gaps: gap percent 160 12.50% the 1 most frequent add up to 12.5% of all gaps gap mod 3: 0: 0.0% 1: 12.5% 2: 0.0% 7 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (8 < 30): csv and plot not written ==================== value v = 307 ==================== occurrences: 5 (frequency 0.00001%) first at i = 16192766, last at i = 69641766 gaps: minimum 2426151, maximum 23547791 (closes at i = 42166708), mean 13362250.00, std. dev. 8135587.71 (random occurrences would give mean 19673792.80, std. dev. 19673792.30, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 4 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (4 < 30): csv and plot not written ==================== value v = 308 ==================== occurrences: 10 (frequency 0.00001%) first at i = 3505916, last at i = 91763970 gaps: minimum 1164, maximum 30870360 (closes at i = 59854946), mean 9806450.44, std. dev. 9135440.29 (random occurrences would give mean 9836896.40, std. dev. 9836895.90, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent 1164 11.11% the 1 most frequent add up to 11.1% of all gaps gap mod 3: 0: 11.1% 1: 0.0% 2: 0.0% 8 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (9 < 30): csv and plot not written ==================== value v = 309 ==================== occurrences: 5 (frequency 0.00001%) first at i = 3287251, last at i = 77764684 gaps: minimum 7612573, maximum 30838071 (closes at i = 77764684), mean 18619358.25, std. dev. 10096467.23 (random occurrences would give mean 19673792.80, std. dev. 19673792.30, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 4 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (4 < 30): csv and plot not written ==================== value v = 310 ==================== does not occur at i >= 1000000 ==================== value v = 311 ==================== does not occur at i >= 1000000 ==================== value v = 312 ==================== occurrences: 6 (frequency 0.00001%) first at i = 4901953, last at i = 82278743 gaps: minimum 3098769, maximum 35662666 (closes at i = 51514463), mean 15475358.00, std. dev. 11127871.81 (random occurrences would give mean 16394827.33, std. dev. 16394826.83, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 5 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (5 < 30): csv and plot not written ==================== value v = 313 ==================== occurrences: 7 (frequency 0.00001%) first at i = 10900408, last at i = 82787310 gaps: minimum 1321, maximum 51399087 (closes at i = 79026152), mean 11981150.33, std. dev. 17813211.75 (random occurrences would give mean 14052709.14, std. dev. 14052708.64, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent 1321 16.67% the 1 most frequent add up to 16.7% of all gaps gap mod 3: 0: 0.0% 1: 16.7% 2: 0.0% 5 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (6 < 30): csv and plot not written ==================== value v = 314 ==================== does not occur at i >= 1000000 ==================== value v = 315 ==================== does not occur at i >= 1000000 ==================== value v = 316 ==================== does not occur at i >= 1000000 ==================== value v = 317 ==================== does not occur at i >= 1000000 ==================== value v = 318 ==================== occurrences: 2 (frequency 0.00000%) first at i = 20857012, last at i = 67787657 gaps: minimum 46930645, maximum 46930645 (closes at i = 67787657), mean 46930645.00, std. dev. 0.00 (random occurrences would give mean 49184482.00, std. dev. 49184481.50, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 1 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (1 < 30): csv and plot not written ==================== value v = 319 ==================== occurrences: 2 (frequency 0.00000%) first at i = 1274956, last at i = 15329663 gaps: minimum 14054707, maximum 14054707 (closes at i = 15329663), mean 14054707.00, std. dev. 0.00 (random occurrences would give mean 49184482.00, std. dev. 49184481.50, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 1 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (1 < 30): csv and plot not written ==================== value v = 320 ==================== does not occur at i >= 1000000 ==================== value v = 321 ==================== does not occur at i >= 1000000 ==================== value v = 322 ==================== occurrences: 2 (frequency 0.00000%) first at i = 10900543, last at i = 55693115 gaps: minimum 44792572, maximum 44792572 (closes at i = 55693115), mean 44792572.00, std. dev. 0.00 (random occurrences would give mean 49184482.00, std. dev. 49184481.50, and P(gap = 1) = 0.00%) fraction of gaps <= k: k=3: 0.0% k=10: 0.0% k=20: 0.0% k=50: 0.0% k=100: 0.0% k=1000: 0.0% most frequent gaps: gap percent the 0 most frequent add up to 0.0% of all gaps gap mod 3: 0: 0.0% 1: 0.0% 2: 0.0% 1 gaps >= 65536 (counted only in the mean, deviation and maximum; not in the histogram/plot) few gaps (1 < 30): csv and plot not written ==================== value v = 323 ==================== does not occur at i >= 1000000 ==================== value v = 324 ==================== does not occur at i >= 1000000 ==================== value v = 325 ==================== occurrences: 1 (frequency 0.00000%) first at i = 19739544, last at i = 19739544 only one occurrence: no gaps