[seqfan] The congruence 1^{n-1} + 2^{n-1} + ... + (n-1)^{n-1} == phi(n) (mod n)

Tomasz Ordowski tomaszordowski at gmail.com
Fri May 24 15:24:45 CEST 2019

Dear SeqFans,

I have a question:

Are there numbers n > 2 such that
Sum_{k=1..n-1} k^{n-1} == phi(n) (mod n)
that are not odd prime powers?


Best regards,

Thomas Ordowski
Cf. https://oeis.org/A000961
See the penultimate comment.
How to prove this conjecture?

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