A274994 -id:A274994 - cp's OEIS frontend

A280300 Primes such that the Wilson quotient and the Fermat quotient satisfy 2*((p-1)!+1)/p +(2^(p-1)-1)/p == 0 (mod p).

3, 9511, 13691

Offset: 1

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René Gy, Dec 31 2016

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No new term less than 2000000. This sequence is included in A274994 because it can be shown that Sum_{k=1..(p-1)/2} (k^(p-2))*(k^(p-1)-1) == p*((2^(p-1)-1)/p)*(2*((p-1)!+1)/p +(2^(p-1)-1)/p) (mod p^2).

Cf. A274994, A001220, A007619.

cp's OEIS Frontend

A280300 Primes such that the Wilson quotient and the Fermat quotient satisfy 2*((p-1)!+1)/p +(2^(p-1)-1)/p == 0 (mod p).

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