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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). 1

%I #14 Dec 31 2016 06:49:55

%S 3,9511,13691

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

%C 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).

%Y Cf. A274994, A001220, A007619.

%K nonn,bref,more

%O 1,1

%A _René Gy_, Dec 31 2016

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)