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

1,1

Comments

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).

Links

Table of n, a(n) for n=1..3.

Crossrefs

Cf. A274994, A001220, A007619.

Sequence in context: A362124 A158036 A242865 * A171363 A280655 A262651

Adjacent sequences: A280297 A280298 A280299 * A280301 A280302 A280303

Keyword

nonn,bref,more

Author

René Gy, Dec 31 2016

Status

approved