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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
3, 9511, 13691 (list; graph; refs; listen; history; text; internal format)
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: A068918 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

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Last modified December 2 23:30 EST 2021. Contains 349445 sequences. (Running on oeis4.)