A319025 Primes p such that W_p == 2 (mod p), where W_p = A007619(n) and p = prime(n).

19, 1187, 14296621, 16556218163369

Offset

1,1

Comments

These are the members of René Gy's set W_2 (cf. Gy, 2018).

The sequence is complete to 2*10^13, with the higher terms coming from a list of primes with small Wilson quotients in the article by Costa, Gerbicz, and Harvey. - John Blythe Dobson, Jan 05 2021

Links

Table of n, a(n) for n=1..4.

Edgar Costa, Robert Gerbicz, and David Harvey, A search for Wilson primes, Mathematics of Computation 83 (2014) 3071-3091.

R. Gy, Generalized Lerch Primes, Integers: Electronic Journal of Combinatorial Number Theory 18, (2018), #A10.

Prog

(PARI) forprime(p=1, , if(Mod(((p-1)!+1)/p, p)==2, print1(p, ", ")))

Crossrefs

Cf. A007540, A197632.

Sequence in context: A063442 A091750 A316332 * A253127 A078955 A107673

Adjacent sequences: A319022 A319023 A319024 * A319026 A319027 A319028

Keyword

nonn,hard,more

Author

Felix Fröhlich, Sep 08 2018

Status

approved