A331426 Prime numbers p such that p^2 divides 37^(p-1) - 1.

2, 3, 77867, 76407520781

Offset

1,1

Comments

a(4) from Fischer link. - M. F. Hasler, Jan 16 2020

Links

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

Richard Fischer, Fermatquotienten von 2 bis 1052, Dec 19 2019

Wikipedia, Wieferich prime

Mathematica

Select[Range[10^5], PrimeQ[#] && PowerMod[37, # - 1, #^2] == 1 &] (* Amiram Eldar, May 05 2021 *)

Prog

(PARI) forprime(p=2, 1e8, if(Mod(37, p^2)^(p-1)==1, print1(p", ")))

Crossrefs

Wieferich primes to base b: A001220 (b=2), A014127 (b=3), A123692 (b=5), A123693 (b=7), A128667 (b=13), A128668 (b=17), A090968 (b=19), A128669 (b=23), A331424 (b=31), this sequence (b=37), A331427 (b=41).

Cf. A039951.

Sequence in context: A101445 A128668 A216977 * A300191 A328211 A324154

Adjacent sequences: A331423 A331424 A331425 * A331427 A331428 A331429

Keyword

nonn,more

Author

Seiichi Manyama, Jan 16 2020

Status

approved