A247214 Common prime bases of 1093 and 3511 as generalized Wieferich primes.

2, 31995179, 164785447, 316880647, 339916651, 360930071, 378400069, 417340783, 520750033, 658458037, 755787181, 786882449, 848389303, 873370961, 899228951, 945287471, 951718213, 1007089619, 1011319249, 1029754933, 1322303371, 1396138687, 1469853361, 1513858729, 1572717287, 1642086109, 1705284811, 1829330071

Offset: 1

Author

Max Alekseyev, Nov 25 2014

Keywords

• nonn

Comments

Primes p such that p^1092 == 1 (mod 1093^2) and p^3510 == 1 (mod 3511^2). Here 1093 and 3511 are the currently known Wieferich primes (A001220) and thus p=2 belongs to this sequence by definition.

Prime terms of A247208.

Links

• Robert Israel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A247208

Programs

Maple

S1:= sort(map(rhs@op, [msolve(p^1092=1,1093^2)])):
S2:= map(rhs@op, {msolve(p^3510=1,3511^2)}):
Res:= NULL:
for k from 0 to 2000 do
  for j in S1 do
    p:= 1093^2*k+j;
    if member(p mod 3511^2, S2) and isprime(p) then
      Res:= Res, p;
    fi
od od:
Res; # Robert Israel, Mar 13 2018