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

1,1

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

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

Crossrefs

Cf. A247208

Sequence in context: A322145 A301810 A296627 * A367833 A135235 A334022

Adjacent sequences: A247211 A247212 A247213 * A247215 A247216 A247217

Keyword

nonn

Author

Max Alekseyev, Nov 25 2014

Status

approved