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A247214
Common prime bases of 1093 and 3511 as generalized Wieferich primes.
3
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
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
Sequence in context: A322145 A301810 A296627 * A367833 A135235 A334022
KEYWORD
nonn
AUTHOR
Max Alekseyev, Nov 25 2014
STATUS
approved