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 A247214 Common prime bases of 1093 and 3511 as generalized Wieferich primes. 3

%I #11 Mar 14 2018 03:54:28

%S 2,31995179,164785447,316880647,339916651,360930071,378400069,

%T 417340783,520750033,658458037,755787181,786882449,848389303,

%U 873370961,899228951,945287471,951718213,1007089619,1011319249,1029754933,1322303371,1396138687,1469853361,1513858729,1572717287,1642086109,1705284811,1829330071

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

%C 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.

%C Prime terms of A247208.

%H Robert Israel, <a href="/A247214/b247214.txt">Table of n, a(n) for n = 1..1000</a>

%p S1:= sort(map(rhs@op, [msolve(p^1092=1,1093^2)])):

%p S2:= map(rhs@op, {msolve(p^3510=1,3511^2)}):

%p Res:= NULL:

%p for k from 0 to 2000 do

%p for j in S1 do

%p p:= 1093^2*k+j;

%p if member(p mod 3511^2, S2) and isprime(p) then

%p Res:= Res, p;

%p fi

%p od od:

%p Res; # _Robert Israel_, Mar 13 2018

%Y Cf. A247208

%K nonn

%O 1,1

%A _Max Alekseyev_, Nov 25 2014

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Last modified August 4 15:45 EDT 2024. Contains 374923 sequences. (Running on oeis4.)