login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Bases b for which no primes p with p < b exist such that p is a base-b Wieferich prime.
12

%I #16 Dec 06 2020 00:05:45

%S 2,3,4,6,11,12,14,15,16,20,34,36,39,47,52,56,58,59,66,72,83,84,86,87,

%T 88,90,92,95,96,102,103,104,106,108,111,114,119,123,135,139,140,142,

%U 144,156,159,160,162,167,171,175,180,183,186,187,194,198,200,203,204

%N Bases b for which no primes p with p < b exist such that p is a base-b Wieferich prime.

%C Numbers b such that A255920(b) = 0.

%C Complement of A273786. - _Felix Fröhlich_, Dec 03 2020

%H Felix Fröhlich, <a href="/A255921/b255921.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) is(b) = forprime(p=1, b-1, if(Mod(b, p^2)^(p-1)==1, return(0))); 1

%Y Cf. A255920, A255922, A255923, A255924, A255925, A273786.

%K nonn

%O 1,1

%A _Felix Fröhlich_, Mar 11 2015