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A212583 Primes p such that p^2 divides 6^(p-1) - 1. 12
66161, 534851, 3152573 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Base 6 Wieferich primes.
Next term > 4.119*10^13. [See Fischer link]
REFERENCES
P. Ribenboim, The New Book of Prime Number Records, Springer-Verlag, 1996, page 347
LINKS
Amir Akbary and Sahar Siavashi, The Largest Known Wieferich Numbers, INTEGERS, 18(2018), A3. See Table p. 5.
François G. Dorais and Dominic Klyve, A Wieferich prime search up to p < 6.7*10^15, J. Integer Seq. 14 (2011), Art. 11.9.2, 1-14.
Wilfrid Keller and Jörg Richstein, Fermat quotients q_p(a) that are divisible by p.
Eric Weisstein, Fermat Quotient, MathWorld
MATHEMATICA
Select[Prime[Range[1000000]], PowerMod[6, # - 1, #^2] == 1 &] (* Robert Price, May 17 2019 *)
PROG
(PARI)
N=10^9; default(primelimit, N);
forprime(n=2, N, if(Mod(6, n^2)^(n-1)==1, print1(n, ", ")));
\\ Joerg Arndt, May 01 2013
CROSSREFS
Sequence in context: A254185 A253797 A241978 * A156424 A092376 A251333
KEYWORD
nonn,hard,bref,more
AUTHOR
Felix Fröhlich, May 22 2012
STATUS
approved

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Last modified July 25 15:49 EDT 2024. Contains 374612 sequences. (Running on oeis4.)