A297348 Numbers k such that 12*13^k - 1 is prime.

0, 2, 7, 11, 36, 164, 216, 302, 311, 455, 738, 1107, 2244, 3326, 4878, 8067

Offset

1,2

Comments

Williams primes to base 12.

Links

Table of n, a(n) for n=1..16.

Steven Harvey, Williams primes

H. C. Williams, The primality of certain integers of the form 2Ar^n - 1, Acta Arith. 39 (1981), 7-17.

Mathematica

Select[Range[0, 10000], PrimeQ[12*13^n-1] &]

Prog

(PARI) for(n=0, 10000, if(isprime(12*13^n-1), print1(n, ", ")))
(Magma) [n: n in [0..10000] |IsPrime(12*13^n-1)]

Crossrefs

Cf. A003307, A272057, A046865, A079906, A046866, A268061, A268356, A056725, A046867, A079907, A273523.

Sequence in context: A026133 A026162 A025189 * A023250 A106013 A175445

Adjacent sequences: A297345 A297346 A297347 * A297349 A297350 A297351

Keyword

nonn,more,hard

Author

Tim Johannes Ohrtmann, Feb 15 2018

Extensions

a(16) from Michael S. Branicky, Sep 14 2022

Status

approved