A297348 - OEIS

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A297348

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

1

0, 2, 7, 11, 36, 164, 216, 302, 311, 455, 738, 1107, 2244, 3326, 4878, 8067, 46466

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Williams primes to base 12.

LINKS

Table of n, a(n) for n=1..17.

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

a(17) from Michael S. Branicky, Nov 12 2024

STATUS

approved