A053362 Numbers k such that 291*2^k + 1 is prime.

4, 12, 16, 20, 24, 39, 40, 65, 77, 95, 240, 256, 303, 376, 416, 596, 760, 1037, 1045, 1553, 2452, 2559, 2596, 2607, 4616, 5703, 8620, 8799, 10180, 12756, 13124, 16620, 17312, 29489, 33576, 51149, 74832, 77560, 106863, 154544, 178223, 319157, 368876, 429460

Offset

1,1

Links

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..51

Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for k < 300

Wilfrid Keller, List of primes k.2^n - 1 for k < 300

Index entries for sequences of n such that k*2^n-1 (or k*2^n+1) is prime

Mathematica

Select[Range[5*10^3], PrimeQ[291*2^# + 1] &] (* G. C. Greubel, May 25 2018 *)

Prog

(PARI) is(n)=ispseudoprime(291*2^n+1) \\ Charles R Greathouse IV, Jun 13 2017
(Magma) [n: n in [1..3000] | IsPrime(291*2^n+1)];  // G. C. Greubel, May 25 2018

Crossrefs

Sequence in context: A259118 A205683 A310564 * A342090 A365889 A310565

Adjacent sequences: A053359 A053360 A053361 * A053363 A053364 A053365

Keyword

hard,nonn

Author

N. J. A. Sloane, Dec 29 1999

Extensions

a(40)-a(49) from the Ray Ballinger and Wilfrid Keller link by Robert Price, Dec 22 2018

Terms moved from Data to b-file, and one term added to b-file, by Jeppe Stig Nielsen, Feb 25 2020

Status

approved