A032406 Numbers k such that 113*2^k+1 is prime.

1, 5, 13, 33, 145, 365, 409, 509, 553, 673, 733, 961, 1045, 1541, 2473, 3461, 5841, 6221, 9961, 10753, 16589, 26573, 68161, 118705, 129845, 160645, 223413, 281769, 667533, 916801, 1157413, 1960341, 2104825

Offset

1,2

Links

Table of n, a(n) for n=1..33.

Ray Ballinger, Proth Search Page

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

Y. Gallot, Proth.exe: Windows Program for Finding Large Primes

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[1000], PrimeQ[113*2^# + 1] & ] (* Robert Price, Dec 17 2018 *)

Prog

(PARI) is(n)=ispseudoprime(113*2^n+1) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A055426 A146621 A147086 * A146917 A283329 A201170

Adjacent sequences: A032403 A032404 A032405 * A032407 A032408 A032409

Keyword

nonn,more

Author

James R. Buddenhagen

Extensions

Extended by Hugo Pfoertner, Jul 02 2003

a(29)-a(32) from the Ray Ballinger and Wilfrid Keller link by_Robert Price_, Dec 17 2018

a(33) from Jeppe Stig Nielsen, May 30 2020

Status

approved