A322962 Numbers k such that 339*2^k+1 is prime.

3, 11, 17, 21, 26, 50, 62, 125, 165, 278, 290, 1227, 1275, 1325, 2153, 2450, 2811, 3327, 5921, 6321, 7095, 8657, 8786, 9687, 12221, 14163, 30686, 63975, 73767, 132551, 356991, 364797, 442065, 464483, 559637, 632297, 972755, 1685135, 2408337, 3974295, 4592225

Offset

1,1

Links

Table of n, a(n) for n=1..41.

Ray Ballinger, Proth Search Page

Ray Ballinger and Wilfrid Keller, List of primes k.2^n + 1 for 300 < k < 600

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

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

Eric Weisstein's World of Mathematics, Proth Prime

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

Maple

select(n->isprime(339*2^n+1), [$1..1000]); # Muniru A Asiru, Dec 31 2018

Mathematica

Select[Range[1000], PrimeQ[339*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

Crossrefs

Cf. A002255, A050527.

Sequence in context: A191375 A260793 A057179 * A075334 A056983 A175073

Adjacent sequences: A322959 A322960 A322961 * A322963 A322964 A322965

Keyword

nonn,more,hard

Author

Robert Price, Dec 31 2018

Extensions

a(39) from Jeppe Stig Nielsen, Jan 04 2020

a(40)-a(41) from Jeppe Stig Nielsen, Dec 20 2024

Status

approved