A322915 Numbers k such that 301*2^k+1 is prime.

4, 184, 344, 352, 392, 1060, 2452, 7360, 9736, 10324, 21316, 22752, 27272, 27744, 28068, 55628, 72864, 88472, 95872, 124628, 218584, 424448, 517960, 880792, 1455620, 3284232

Offset: 1

Author

Robert Price, Dec 30 2018

Keywords

• nonn
• hard
• more

Links

• 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

Crossrefs

Cf. A002255, A050527.

Programs

Mathematica

Select[Range[1000], PrimeQ[301*2^# + 1] &] (* Robert Price, Dec 30 2018 *)

Extensions

a(26) from Jeppe Stig Nielsen, Dec 20 2024