A322946 Numbers k such that 311*2^k+1 is prime.
9, 29, 35, 105, 125, 131, 179, 359, 2735, 28199, 47349, 64485, 1094135, 1171199, 1323071, 2798459, 3037565, 3270759, 3282455
Offset: 1
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
Programs
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Mathematica
Select[Range[1000], PrimeQ[311*2^# + 1] &] (* Robert Price, Dec 31 2018 *)
Extensions
a(16) from Jeppe Stig Nielsen, Dec 27 2019
a(17)-a(20) from Jeppe Stig Nielsen, Dec 20 2024