A322951 Numbers k such that 319*2^k+1 is prime.
2, 10, 18, 274, 314, 522, 562, 578, 594, 602, 930, 1074, 23826, 184554, 1923378, 2248914, 2290722, 3069362
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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Maple
select(n->isprime(319*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018
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Mathematica
Select[Range[1000], PrimeQ[319*2^# + 1] &] (* Robert Price, Dec 31 2018 *)
Extensions
a(16)-a(17) from Jeppe Stig Nielsen, Feb 25 2020
a(18) from Jeppe Stig Nielsen, Dec 20 2024