A322948 Numbers k such that 313*2^k+1 is prime.
4, 10, 16, 24, 70, 184, 250, 432, 460, 792, 8482, 9868, 10954, 14098, 16260, 17770, 19354, 81504, 85672, 158662, 166354, 188914, 327924, 337942, 424318, 519748, 621432, 888288, 1949544, 3716716, 3837304, 3869536
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(313*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018
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Mathematica
Select[Range[1000], PrimeQ[313*2^# + 1] &] (* Robert Price, Dec 31 2018 *)
Extensions
a(30)-a(32) from Jeppe Stig Nielsen, Dec 20 2024