A322957 Numbers k such that 329*2^k+1 is prime.
1, 3, 5, 9, 11, 15, 27, 55, 87, 105, 111, 163, 225, 311, 487, 537, 723, 735, 771, 1515, 1599, 4685, 5523, 5895, 9723, 20107, 55035, 66355, 108393, 181189, 455645, 604999, 623005, 829207, 1019093, 1246017, 2099771, 2163717, 2266631, 2348105, 2688221, 3002295
Offset: 1
Links
- Jeppe Stig Nielsen, Table of n, a(n) for n = 1..45
- 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(329*2^n+1),[$1..1000]); # Muniru A Asiru, Dec 31 2018
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Mathematica
Select[Range[1000], PrimeQ[329*2^# + 1] &] (* Robert Price, Dec 31 2018 *)
Extensions
a(37)-a(41) from Jeppe Stig Nielsen, Jan 04 2020
a(42) from Jeppe Stig Nielsen, Dec 20 2024