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

1,2

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

Maple

select(n->isprime(329*2^n+1), [$1..1000]); # Muniru A Asiru, Dec 31 2018

Mathematica

Select[Range[1000], PrimeQ[329*2^# + 1] &] (* Robert Price, Dec 31 2018 *)

Crossrefs

Cf. A002255, A050527.

Sequence in context: A233760 A244780 A024903 * A018486 A261194 A024414

Adjacent sequences: A322954 A322955 A322956 * A322958 A322959 A322960

Keyword

nonn,hard

Author

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

Status

approved