A367102 Numbers k such that k^4*2^k - 1 is a prime.

3, 29, 43, 83, 133, 209, 271, 329, 415, 727, 2437, 5673, 6879, 7813, 8125, 11931, 29433, 29491, 38397, 91141, 99459, 110935, 127247

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 04 2023

Keywords

• nonn
• more

Crossrefs

Numbers k such that k^m*2^k - 1 is prime: A000043 (m = 0), A002234 (m = 1), A058781 (m = 2), A367037 (m = 3), this sequence (m = 4).

Programs

Magma

[k: k in [1..500] | IsPrime(k^4*2^k-1)];

Mathematica

Select[Range[6000], PrimeQ[#^4*2^# - 1] &] (* Amiram Eldar, Nov 05 2023 *)

Extensions

a(17)-a(18) from Amiram Eldar, Nov 05 2023

a(19) from Michael S. Branicky, Nov 05 2023

a(20)-a(23) from Hugo Pfoertner, Nov 08 2023, Nov 10 2023