A367478 Numbers k such that k^6*2^k - 1 is a prime.

37, 43, 167, 217, 239, 349, 581, 1297, 5183, 9119, 10589, 15205, 18745, 25687, 26609, 33667, 35663, 73603, 82501, 89269

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 19 2023

Keywords

• nonn
• more

Crossrefs

Numbers k such that k^m*2^k - 1 is a prime: A000043 (m = 0), A002234 (m = 1), A058781 (m = 2), A367037 (m = 3), A367102 (m = 4), A367464 (m = 5), this sequence (m = 6).

Programs

Magma

[k: k in [1..1000] | IsPrime(k^6*2^k-1)];

Mathematica

Select[Range[6000], PrimeQ[#^6*2^# - 1] &] (* Amiram Eldar, Nov 19 2023 *)

Extensions

a(12) inserted by and a(14)-a(17) from Michael S. Branicky, Nov 19 2023

a(18)-a(20) from Michael S. Branicky, Nov 21 2023