A367464 Numbers k such that k^5*2^k - 1 is a prime.

2, 6, 9, 18, 42, 132, 139, 482, 523, 524, 859, 909, 948, 979, 1158, 1741, 2364, 3519, 4388, 5952, 6266, 8564, 12169, 14448, 54944, 103526, 116563, 125918

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 18 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), this sequence (m = 5).

Cf. A367421.

Programs

Magma

[k: k in [1..1000] | IsPrime(k^5*2^k-1)];

Mathematica

Select[Range[2500], PrimeQ[#^5*2^# - 1] &] (* Amiram Eldar, Nov 19 2023 *)

Extensions

a(24)-a(25) from Michael S. Branicky, Nov 18 2023

a(26)-a(28) from Michael S. Branicky, Aug 26 2024