A366422 Numbers k such that k^4*2^k + 1 is a prime.

1, 24, 33, 36, 99, 195, 244, 464, 567, 621, 741, 1395, 2164, 3309, 3537, 3708, 4413, 5001, 5187, 5292, 15504, 18816, 19521, 24657, 27972, 57687

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 16 2023

Keywords

• nonn
• more

Comments

No further terms <= 100000. - Michael S. Branicky, Nov 17 2023

Crossrefs

Numbers k such that k^m*2^k + 1 is a prime: 0, 1, 2, 4, 8, 16, .. (m = 0), A005849 (m = 1), A058780 (m = 2), A357612 (m = 3), this sequence (m = 4).

Cf. A092506, A367102.

Programs

Magma

[k: k in [0..4000] | IsPrime(k^4*2^k+1)];

Mathematica

Select[Range[6000], PrimeQ[#^4*2^# + 1] &] (* Amiram Eldar, Nov 16 2023 *)

Extensions

a(22)-a(25) from Amiram Eldar, Nov 17 2023

a(26) from Michael S. Branicky, Nov 17 2023