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

%I #28 Aug 30 2024 10:17:55

%S 1,2,4,62,80,122,136,658,1918,2998,3404,4042,5678,8378,10438,23530,

%T 24610,29090,41650,120818

%N Numbers k such that k^6*2^k + 1 is a prime.

%C No further terms <= 100000. - _Michael S. Branicky_, Nov 22 2023

%o (Magma) [k: k in [1..1000] | IsPrime(k^6*2^k + 1)];

%Y 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), A366422 (m = 4), A367421 (m = 5), this sequence (m = 6).

%Y Cf. A367478.

%K nonn,more

%O 1,2

%A _Juri-Stepan Gerasimov_, Nov 21 2023

%E a(16)-a(19) from _Michael S. Branicky_, Nov 21 2023

%E a(20) from _Michael S. Branicky_, Aug 30 2024