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A301524 Numbers k such that 16*k^k - 1 is prime. 1

%I #15 Mar 25 2018 09:43:31

%S 3,5,15,27

%N Numbers k such that 16*k^k - 1 is prime.

%C All terms are odd since 16*(2*m)^(2*m) - 1 = (2^(m+2)*m^m - 1)*(2^(m+2)*m^m + 1). - _Altug Alkan_, Mar 23 2018

%C Next term, if it exists, is greater than 5000. - _Vaclav Kotesovec_, Mar 25 2018

%t Select[Range[1000], PrimeQ[16*#^# - 1] &] (* _Vaclav Kotesovec_, Mar 25 2018 *)

%o (PARI) for(n=0, 1000, if(isprime(16*n^n-1), print1(n", ")))

%Y Cf. A110931, A301522.

%K nonn,more

%O 1,1

%A _Seiichi Manyama_, Mar 23 2018

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Last modified April 25 09:18 EDT 2024. Contains 371967 sequences. (Running on oeis4.)