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Numbers k such that 4^k + k^4 + 1 is prime.
3

%I #15 Jul 12 2018 11:26:04

%S 0,6,12,3804,8346,15528,147036

%N Numbers k such that 4^k + k^4 + 1 is prime.

%C a(8) > 2*10^5. - _Robert Price_, Apr 29 2014

%C a(1)-a(3) are trivially prime. a(4)-a(7) are probable primes. - _Robert Price_, May 07 2014

%t Select[Range[0, 5000], PrimeQ[4^# + #^4 + 1] &]

%o (PARI) is(n)=ispseudoprime(4^n+n^4+1) \\ _Charles R Greathouse IV_, Jun 06 2017

%Y Cf. A100357, A215434-A215446, A216375.

%K nonn

%O 1,2

%A _Vincenzo Librandi_, Sep 07 2012

%E a(5)-a(7) from _Robert Price_, Apr 29 2014