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%I #12 Sep 08 2022 08:45:14
%S 3,5,7,11,13,17,21,23,29,35,39,57,61,65,71,73,81,103,105,113,115,119,
%T 129,153,165,169,171,199,203,205,251,259,267,275,309,313,317,333,337,
%U 339,353,363,403,405,415,419,431,445,449,453,455,463,471,477,479,487
%N Odd n such that (n^4+1)/2 is prime.
%H Zak Seidov, <a href="/A096169/b096169.txt">Table of n, a(n) for n = 1..1000</a>
%e a(1)=3 because (3^4+1)/2=82/2=41 is prime.
%t Select[Range[1,501,2],PrimeQ[(#^4+1)/2]&] (* _Harvey P. Dale_, Jun 04 2011 *)
%o (Magma) [ n: n in [0..2500] | IsPrime((n^4+1) div 2) ]; // _Vincenzo Librandi_, Apr 15 2011
%Y Cf. A000068 n^4+1 is prime, A037896 primes of the form n^4+1, A096170 primes of the form (n^4+1)/2, A096171 n^4+1 is an odd semiprime, A096172 largest prime factor of n^4+1.
%K nonn
%O 1,1
%A _Hugo Pfoertner_, Jun 19 2004
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