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%I #7 Sep 18 2018 18:17:12
%S 1297,1321,1657,2137,2521,3697,5521,6337,7537,8521,10321,11497,13177,
%T 15937,16921,18457,23497,24097,25321,34057,35521,40897,43321,45817,
%U 47521,58417,59377,88321,90697,94321,98017,106921,109537,117577,127321,131617,138937
%N Primes of form n^2 + 1296.
%C Conjecture: sequence is infinite.
%H Reinhard Zumkeller, <a href="/A256834/b256834.txt">Table of n, a(n) for n = 1..10000</a>
%t Select[Range[1,401,2]^2+1296,PrimeQ] (* _Harvey P. Dale_, Sep 18 2018 *)
%o (Haskell)
%o a256834 n = a256834_list !! (n-1)
%o a256834_list = [x | x <- map (+ 1296) a000290_list, a010051' x == 1]
%Y Cf. A010051, A000290; subsequence of A028916.
%Y Primes of form n^2+b^4, b fixed: A002496 (b=1), A243451 (b=2), A256775 (b=3), A256776 (b=4), A256777 (b=5), A256835 (b=7), A256836 (b=8), A256837 (b=9), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13).
%K nonn
%O 1,1
%A _Reinhard Zumkeller_, Apr 11 2015
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