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A256834 Primes of form n^2 + 1296. 14

%I

%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>

%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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Last modified January 17 16:43 EST 2018. Contains 297822 sequences.