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A256836 Primes of form n^2 + 4096. 14

%I

%S 4177,4217,4457,4721,4937,6121,7121,7577,7817,9137,9721,10337,10657,

%T 11321,12377,13121,15121,16417,17321,18257,23417,23977,25121,26297,

%U 31321,34721,36137,36857,38321,40577,44497,47777,50321,52057,52937,54721,57457,81937

%N Primes of form n^2 + 4096.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256836/b256836.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[300]^2+4096,PrimeQ] (* _Harvey P. Dale_, Jun 21 2018 *)

%o (Haskell)

%o a256836 n = a256836_list !! (n-1)

%o a256836_list = [x | x <- map (+ 4096) 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), A256834 (b=6), A256835 (b=7), 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 August 19 07:51 EDT 2018. Contains 313857 sequences. (Running on oeis4.)