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Primes of form n^2 + 10000.
14

%I #4 Apr 11 2015 17:04:25

%S 10009,10169,10289,10529,10729,11369,11681,12401,12601,12809,13249,

%T 13721,14489,15329,16561,16889,17569,17921,19801,20201,21881,22769,

%U 23689,26641,27689,29881,30449,32801,33409,34649,35281,37889,38561,39241,39929,48809,53681

%N Primes of form n^2 + 10000.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256838/b256838.txt">Table of n, a(n) for n = 1..10000</a>

%o (Haskell)

%o a256838 n = a256838_list !! (n-1)

%o a256838_list = [x | x <- map (+ 10000) 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), A256836 (b=8), A256837 (b=9), A256839 (b=11), A256840 (b=12), A256841 (b=13).

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2015