login
Primes of form n^2 + 28561.
14

%I #6 Oct 18 2021 18:47:10

%S 28597,28661,28817,28961,29137,29717,30161,30497,30677,31477,32917,

%T 33461,34337,34961,35617,37397,38561,42017,42961,47057,49297,49877,

%U 51061,55457,60961,62417,64661,66977,70177,70997,72661,74357,75217,76961,78737,86161,93077

%N Primes of form n^2 + 28561.

%C Conjecture: sequence is infinite.

%H Reinhard Zumkeller, <a href="/A256841/b256841.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[300]^2+28561,PrimeQ] (* _Harvey P. Dale_, Oct 18 2021 *)

%o (Haskell)

%o a256841 n = a256841_list !! (n-1)

%o a256841_list = [x | x <- map (+ 28561) 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), A256838 (b=10), A256839 (b=11), A256840 (b=12).

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Apr 11 2015