A256841 Primes of form n^2 + 28561.

28597, 28661, 28817, 28961, 29137, 29717, 30161, 30497, 30677, 31477, 32917, 33461, 34337, 34961, 35617, 37397, 38561, 42017, 42961, 47057, 49297, 49877, 51061, 55457, 60961, 62417, 64661, 66977, 70177, 70997, 72661, 74357, 75217, 76961, 78737, 86161, 93077

Offset: 1

Author

Reinhard Zumkeller, Apr 11 2015

Keywords

• nonn

Comments

Conjecture: sequence is infinite.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A010051, A000290; subsequence of A028916.

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).

Programs

Haskell

a256841 n = a256841_list !! (n-1)
a256841_list = [x | x <- map (+ 28561) a000290_list, a010051' x == 1]

Mathematica

Select[Range[300]^2+28561,PrimeQ] (* Harvey P. Dale, Oct 18 2021 *)