A256835 Primes of form n^2 + 2401.

2417, 2437, 2657, 2801, 3301, 3557, 3697, 4001, 4337, 4517, 7877, 10501, 11617, 12401, 13217, 19301, 20357, 20897, 26737, 28001, 29297, 33377, 36997, 38501, 40037, 44017, 48197, 49057, 64901, 70001, 77477, 78577, 86501, 90017, 92401, 104801, 107377, 108677

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), A256836 (b=8), A256837 (b=9), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13).

Programs

Haskell

a256835 n = a256835_list !! (n-1)
a256835_list = [x | x <- map (+ 2401) a000290_list, a010051' x == 1]