A256838 Primes of form n^2 + 10000.

10009, 10169, 10289, 10529, 10729, 11369, 11681, 12401, 12601, 12809, 13249, 13721, 14489, 15329, 16561, 16889, 17569, 17921, 19801, 20201, 21881, 22769, 23689, 26641, 27689, 29881, 30449, 32801, 33409, 34649, 35281, 37889, 38561, 39241, 39929, 48809, 53681

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), A256839 (b=11), A256840 (b=12), A256841 (b=13).

Programs

Haskell

a256838 n = a256838_list !! (n-1)
a256838_list = [x | x <- map (+ 10000) a000290_list, a010051' x == 1]