A256837 Primes of form n^2 + 6561.

6577, 6661, 6961, 7237, 7717, 8161, 8677, 9697, 10657, 12037, 16561, 17377, 18661, 21937, 24517, 25057, 26161, 33457, 35461, 37537, 56737, 57637, 69061, 74161, 77317, 81637, 84961, 106417, 108961, 124897, 129061, 143461, 146437, 147937, 150961, 155557

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), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13)

Programs

Haskell

a256837 n = a256837_list !! (n-1)
a256837_list = [x | x <- map (+ 6561) a000290_list, a010051' x == 1]