A256834 Primes of form n^2 + 1296.

1297, 1321, 1657, 2137, 2521, 3697, 5521, 6337, 7537, 8521, 10321, 11497, 13177, 15937, 16921, 18457, 23497, 24097, 25321, 34057, 35521, 40897, 43321, 45817, 47521, 58417, 59377, 88321, 90697, 94321, 98017, 106921, 109537, 117577, 127321, 131617, 138937

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), A256835 (b=7), A256836 (b=8), A256837 (b=9), A256838 (b=10), A256839 (b=11), A256840 (b=12), A256841 (b=13).

Programs

Haskell

a256834 n = a256834_list !! (n-1)
a256834_list = [x | x <- map (+ 1296) a000290_list, a010051' x == 1]

Mathematica

Select[Range[1,401,2]^2+1296,PrimeQ] (* Harvey P. Dale, Sep 18 2018 *)