A256839 Primes of form n^2 + 14641.

14657, 14741, 14897, 15217, 15541, 15797, 15937, 19541, 20117, 22037, 22741, 23857, 25457, 28097, 30517, 31541, 38977, 40241, 42197, 43541, 44917, 47041, 48497, 50741, 57077, 58741, 61297, 64817, 65717, 74177, 77141, 80177, 82241, 87541, 107057, 117041

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

Programs

Haskell

a256839 n = a256839_list !! (n-1)
a256839_list = [x | x <- map (+ 14641) a000290_list, a010051' x == 1]

Mathematica

Select[Range[500]^2+14641,PrimeQ] (* Harvey P. Dale, Mar 20 2017 *)