A256863 Primes that can't be written in form a^2 + b^4.

3, 7, 11, 13, 19, 23, 29, 31, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 103, 107, 109, 113, 127, 131, 139, 149, 151, 157, 163, 167, 173, 179, 191, 193, 199, 211, 223, 227, 229, 233, 239, 251, 263, 269, 271, 283, 293, 307, 311, 313, 317, 331, 347, 349, 353

Offset: 1

Author

Reinhard Zumkeller, Apr 11 2015

Keywords

• nonn

Comments

Complement of A028916;

A256852(A049084(a(n))) = 0.

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A028916, A000290, A000583, A000040, A256852.

Programs

Haskell

a256863 n = a256863_list !! (n-1)
a256863_list = map a000040 $ filter ((== 0) . a256852) [1..]

Mathematica

Reap[Do[If[Reduce[p == a^2 + b^4, {a, b}, Integers] === False, Sow[p]], {p, Prime[Range[80]]}]][[2, 1]] (* Jean-François Alcover, Jan 31 2018 *)