A216285 Primes which cannot be written as x^4+y^4.

3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397

Offset: 1

Author

V. Raman, Sep 03 2012

Keywords

• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002645, A002144.

Programs

PARI

T=thueinit('x^4+1,1);
is(n)=#thue(T,n)==0&&isprime(n) \\ Charles R Greathouse IV, Dec 18 2014

Formula

a(n) ~ n log n. - Charles R Greathouse IV, Dec 18 2014