A038882 Primes that are not in A038881.

2, 3, 13, 17, 23, 29, 31, 41, 47, 59, 61, 67, 71, 73, 101, 103, 109, 149, 163, 173, 179, 191, 193, 197, 199, 223, 233, 241, 251, 277, 281, 293, 311, 331, 337, 349, 367, 373, 379, 383, 409, 419, 443, 457, 461, 463

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Also, only entries p == 1 (mod 4) of the sequence are not squares mod 11 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004

Except for 2, inert primes in Z[sqrt(11)]. 2 splits as (-1)*(3 - sqrt(11))*(3 + sqrt(11)). Cf. A296936. - Alonso del Arte, Jan 02 2015

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A019339, A038881, A296936.

Programs

Mathematica

Select[Prime@Range[120], JacobiSymbol[11, #] == -1 &] (* Vincenzo Librandi, Sep 08 2012 *)

PARI

isok(p) = isprime(p) && !((p%2) && issquare(Mod(11, p))); \\ Michel Marcus, Jul 04 2023

Extensions

Offset changed from 0 to 1 by Vincenzo Librandi, Sep 08 2012

Definition edited by N. J. A. Sloane, Jul 04 2023