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

1,1

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

Mathematica

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

Prog

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

Crossrefs

Cf. A019339, A038881, A296936.

Sequence in context: A048704 A379583 A045340 * A019339 A045341 A236950

Adjacent sequences: A038879 A038880 A038881 * A038883 A038884 A038885

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

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

Status

approved