A038924 Primes p such that 43 is not a square mod p.

2, 5, 11, 23, 29, 31, 37, 47, 59, 61, 67, 73, 79, 83, 89, 103, 107, 113, 127, 137, 139, 149, 157, 167, 233, 239, 241, 251, 257, 271, 277, 283, 307, 311, 313, 349, 359, 367, 373, 379, 389, 409, 421, 431, 433, 439

Offset

1,1

Comments

Also, only entries p = 1 (mod 4) of the sequence are not squares mod 43 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004

Inert primes in Z[sqrt(43)]. - Alonso del Arte, Apr 17 2018

Links

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

Mathematica

Select[Prime@Range[120], JacobiSymbol[43, #] == -1 &] (* Vincenzo Librandi, Sep 09 2012 *)

Prog

(PARI) select(n->!issquare(Mod(43, n)), primes(100)) \\ Charles R Greathouse IV, Sep 09 2012

Crossrefs

Sequence in context: A009293 A180337 A257130 * A278696 A226843 A057931

Adjacent sequences: A038921 A038922 A038923 * A038925 A038926 A038927

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Offset changed from 0 to 1 by Vincenzo Librandi, Sep 09 2012

Status

approved