A038881 Odd primes p such that 11 is a square mod p.

5, 7, 11, 19, 37, 43, 53, 79, 83, 89, 97, 107, 113, 127, 131, 137, 139, 151, 157, 167, 181, 211, 227, 229, 239, 257, 263, 269, 271, 283, 307, 313, 317, 347, 353, 359, 389, 397, 401, 421, 431, 433, 439, 449, 479, 491, 503, 509, 521, 523, 547, 563, 571, 577

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Also, only entries p=1 (mod 4) of the sequence are squares mod 11 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A038882.

Programs

Magma

[p: p in PrimesInInterval(3,577) | not JacobiSymbol(11,p) eq -1]; // Bruno Berselli, Sep 10 2012

Mathematica

Select[Prime[Range[120]],! JacobiSymbol[11, #]== -1 &] (* Vincenzo Librandi, Sep 10 2012 *)

PARI

forprime(p=2,1000,if(kronecker(11,p)==+1,print1(p,", "))) /* Joerg Arndt, Apr 24 2011 */

Extensions

Added "odd" to definition (otherwise 2 would be a term). - N. J. A. Sloane, Jul 04 2023