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

1,1

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

Mathematica

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

Prog

(PARI) forprime(p=2, 1000, if(kronecker(11, p)==+1, print1(p, ", "))) /* Joerg Arndt, Apr 24 2011 */
(Magma) [p: p in PrimesInInterval(3, 577) | not JacobiSymbol(11, p) eq -1]; // Bruno Berselli, Sep 10 2012

Crossrefs

Cf. A038882.

Sequence in context: A349821 A349820 A227770 * A190359 A045441 A128841

Adjacent sequences: A038878 A038879 A038880 * A038882 A038883 A038884

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

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

Status

approved