A297176 -id:A297176 - cp's OEIS frontend

A038892 Primes p such that 19 is not a square mod p.

2, 7, 11, 13, 23, 29, 37, 41, 43, 47, 53, 83, 89, 97, 109, 113, 131, 139, 163, 173, 181, 191, 193, 199, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 311, 317, 337, 347, 359, 367, 373, 401, 409, 419, 421, 433

Offset: 1

N. J. A. Sloane

nonn

Also, only entries p=1 (mod 4) of the sequence are not squares mod 19 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004

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

Cf. A297176

Select[Prime@Range[120], JacobiSymbol[19, #] == -1 &] (* Vincenzo Librandi, Sep 08 2012 *)

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

A297175 Rational primes that decompose in the field Q(sqrt(19)).

Original entry on oeis.org

3, 5, 17, 31, 59, 61, 67, 71, 73, 79, 101, 103, 107, 127, 137, 149, 151, 157, 167, 179, 197, 211, 223, 227, 229, 233, 277, 307, 313, 331, 349, 353, 379, 383, 389, 397, 431, 439, 457, 461, 487, 523, 541, 547, 557, 563, 577, 593, 599, 607, 613, 617, 653

Offset: 1

N. J. A. Sloane, Dec 26 2017

Robert Price, Table of n, a(n) for n = 1..9950

Cf. A297176, A038891, A038892.

Load the Maple program HH given in A296920. Then run HH(19, 200); This produces A297175, A297176, A038891, A038892.

Select[Prime[Range[2, 120]], KroneckerSymbol[19, #] == 1 &] (* Amiram Eldar, Dec 24 2023 *)

cp's OEIS Frontend

A038892 Primes p such that 19 is not a square mod p.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Extensions