A191063 - OEIS

A191063

Primes that are not squares mod 19.

2, 3, 13, 29, 31, 37, 41, 53, 59, 67, 71, 79, 89, 97, 103, 107, 109, 113, 127, 151, 167, 173, 179, 181, 193, 211, 223, 227, 241, 257, 269, 281, 293, 307, 317, 331, 337, 373, 379, 383, 401, 409, 421, 431, 433, 439, 449, 487, 509, 521, 523, 547, 563, 569, 599

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OFFSET

1,1

COMMENTS

Inert rational primes in the field Q(sqrt(-19)). - N. J. A. Sloane, Dec 25 2017 [Corrected by Jianing Song, Dec 24 2018]

Primes p such that p^9 == -1 (mod 19). Primes congruent to {2, 3, 8, 10, 12, 13, 14, 15, 18} modulo 19. - Jianing Song, Dec 24 2018

LINKS

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

Index to sequences related to decomposition of primes in quadratic fields

MATHEMATICA

Select[Prime[Range[200]], JacobiSymbol[#, 19]==-1&]

PROG

(Magma) [p: p in PrimesUpTo(599) | JacobiSymbol(p, 19) eq -1]; // Vincenzo Librandi, Sep 11 2012

(PARI) isok(p) = isprime(p) && !issquare(Mod(p, 19)); \\ Michel Marcus, Dec 25 2018

CROSSREFS

Sequence in context: A286458 A087906 A029737 * A105891 A228991 A141585

Adjacent sequences: A191060 A191061 A191062 * A191064 A191065 A191066

KEYWORD

nonn,easy

AUTHOR

T. D. Noe, May 25 2011

STATUS

approved