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A038970 Primes p such that 83 is not a square mod p. 1
2, 3, 5, 7, 11, 13, 23, 31, 53, 59, 73, 89, 97, 101, 127, 131, 137, 149, 151, 157, 167, 181, 191, 199, 227, 233, 257, 269, 281, 337, 359, 383, 389, 419, 421, 431, 433, 443, 449, 457, 461, 463, 479, 499, 523, 541 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also, only entries p=1 (mod 4) of the sequence are not squares mod 83 (from the quadratic reciprocity law). - Lekraj Beedassy, Jul 21 2004

LINKS

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

MATHEMATICA

Select[Prime@Range[120], JacobiSymbol[83, #] == - 1 &] (* Vincenzo Librandi, Sep 09 2012 *)

PROG

(MAGMA) [2] cat [ p: p in PrimesUpTo(541) | not IsSquare(R! 83) where R:= ResidueClassRing(p) ]; // Vincenzo Librandi, Sep 10 2012

CROSSREFS

Sequence in context: A087634 A291691 A178576 * A079149 A343973 A024694

Adjacent sequences:  A038967 A038968 A038969 * A038971 A038972 A038973

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

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Last modified May 15 16:44 EDT 2021. Contains 343920 sequences. (Running on oeis4.)