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Primes p such that 83 is not a square mod p.
1

%I #15 Sep 08 2022 08:44:53

%S 2,3,5,7,11,13,23,31,53,59,73,89,97,101,127,131,137,149,151,157,167,

%T 181,191,199,227,233,257,269,281,337,359,383,389,419,421,431,433,443,

%U 449,457,461,463,479,499,523,541

%N Primes p such that 83 is not a square mod p.

%C 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

%H Vincenzo Librandi, <a href="/A038970/b038970.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime@Range[120], JacobiSymbol[83, #] == - 1 &] (* _Vincenzo Librandi_, Sep 09 2012 *)

%o (Magma) [2] cat [ p: p in PrimesUpTo(541) | not IsSquare(R! 83) where R:= ResidueClassRing(p) ]; // _Vincenzo Librandi_, Sep 10 2012

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.

%E Offset changed from 0 to 1 by _Vincenzo Librandi_, Sep 09 2012