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A038988 Primes p such that 97 is not a square mod p. 1

%I #10 Sep 08 2022 08:44:53

%S 5,7,13,17,19,23,29,37,41,59,67,71,83,107,127,131,137,139,149,157,173,

%T 179,181,199,211,223,233,239,251,257,263,271,277,281,311,317,331,337,

%U 347,349,359,367,373,383,401,409

%N Primes p such that 97 is not a square mod p.

%C Also, primes p that are not squares mod 97 (from the quadratic reciprocity law). - _Lekraj Beedassy_, Jul 13 2004

%H Vincenzo Librandi, <a href="/A038988/b038988.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[120]], JacobiSymbol[97, #]==-1 &] (* _Vincenzo Librandi_, Sep 10 2012 *)

%o (Magma) [p: p in PrimesUpTo(409) | not IsSquare(R! 97) 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 10 2012

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Last modified April 24 07:22 EDT 2024. Contains 371922 sequences. (Running on oeis4.)