login
Primes p such that 47 is a square mod p.
2

%I #9 Sep 08 2012 02:31:47

%S 2,11,17,19,23,31,37,43,47,53,61,67,89,97,101,107,127,139,149,151,157,

%T 163,167,173,179,197,199,211,223,227,241,269,277,311,337,353,359,367,

%U 397,401,419,443,457,463,467,499

%N Primes p such that 47 is a square mod p.

%C Also, only entries p=1 (mod 4) of the sequence are squares mod 47 (from the quadratic reciprocity law). - _Lekraj Beedassy_, Jul 21 2004

%H Vincenzo Librandi, <a href="/A038927/b038927.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime[Range[100]], ! JacobiSymbol[47, #] == -1 &] (* _Vincenzo Librandi_, Sep 08 2012 *)

%K nonn

%O 1,1

%A _N. J. A. Sloane_.