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A191030 Primes that are quadratic residues mod 41.

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%I A191030 #23 Sep 08 2022 08:45:57
%S A191030 2,5,23,31,37,43,59,61,73,83,103,107,113,127,131,139,163,173,197,223,
%T A191030 241,251,269,271,277,283,307,337,349,353,359,367,373,379,389,401,409,
%U A191030 419,431,433,443,449,461,467,487,491,523,541,569,599,607,613,617,619
%N A191030 Primes that are quadratic residues mod 41.
%C A191030 The only difference between A191030 and A038919 is the term A038919(6) = 41. - _Zak Seidov_, May 24 2013
%C A191030 Due to quadratic reciprocity, p is a square (mod 41) iff 41 is a square (mod p). The notion "quadratic residue" excludes here equality / zero, so 41 is not in this sequence but in A038919, because 41 = 41^2 (mod 41). - _M. F. Hasler_, Jan 17 2016
%H A191030 Vincenzo Librandi, <a href="/A191030/b191030.txt">Table of n, a(n) for n = 1..1000</a>
%t A191030 Select[Prime[Range[200]], JacobiSymbol[#,41]==1&]
%o A191030 (Magma) [p: p in PrimesUpTo(619) | JacobiSymbol(p, 41) eq 1]; // _Vincenzo Librandi_, Sep 10 2012
%Y A191030 Cf. A038919. - _Zak Seidov_, May 24 2013
%K A191030 nonn,easy
%O A191030 1,1
%A A191030 _T. D. Noe_, May 24 2011
%E A191030 Definition adjusted by _M. F. Hasler_, Jan 19 2016