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A037046 Numbers that are not the number of quadratic residues mod n for any n. 3

%I #16 Nov 11 2015 08:51:01

%S 5,13,17,25,26,29,35,39,41,43,47,50,58,59,61,65,67,71,73,78,83,85,86,

%T 89,94,95,101,103,107,109,113,116,118,119,122,123,125,127,130,131,134,

%U 143,145,146,149,155,163,167,170,173,178,179,181,183,185,188,191,193

%N Numbers that are not the number of quadratic residues mod n for any n.

%C Complement of A037041. - _Michel Marcus_, Nov 11 2015

%t s = Length[Union@ #] & /@ Table[Mod[k^2, n], {n, 10000}, {k, 0, n - 1}]; Complement[Range@ Max@ #, #] &@ Take[Union@ s, 136] (* _Michael De Vlieger_, Nov 10 2015 *)

%Y Cf. A000224, A096008, A111986 (number of numbers having n quadratic residues), A111987 (least number having n quadratic residues), A111988 (greatest number having n quadratic residues).

%K nonn

%O 1,1

%A _David W. Wilson_

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)