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A028759 Nonsquares mod 46. 2

%I #23 Dec 23 2019 00:44:25

%S 5,7,10,11,14,15,17,19,20,21,22,28,30,33,34,37,38,40,42,43,44,45

%N Nonsquares mod 46.

%e Since 11 is not a perfect square and there are no solutions to x^2 = 11 mod 46, 11 is in the sequence.

%e Although 12 is not a perfect square either, there are solutions to x^2 = 12 mod 46, such as x = 14, x = 32. Thus 12 is not in the sequence.

%t Complement[Range[45], PowerMod[Range[46], 2, 46]] (* _Alonso del Arte_, Nov 23 2019 *)

%o (Scala) val squaresMod46 = (1 to 46).map(n => n * n).map(_ % 46)

%o (0 to 45).diff(squaresMod46) // _Alonso del Arte_, Nov 23 2019

%Y Cf. A028736 (subset), A010407.

%K nonn,fini,full,easy

%O 1,1

%A _N. J. A. Sloane_

%E Incorrect term 23 removed by _Alonso del Arte_, Dec 01 2019

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