A028726 Nonsquares mod 13.

2, 5, 6, 7, 8, 11

Offset

1,1

Links

Table of n, a(n) for n=1..6.

Example

Since 2 is not a perfect square and there are no solutions to x^2 = 2 mod 13, 2 is in the sequence.
Although 3 is not a perfect square either, there are solutions to x^2 = 3 mod 13, such as x = 4, x = 9. Hence 3 is not in the sequence.

Mathematica

Select[Range[0, 12], JacobiSymbol[#, 13] == -1 &] (* Alonso del Arte, Dec 13 2019 *)

Prog

(Scala) (0 to 12).diff((1 to 13).map(n => (n * n) % 13)) // Alonso del Arte, Dec 13 2019

Crossrefs

Cf. A010376.

Sequence in context: A028779 A050007 A047579 * A047269 A039027 A129816

Adjacent sequences: A028723 A028724 A028725 * A028727 A028728 A028729

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved