A276193 P-defects p - N(p) of the congruence y^2 + x*y + y == x^3 + 4*x - 6 (mod p) for primes p, where N(p) is the number of solutions given for p = prime(n) by A276173(n).

-1, -2, 0, 1, 0, -4, 6, 2, 0, -6, -4, 2, 6, 8, -12, 6, -6, 8, -4, 0, 2, 8, -6, -6, -10, 0, -4, 12, 2, 6, -16, 18, 18, 14, -18, 8, -4, -16, -12, -12, -12, 20, 24, 14, -18, 20, -4, 8, 18, -4, -6, 24, -10, -18, 18, 0, -12, -16, -10, -6, -22, 24, 2, -24, -10, 6, 8, 14, -24, -28, 18, -24, 8, 14, -16, 36, 18, 20, -18, 14, 6, -10, 24, -34, 8, -12, 18, -10, 12, 32, -6, -36, -16, -12, -4, 0

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..1000

Formula

a(n) = prime(n) - A276173(n), n >= 1, where A276173(n) is the number of solutions to the congruence y^2 + x*y + y == x^3 + 4*x - 6 (mod prime(n)).

Crossrefs

Cf. A276173.

Sequence in context: A362834 A362839 A362837 * A357400 A238618 A132277

Adjacent sequences: A276190 A276191 A276192 * A276194 A276195 A276196

Keyword

sign

Author

Seiichi Manyama, Sep 10 2016

Status

approved