A275745 - OEIS

A275745

P-defects p - N(p) of the congruence y^2 + x*y + y == x^3 + x^2 - 10*x - 10 (mod p) for primes p,where N(p) is the number of solutions given for p = prime(n) by A275742(n).

-1, -1, 1, 0, -4, -2, 2, 4, 0, -2, 0, -10, 10, 4, 8, -10, -4, -2, 12, -8, 10, 0, 12, -6, 2, 6, -16, -12, 14, 2, -8, -12, -6, -4, 22, -8, 14, -4, 0, -18, 20, -10, 16, 2, 6, -8, 20, 8, -20, 6, -6, -16, -14, 12, 18, 16, 14, 16, 6, -6, -12, 6, 28, -24, 26, -2, 12, -14, -28, -2, 18, -24, -24

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,5

LINKS

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

FORMULA

a(n) = prime(n) - A275742(n), n >= 1, where A275742(n) is the number of solutions to the congruence y^2 + x*y + y == x^3 + x^2 - 10*x - 10 (mod prime(n)).

CROSSREFS

Cf. A275742.

Sequence in context: A061505 A255708 A197154 * A053879 A216671 A251628

Adjacent sequences: A275742 A275743 A275744 * A275746 A275747 A275748

KEYWORD

sign

AUTHOR

Seiichi Manyama, Sep 10 2016

STATUS

approved