A276695 P-defects p - N(p) of the congruence y^2 == x^3 - x^2 + 4*x - 4 (mod p) for primes p, where N(p) is the number of solutions given for p = prime(n) by A276664(n).

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

Offset: 1

Author

Seiichi Manyama, Sep 14 2016

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A273163, A276664.

Formula

a(n) = prime(n) - A276664(n), n >= 1, where A276664(n) is the number of solutions to the congruence y^2 == x^3 - x^2 + 4*x - 4 (mod prime(n)).

If prime(n) == 1 (mod 4), a(n) = A273163(n). If prime(n) == 3 (mod 4), a(n) = -A273163(n).