A376073 Number of solutions of the congruence y^2 + y == x^3 - x^2 (mod p) as p runs through the primes.

4, 4, 4, 9, 10, 9, 19, 19, 24, 29, 24, 34, 49, 49, 39, 59, 54, 49, 74, 74, 69, 89, 89, 74, 104, 99, 119, 89, 99, 104, 119, 149, 144, 129, 159, 149, 164, 159, 179, 179, 194, 174, 174, 189, 199, 199, 199, 204, 209, 214, 209, 269, 249, 274, 259, 249, 259, 299, 279, 299

Offset: 1

Author

Andrey Zabolotskiy, Sep 08 2024

Keywords

• nonn

Comments

Same as A272196, except for a(1).

References

• Edward Frenkel, Love and math: the heart of hidden reality, Basic Books, 2013. See pages 86-89.

Links

• LMFDB, Elliptic curve with LMFDB label 11.a3.

Crossrefs

Cf. A002070, A006571, A060457, A272196.

Formula

a(n) = prime(n) - A002070(n).

a(n) = A060457(prime(n)).