A376073 - OEIS

%I #5 Sep 09 2024 09:35:49

%S 4,4,4,9,10,9,19,19,24,29,24,34,49,49,39,59,54,49,74,74,69,89,89,74,

%T 104,99,119,89,99,104,119,149,144,129,159,149,164,159,179,179,194,174,

%U 174,189,199,199,199,204,209,214,209,269,249,274,259,249,259,299,279,299

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

%C Same as A272196, except for a(1).

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

%H LMFDB, <a href="https://www.lmfdb.org/EllipticCurve/Q/11/a/3">Elliptic curve with LMFDB label 11.a3</a>.

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

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

%Y Cf. A002070, A006571, A060457, A272196.

%K nonn

%O 1,1

%A _Andrey Zabolotskiy_, Sep 08 2024