A355981 Primes in A052924.

2, 7, 23, 251, 829, 9043, 29867, 38767343, 422886851, 65315297021063, 924799285908242999, 122759999090351161707303101641950043, 886664361994756976062881640589803447737545663, 2163095322339829235736053464677362677820481059595235042725493776163807, 101154989700155341084064421509561811174544605210604335552565522072629352799

Offset: 1

Author

R. J. Mathar, Jul 22 2022

Keywords

• nonn

Comments

Related to the search of solutions of pair of congruences p^2 == -3 (mod q), q^2 == 3 (mod p).

Cosgrave and Dilcher list indices of these primes (1), 2, 3, 5, 6, 8, 9, 15, 17, ... up to 25000, including probable primes.

Links

• J. B. Cosgrave and K. Dilcher, Pairs of reciprocal quadratic congruences involving primes, Fib. Quart. 51 (2) (2013) 98, after Theorem 5.

Crossrefs

Cf. A052924.

Programs

Mathematica

Select[LinearRecurrence[{3, 1}, {1, 2}, 200], PrimeQ] (* Paolo Xausa, Mar 19 2024 *)

Formula

A000040 INTERSECT A052924.

Extensions

More terms from Jinyuan Wang, Jul 22 2022