A355981 Primes in A052924.

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

Offset

1,1

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

Table of n, a(n) for n=1..15.

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

Formula

A000040 INTERSECT A052924.

Mathematica

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

Crossrefs

Cf. A052924.

Sequence in context: A032264 A139522 A163158 * A171130 A112089 A075062

Adjacent sequences: A355978 A355979 A355980 * A355982 A355983 A355984

Keyword

nonn

Author

R. J. Mathar, Jul 22 2022

Extensions

More terms from Jinyuan Wang, Jul 22 2022

Status

approved