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Primes in A052924.
1

%I #22 Mar 19 2024 16:15:17

%S 2,7,23,251,829,9043,29867,38767343,422886851,65315297021063,

%T 924799285908242999,122759999090351161707303101641950043,

%U 886664361994756976062881640589803447737545663,2163095322339829235736053464677362677820481059595235042725493776163807,101154989700155341084064421509561811174544605210604335552565522072629352799

%N Primes in A052924.

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

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

%H J. B. Cosgrave and K. Dilcher, <a href="https://fq.math.ca/Papers1/51-2/CosgraveDilcher-1.pdf">Pairs of reciprocal quadratic congruences involving primes</a>, Fib. Quart. 51 (2) (2013) 98, after Theorem 5.

%F A000040 INTERSECT A052924.

%t Select[LinearRecurrence[{3, 1}, {1, 2}, 200], PrimeQ] (* _Paolo Xausa_, Mar 19 2024 *)

%Y Cf. A052924.

%K nonn

%O 1,1

%A _R. J. Mathar_, Jul 22 2022

%E More terms from _Jinyuan Wang_, Jul 22 2022