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A355982
Primes in A004253.
0
19, 2089, 10009, 229771, 1100899, 2779769539, 33629651653051, 161129341280179, 3698955932459041, 406851522918841459, 23583148518971728185859, 720404932310119551295422832411, 4593030255749728350335873388896105689, 6111807570415039356543996013033519421475691
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 2, 5, 6, 8, 9, 14, 20, 21, 23, 26, ... up to 25000 (assuming offset 0 in A004253), 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.
FORMULA
A000040 INTERSECT A004253.
MATHEMATICA
Select[LinearRecurrence[{5, -1}, {1, 4}, 200], PrimeQ] (* Paolo Xausa, Mar 19 2024 *)
CROSSREFS
Cf. A004253.
Sequence in context: A116012 A203704 A087353 * A324424 A178025 A364851
KEYWORD
nonn
AUTHOR
R. J. Mathar, Jul 22 2022
EXTENSIONS
More terms from Jinyuan Wang, Jul 22 2022
STATUS
approved