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 A230809 Primes p of the form 60*n + 59 such that 2*p + 1 is also prime. 3
 179, 239, 359, 419, 659, 719, 1019, 1439, 1499, 1559, 2039, 2339, 2399, 2459, 2699, 2819, 2939, 3299, 3359, 3539, 3779, 4019, 4919, 5039, 5279, 5399, 5639, 6899, 7079, 9059, 9419, 9479, 9539, 10799, 11519, 11579, 11699, 11939, 12119, 12899, 12959, 13619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes p such that 2*p + 1 divides Lucas(p) and Mersenne(p). LINKS Eric Weisstein's World of Mathematics, Lucas Number Eric Weisstein's World of Mathematics, Mersenne Number FORMULA A005384 INTERSECT A142799. A002515 INTERSECT A215850. EXAMPLE 179 is in the sequence since it is prime and 359 is a factor of both Lucas(179) and Mersenne(179) = 2^179 - 1. PROG (MAGMA) [p : p in [59..13619 by 60] | IsPrime(p) and IsPrime(2*p+1)]; (PARI) forstep(p=59, 13619, 60, if(isprime(p)&&isprime(2*p+1), print1(p, ", "))); CROSSREFS Subsequence of A142799, of A215850, and of A239548. Cf. A000032, A001348, A002515. Sequence in context: A226928 A162164 A238893 * A142028 A146359 A142441 Adjacent sequences:  A230806 A230807 A230808 * A230810 A230811 A230812 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Oct 30 2013 STATUS approved

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Last modified October 16 08:50 EDT 2019. Contains 328056 sequences. (Running on oeis4.)