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 A239548 Primes p such that gcd(Lucas(p), Mersenne(p)) > 1. 1
 2, 179, 239, 359, 419, 487, 659, 719, 883, 1013, 1019, 1439, 1459, 1499, 1559, 1723, 1871, 1993, 2039, 2339, 2399, 2459, 2593, 2699, 2819, 2939, 3041, 3299, 3329, 3359, 3539, 3779, 4019, 4813, 4919, 4957, 5039, 5231, 5261, 5279, 5399, 5639, 6011, 6353, 6373 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Lucas Number Eric Weisstein's World of Mathematics, Mersenne Number EXAMPLE 239 is in the sequence since it is prime and 479 is a prime factor of both Lucas(239) and Mersenne(239) = 2^239 - 1. PROG (MAGMA) [p: p in PrimesUpTo(6500) | Gcd(Lucas(p), 2^p-1) gt 1]; (PARI) for(p=2, 6373, if(isprime(p)&&gcd(fibonacci(p-1)+fibonacci(p+1), 2^p-1)>1, print1(p, ", "))); CROSSREFS Supersequence of A230809. Cf. A000032, A001348. Sequence in context: A103427 A216355 A139942 * A272237 A094221 A324442 Adjacent sequences:  A239545 A239546 A239547 * A239549 A239550 A239551 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Mar 21 2014 STATUS approved

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Last modified December 7 20:33 EST 2019. Contains 329849 sequences. (Running on oeis4.)