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%I #19 Sep 08 2022 08:46:06
%S 179,239,359,419,659,719,1019,1439,1499,1559,2039,2339,2399,2459,2699,
%T 2819,2939,3299,3359,3539,3779,4019,4919,5039,5279,5399,5639,6899,
%U 7079,9059,9419,9479,9539,10799,11519,11579,11699,11939,12119,12899,12959,13619
%N Primes p of the form 60*n + 59 such that 2*p + 1 is also prime.
%C Primes p such that 2*p + 1 divides Lucas(p) and Mersenne(p).
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LucasNumber.html">Lucas Number</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MersenneNumber.html">Mersenne Number</a>
%F A005384 INTERSECT A142799.
%F A002515 INTERSECT A215850.
%e 179 is in the sequence since it is prime and 359 is a factor of both Lucas(179) and Mersenne(179) = 2^179 - 1.
%o (Magma) [p : p in [59..13619 by 60] | IsPrime(p) and IsPrime(2*p+1)];
%o (PARI) forstep(p=59, 13619, 60, if(isprime(p)&&isprime(2*p+1), print1(p, ", ")));
%Y Subsequence of A142799, of A215850, and of A239548. Cf. A000032, A001348, A002515.
%K nonn
%O 1,1
%A _Arkadiusz Wesolowski_, Oct 30 2013