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A237813
Primes p such that 2*p+1 and 2*p+15 are also prime.
5
2, 11, 23, 29, 41, 83, 89, 113, 131, 179, 191, 281, 293, 359, 419, 431, 491, 509, 593, 641, 653, 683, 719, 1019, 1049, 1103, 1229, 1289, 1409, 1451, 1511, 1583, 1601, 1811, 1889, 1931, 2003, 2039, 2069, 2129, 2141, 2273, 2393, 2399, 2459, 2543, 2549, 2699
OFFSET
1,1
LINKS
EXAMPLE
11 is in the sequence because 11, 2*11+1 = 23 and 2*11+15 = 37 are all prime.
MATHEMATICA
Select[Prime[Range[5000]], PrimeQ[2 # + 1] && PrimeQ[2 # + 15] &] (* Vincenzo Librandi, Feb 15 2014 *)
PROG
(PARI) s=[]; forprime(p=2, 10000, if(isprime(2*p+1) && isprime(2*p+15), s=concat(s, p))); s
(Magma) [p: p in PrimesUpTo(4000) | IsPrime(2*p+1) and IsPrime(2*p+15)]; // Vincenzo Librandi, Feb 15 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Colin Barker, Feb 13 2014
STATUS
approved