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Numbers k such that 6k + 11 is prime and 12k + 5 is also prime.
1

%I #16 Jan 25 2017 20:06:40

%S 0,1,2,3,7,8,12,16,21,23,26,37,38,42,43,47,51,56,58,63,68,73,78,91,92,

%T 98,101,106,107,108,133,136,141,142,156,157,162,173,192,196,201,203,

%U 212,218,227,233,236,238,246,247,257,267,268,271,287,296,306,313,316,323,327,332,346,353,357,366,367,371,376,387,401,406,411,423,441,442,448,453,471,472,478,483,488,491,498

%N Numbers k such that 6k + 11 is prime and 12k + 5 is also prime.

%H Ivan Neretin, <a href="/A145489/b145489.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = (A145475(n) - 5)/12.

%t Select[Range[0,500], PrimeQ[6# + 11 ] && PrimeQ[12# + 5]&]

%o (PARI) isok(n) = isprime(6*n+11) && isprime(12*n+5); \\ _Michel Marcus_, Jan 24 2017

%Y Cf. A063908-A063913, A092109, A145471-A145490.

%K nonn

%O 1,3

%A _Artur Jasinski_, Oct 11 2008

%E Corrected by _Artur Jasinski_, Apr 01 2011