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Numbers k such that 6k+19 is prime and absolute value of 12k+1 is also prime.
9

%I #11 Mar 03 2019 21:47:00

%S -2,-1,3,8,9,13,15,20,23,29,34,35,48,55,59,63,69,73,78,84,93,100,104,

%T 115,119,134,135,139,148,150,169,174,178,185,189,199,203,210,213,218,

%U 238,254,255,260,265,268,275,280,288,289,293,294,295,308,309,335,344

%N Numbers k such that 6k+19 is prime and absolute value of 12k+1 is also prime.

%H Nathaniel Johnston, <a href="/A145490/b145490.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = (A145480(n-2)-1)/12 for n >= 3.

%p with(numtheory): a:=proc(n) if(isprime(6*n+19) and isprime(abs(12*n+1)))then return n: fi: return NULL: end: seq(a(n),n=-2..350); # _Nathaniel Johnston_, Jul 26 2011

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

%K sign,easy

%O 1,1

%A _Artur Jasinski_, Oct 11 2008

%E Corrected by _Arkadiusz Wesolowski_, Jul 26 2011