A174372 Numbers k such that 12*k - 5, 12*k - 1, 12*k + 1, and 12*k + 5 are primes.

1, 9, 19, 26, 91, 119, 124, 156, 224, 399, 436, 471, 569, 691, 1141, 1311, 1339, 1349, 1449, 1619, 1729, 1969, 2009, 2616, 2779, 2961, 3001, 3166, 3369, 3649, 3689, 6641, 6834, 7191, 7401, 7544, 7791, 7924, 8426, 8461, 9214, 9291, 9429, 9431, 9744

Offset: 1

Author

Juri-Stepan Gerasimov, Mar 17 2010

Keywords

• nonn
• easy

Examples

			1 is a term because 1*12-5=7, 1*12-1=11, 1*12+1=13, and 1*12+5=17 are all prime.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A124519.

Programs

Mathematica

Select[Range[10^4], AllTrue[12# + {-5, -1, 1, 5}, PrimeQ] &] (* Amiram Eldar, Dec 17 2019 *)

Extensions

Extended by Charles R Greathouse IV, Mar 18 2010