A089151 Primes p such that 6*p - 7 and 6*p - 5 are twin primes.

2, 3, 11, 13, 19, 31, 41, 53, 59, 71, 73, 101, 139, 173, 193, 239, 269, 271, 313, 349, 353, 379, 433, 449, 521, 563, 613, 643, 683, 823, 829, 881, 941, 1051, 1061, 1093, 1223, 1249, 1259, 1373, 1399, 1439, 1471, 1571, 1621, 1669, 1723, 1811, 1861, 1951, 1973

Offset: 1

Author

Pierre CAMI, Dec 06 2003

Keywords

• easy
• nonn

Examples

			6*19 - 7 = 107, 6*19 - 5 = 109; 107 and 109 are twin primes.
		

Links

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

Crossrefs

Cf. A001097, A001359, A006512, A060212.

Programs

Magma

[p: p in PrimesUpTo(1000000)| IsPrime(6*p-5) and IsPrime(6*p-7)] // Vincenzo Librandi, Nov 16 2010

Mathematica

Select[Range[2, 2000], And @@ PrimeQ[{#, 6#-5, 6#-7}] &] (* Amiram Eldar, Jan 15 2020 *)
Select[Prime[Range[300]],AllTrue[6#-{5,7},PrimeQ]&] (* Harvey P. Dale, Nov 18 2022 *)