A113169 Primes p such that 13*p + 2 is also prime.

3, 5, 17, 29, 47, 53, 59, 113, 137, 173, 227, 239, 257, 269, 347, 353, 389, 419, 449, 467, 479, 509, 557, 563, 599, 677, 719, 743, 827, 839, 953, 977, 983, 1013, 1019, 1103, 1109, 1163, 1193, 1217, 1223, 1259, 1277, 1289, 1307, 1373, 1427, 1487

Offset: 1

Author

Parthasarathy Nambi, Jan 06 2006

Keywords

• nonn

Comments

Except for 3, all terms == 5 (mod 6). - Robert Israel, Sep 06 2018

Examples

			If p=173 then 13*p + 2 = 2251 (prime).
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Chris Caldwell The First 1000 Primes.

Crossrefs

Cf. A113151, A113115.

Programs

Magma

[p: p in PrimesUpTo(3000)|  IsPrime(13*p+2)] // Vincenzo Librandi, Jan 29 2011

Maple

select(t -> isprime(t) and isprime(13*t+2), [3,seq(i,i=5..10000,6)]); # Robert Israel, Sep 06 2018

PARI

forprime(p=3, 1e4, if(isprime(13*p+2), print1(p, ", "))); \\ Altug Alkan, Sep 07 2018