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

1,1

Comments

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

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Chris Caldwell The First 1000 Primes.

Example

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

Maple

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

Prog

(Magma) [p: p in PrimesUpTo(3000)|  IsPrime(13*p+2)] // Vincenzo Librandi, Jan 29 2011
(PARI) forprime(p=3, 1e4, if(isprime(13*p+2), print1(p, ", "))); \\ Altug Alkan, Sep 07 2018

Crossrefs

Cf. A113151, A113115.

Sequence in context: A163586 A074931 A023226 * A350856 A174913 A079496

Adjacent sequences: A113166 A113167 A113168 * A113170 A113171 A113172

Keyword

nonn

Author

Parthasarathy Nambi, Jan 06 2006

Status

approved