A141858 Primes congruent to 2 mod 13.

2, 41, 67, 197, 223, 353, 379, 431, 457, 509, 587, 613, 691, 743, 769, 821, 977, 1237, 1289, 1367, 1471, 1523, 1549, 1601, 1627, 1783, 1861, 1913, 2017, 2069, 2251, 2381, 2459, 2693, 2719, 2797, 2927, 2953, 3083, 3109, 3187, 3343, 3499, 3733, 3863, 3889, 3967

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Programs

Magma

[ p: p in PrimesUpTo(11000) | p mod 13 eq 2 ]; // Vincenzo Librandi, Apr 07 2011

Mathematica

Select[Range[2, 20000, 13], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 18 2011 *)
Select[Prime[Range[600]],Mod[#,13]==2&] (* Harvey P. Dale, Mar 10 2023 *)

PARI

is(n)=isprime(n) && n%13==2 \\ Charles R Greathouse IV, Jul 02 2016

Formula

{2} UNION A140374. - R. J. Mathar, Jul 20 2008

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 02 2016