A142072 Primes congruent to 19 mod 34.

19, 53, 223, 257, 359, 461, 563, 631, 733, 937, 971, 1039, 1277, 1447, 1481, 1549, 1583, 1753, 1787, 1889, 2161, 2297, 2399, 2467, 2671, 2909, 3011, 3079, 3181, 3623, 3691, 3793, 3929, 4099, 4133, 4201, 4337, 4507, 4643, 4813, 5051, 5119, 5153, 5323, 5527

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 34 eq 19 ]; // Vincenzo Librandi, Aug 18 2012

Mathematica

Select[Prime[Range[3000]],MemberQ[{19},Mod[#,34]]&] (* Vincenzo Librandi, Aug 18 2012 *)

PARI

is(n)=isprime(n) && n%34==19 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 02 2016