A141874 Primes congruent to 9 mod 19.

47, 199, 313, 389, 503, 541, 617, 769, 883, 997, 1187, 1301, 1453, 1567, 1871, 2099, 2137, 2213, 2251, 2441, 2593, 2707, 2897, 3011, 3049, 3163, 3391, 3467, 3581, 3733, 3847, 3923, 4493, 4721, 4759, 4987, 5101, 5443, 5519, 5557, 5861, 6089, 6203, 6317, 6469

Offset

1,1

Links

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

Formula

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Range[9, 5000, 19], PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Mar 31 2011 *)
Select[Prime[Range[850]], Mod[#, 19]==9&] (* Harvey P. Dale, Jul 02 2011 *)

Prog

(Magma) [p: p in PrimesUpTo(8000) | p mod 19 eq 9 ]; // Vincenzo Librandi, Aug 15 2012
(PARI) is(n)=isprime(n) && n%19==9 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A142413 A065532 A157362 * A224325 A211335 A142203

Adjacent sequences: A141871 A141872 A141873 * A141875 A141876 A141877

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved