A141880 Primes congruent to 15 mod 19.

53, 167, 281, 433, 509, 547, 661, 1117, 1193, 1231, 1307, 1459, 1801, 1877, 2029, 2143, 2333, 2371, 2447, 2713, 2789, 2903, 3169, 3359, 3511, 3701, 3739, 3853, 3929, 3967, 4157, 4271, 4423, 4651, 4993, 5107, 5297, 5449, 5563, 5639, 5791, 5867, 5981, 6133

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, A141869.

Programs

Magma

[p: p in PrimesUpTo(7000) | p mod 19 eq 15 ]; // Vincenzo Librandi, Aug 15 2012

Mathematica

Select[Range[15,5000,19],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2011*)
Select[Prime[Range[800]],Mod[#,19]==15&] (* Harvey P. Dale, Aug 17 2023 *)

PARI

is(n)=isprime(n) && n%19==15 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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