A141868 Primes congruent to 1 mod 19.

191, 229, 419, 457, 571, 647, 761, 1103, 1217, 1483, 1559, 1597, 1787, 1901, 2053, 2129, 2243, 2281, 2357, 2699, 2851, 2927, 3041, 3079, 3307, 3877, 4219, 4409, 4447, 4523, 4561, 4637, 4751, 4789, 4903, 5701, 6043, 6271, 6689, 6803, 6841, 6917, 7069, 7297

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(8000) | p mod 19 eq 1 ]; // Vincenzo Librandi, Aug 15 2012

Mathematica

Select[Prime[Range[2000]],MemberQ[{1},Mod[#,19]]&] (* Vincenzo Librandi, Aug 15 2012 *)

PARI

is(n)=isprime(n) && n%19==1 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 02 2016