A092168 Primes congruent to 3 (modulo 19).

3, 41, 79, 193, 269, 307, 383, 421, 839, 877, 953, 991, 1181, 1409, 1447, 1523, 1637, 1789, 1979, 2017, 2131, 2207, 2473, 2549, 2663, 2777, 3119, 3271, 3347, 3461, 3499, 3613, 3727, 3803, 3917, 4259, 4297, 4373, 4639, 4943, 5171, 5209, 5323, 5399, 5437

Offset

1,1

Comments

Used in a primality test.

Links

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

Chris Caldwell, Prime test.

Formula

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

Mathematica

Select[ Prime[ Range[750]], Mod[ #, 19] == 3 &] (* Robert G. Wilson v, Apr 09 2004 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 19 eq 3]; // Vincenzo Librandi, Aug 06 2012
(PARI) is(n)=isprime(n) && n%19==3 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Sequence in context: A157009 A100765 A372222 * A352605 A360930 A229080

Adjacent sequences: A092165 A092166 A092167 * A092169 A092170 A092171

Keyword

nonn,easy

Author

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004

Extensions

More terms from Robert G. Wilson v, Apr 09 2004

Status

approved