A092168 - OEIS

%I #15 Apr 03 2023 10:36:10

%S 3,41,79,193,269,307,383,421,839,877,953,991,1181,1409,1447,1523,1637,

%T 1789,1979,2017,2131,2207,2473,2549,2663,2777,3119,3271,3347,3461,

%U 3499,3613,3727,3803,3917,4259,4297,4373,4639,4943,5171,5209,5323,5399,5437

%N Primes congruent to 3 (modulo 19).

%C Used in a primality test.

%H Vincenzo Librandi, <a href="/A092168/b092168.txt">Table of n, a(n) for n = 1..1000</a>

%H Chris Caldwell, <a href="https://t5k.org/curios/includes/file.php?file=primetest.html">Prime test</a>.

%F a(n) ~ 18n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[ Prime[ Range[750]], Mod[ #, 19] == 3 &] (* _Robert G. Wilson v_, Apr 09 2004 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 19 eq 3]; // _Vincenzo Librandi_, Aug 06 2012

%o (PARI) is(n)=isprime(n) && n%19==3 \\ _Charles R Greathouse IV_, Jul 03 2016

%K nonn,easy

%O 1,1

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

%E More terms from _Robert G. Wilson v_, Apr 09 2004