A141874 - OEIS

%I #22 Sep 08 2022 08:45:35

%S 47,199,313,389,503,541,617,769,883,997,1187,1301,1453,1567,1871,2099,

%T 2137,2213,2251,2441,2593,2707,2897,3011,3049,3163,3391,3467,3581,

%U 3733,3847,3923,4493,4721,4759,4987,5101,5443,5519,5557,5861,6089,6203,6317,6469

%N Primes congruent to 9 mod 19.

%H Vincenzo Librandi, <a href="/A141874/b141874.txt">Table of n, a(n) for n = 1..1000</a>

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

%t Select[Range[9,5000,19],PrimeQ[#]&] (* _Vladimir Joseph Stephan Orlovsky_, Mar 31 2011 *)

%t Select[Prime[Range[850]],Mod[#,19]==9&] (* _Harvey P. Dale_, Jul 02 2011 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 19 eq 9 ]; // _Vincenzo Librandi_, Aug 15 2012

%o (PARI) is(n)=isprime(n) && n%19==9 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008