A142117 - OEIS

%I #12 Sep 08 2022 08:45:35

%S 193,563,859,1229,1303,1451,1747,2339,2857,3079,3301,3449,3671,3967,

%T 4337,5003,5077,5521,5669,5743,6113,6779,7001,7297,7741,7963,8111,

%U 8629,8999,9221,9739,9887,10331,10627,11071,11959,12107,12329,13217,13291,13513,13883

%N Primes congruent to 8 mod 37.

%H Vincenzo Librandi, <a href="/A142117/b142117.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 36n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[8,20000,37],PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, May 07 2011 *)

%t Select[Prime[Range[5000]],MemberQ[{8},Mod[#,37]]&] (* _Vincenzo Librandi_, Aug 19 2012 *)

%o (Magma)[p: p in PrimesUpTo(15000) | p mod 37 eq 8 ]; // _Vincenzo Librandi_, Aug 19 2012

%o (PARI) is(n)=isprime(n) && n%37==8 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A142114, A142115, A142116.

%K nonn,easy

%O 1,1

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