|
%I #15 Sep 08 2022 08:45:36
%S 23,113,293,383,563,653,743,1013,1103,1193,1283,1373,1553,1733,1823,
%T 1913,2003,2273,2543,2633,2903,3083,3533,3623,3803,4073,4253,4523,
%U 4703,4793,4973,5153,5333,5693,5783,6053,6143,6323,6863,7043,7583,7673,7853,8123
%N Primes congruent to 23 mod 45.
%H Vincenzo Librandi, <a href="/A142324/b142324.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 02 2016
%t Select[Range[23, 30000, 90], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jul 14 2011 *)
%t Select[Prime[Range[1200]], MemberQ[{23}, Mod[#, 45]] &] (* _Vincenzo Librandi_, Aug 26 2012 *)
%o (Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 23]; // _Vincenzo Librandi_, Aug 26 2012
%o (PARI) is(n)=isprime(n) && n%45==23 \\ _Charles R Greathouse IV_, Jul 02 2016
%Y Cf. A000040, A142322.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_, Jul 11 2008
|
