A142334 - OEIS

%I #12 Sep 08 2022 08:45:36

%S 43,223,313,673,853,1033,1123,1213,1303,1483,1663,1753,1933,2113,2203,

%T 2293,2383,2473,2833,3373,3463,3643,3733,3823,4003,4093,4273,4363,

%U 4723,4813,4903,4993,5443,5623,6073,6163,6343,6703,6793,6883,7243,7333,7603,7873

%N Primes congruent to 43 mod 45.

%H Vincenzo Librandi, <a href="/A142334/b142334.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1000]],Mod[#,45]==43&] (* _Harvey P. Dale_, Jan 14 2012 *)

%t Select[Prime[Range[1200]],MemberQ[{43},Mod[#,45]]&] (* _Vincenzo Librandi_, Aug 26 2012 *)

%o (Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 43]; // _Vincenzo Librandi_, Aug 26 2012

%o (PARI) is(n)=isprime(n) && n%45==43 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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