A142091 - OEIS

%I #13 Sep 08 2022 08:45:35

%S 23,163,233,373,443,653,863,1213,1283,1423,1493,1913,2053,2333,2473,

%T 2543,2683,2753,2963,3313,3593,3733,3803,3943,4013,4153,4363,4643,

%U 4783,4993,5273,5413,5483,5623,5693,5903,6043,6113,6323,6673,6883,7583,7723,7793

%N Primes congruent to 23 mod 35.

%H Vincenzo Librandi, <a href="/A142091/b142091.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, 20000, 35], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jun 29 2011 *)

%t Select[Prime[Range[3000]],MemberQ[{23},Mod[#,35]]&] (* _Vincenzo Librandi_, Aug 19 2012 *)

%o (Magma) [p: p in PrimesUpTo(9000) | p mod 35 eq 23 ]; // _Vincenzo Librandi_, Aug 19 2012

%o (PARI) is(n)=isprime(n) && n%35==23 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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