A142374 - OEIS

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

%S 23,211,587,1151,1433,1621,1997,2467,2749,2843,3313,3407,3877,4159,

%T 4253,4441,4723,4817,5099,5381,5569,5851,6133,6791,7919,8389,10457,

%U 10739,11491,11867,12149,12619,12713,13183,13841,14029,14593,14969,15439,16097,16567

%N Primes congruent to 23 mod 47.

%H Vincenzo Librandi, <a href="/A142374/b142374.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 46n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2000]],Mod[#,47]==23&] (* _Harvey P. Dale_, Feb 05 2012 *)

%t Select[Prime[Range[2500]],MemberQ[{23},Mod[#,47]]&] (* _Vincenzo Librandi_, Aug 27 2012 *)

%o (Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 23]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%47==23 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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