A142573 - OEIS

%I #11 Sep 08 2022 08:45:36

%S 43,149,467,997,1103,1951,2269,2693,3011,3329,3541,4177,4283,4813,

%T 4919,5237,5449,6827,7039,7993,8311,8629,9371,9689,9901,10007,11173,

%U 11279,11491,11597,12763,13187,13399,15307,15413,15731,17321,17851,17957,18169,18593

%N Primes congruent to 43 mod 53.

%H Vincenzo Librandi, <a href="/A142573/b142573.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 04 2016

%t Select[Prime[Range[2600]], MemberQ[{43}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%t Select[Range[43,20000,53],PrimeQ] (* _Harvey P. Dale_, Apr 27 2015 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 43]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==43 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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