%I #12 Sep 08 2022 08:45:36
%S 3,109,1063,1381,1487,1699,2017,2441,2971,3607,4243,4349,4561,5197,
%T 5303,5939,6151,6257,6469,7211,7529,7741,8059,8377,9013,9437,9649,
%U 9967,10391,10709,11027,11239,11981,12511,12829,13147,14207,14419,14737,14843,15161
%N Primes congruent to 3 mod 53.
%H Vincenzo Librandi, <a href="/A142533/b142533.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 03 2016
%t Select[Prime[Range[10000]],Mod[#,53]==3&] (* _Harvey P. Dale_, Mar 20 2011 *)
%t Select[Prime[Range[2100]], MemberQ[{3}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)
%o (Magma) [p: p in PrimesUpTo(16000) | p mod 53 eq 3]; // _Vincenzo Librandi_, Aug 29 2012
%o (PARI) is(n)=isprime(n) && n%53==3 \\ _Charles R Greathouse IV_, Jul 03 2016
%Y Cf. A000040.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_, Jul 11 2008