A142533 - OEIS

%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