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Primes congruent to 5 mod 53.
1

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

%S 5,641,853,1171,1277,1489,1913,2549,3079,3821,4139,4457,4987,5623,

%T 6047,6577,7001,7213,8167,8273,8803,9227,9439,10181,10499,10711,12301,

%U 12619,13043,13679,13997,14633,14951,15269,16223,17389,17707,18131,18661,18979

%N Primes congruent to 5 mod 53.

%H Vincenzo Librandi, <a href="/A142535/b142535.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[2600]], MemberQ[{5}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[5,20000,53],PrimeQ] (* _Harvey P. Dale_, May 30 2022 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 5]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==5 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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