A142539 - OEIS

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

%S 433,751,857,1069,1493,1811,2129,2341,2447,2659,3083,3613,3719,3931,

%T 4567,4673,5309,5521,5839,6263,6581,6793,6899,7853,8171,8807,9337,

%U 9973,10079,11351,11987,12517,12941,13259,13577,13789,14107,15061,15803,16333,16651

%N Primes congruent to 9 mod 53.

%H Vincenzo Librandi, <a href="/A142539/b142539.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[{9}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[9,17000,53],PrimeQ] (* _Harvey P. Dale_, Sep 05 2021 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 9]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==9 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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