A142554 - OEIS

%I #11 Jun 02 2024 13:10:55

%S 607,1031,1667,1879,2621,2833,2939,3257,3469,4211,4423,5059,5483,5801,

%T 6967,7603,8663,9511,9829,10253,10889,12161,12373,12479,13009,13327,

%U 13751,13963,14281,14387,16189,16931,18097,18521,18839,19051,19157,19687,19793,20323

%N Primes congruent to 24 mod 53.

%H Vincenzo Librandi, <a href="/A142554/b142554.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[{24}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%t Select[Range[24,21000,53],PrimeQ] (* _Harvey P. Dale_, Jun 02 2024 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 24]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==24 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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