A142581 - OEIS

%I #11 Dec 23 2023 16:28:59

%S 157,263,1217,1429,1747,2383,3019,3761,4079,4397,5351,5563,5669,5881,

%T 5987,6199,7577,7789,8849,9697,9803,10333,10651,11287,11393,11923,

%U 12241,12347,12983,13513,13619,13831,14149,14891,15527,15739,16057,16481,16693,17011

%N Primes congruent to 51 mod 53.

%H Vincenzo Librandi, <a href="/A142581/b142581.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[{51}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%t Select[Range[51,18000,53],PrimeQ] (* _Harvey P. Dale_, Dec 23 2023 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 51]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==51 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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