A142582 - OEIS

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

%S 211,317,953,1483,1801,1907,2437,2543,2861,3391,3709,4027,4133,4451,

%T 4663,5087,6359,6571,7207,7949,8161,9221,9433,9539,9857,10069,11447,

%U 12401,12613,13037,13249,13567,14627,15263,15581,16111,16217,16747,17383,17489,17807

%N Primes congruent to 52 mod 53.

%H Vincenzo Librandi, <a href="/A142582/b142582.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[{52}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%t Select[Range[52,20000,53],PrimeQ] (* _Harvey P. Dale_, Jan 22 2015 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 52]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==52 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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