A142517 - OEIS

%I #12 Sep 08 2022 08:45:36

%S 73,229,281,541,593,853,1009,1061,1217,1321,1373,1789,1997,2153,2309,

%T 2621,2777,3037,3089,3557,4129,4337,4441,4493,4597,4649,4909,5273,

%U 5689,5741,5897,6053,6469,6521,6781,6833,7457,7561,7717,7873,8081,8237,8861,9173

%N Primes congruent to 21 mod 52.

%H Vincenzo Librandi, <a href="/A142517/b142517.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1300]],Mod[#,52]==21&] (* or *) Select[52*Range[200]+ 21,PrimeQ] (* _Harvey P. Dale_, Jan 23 2012 *)

%t Select[Prime[Range[1300]], MemberQ[{21}, Mod[#, 52]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%o (Magma) [p: p in PrimesUpTo(10000) | p mod 52 eq 21]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%52==21 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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