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Primes congruent to 13 mod 33.
1

%I #12 Sep 08 2022 08:45:35

%S 13,79,211,277,409,541,607,673,739,937,1069,1201,1399,1531,1597,1663,

%T 1861,1993,2389,2521,2719,2851,2917,3049,3181,3313,3511,3643,3709,

%U 3907,4567,4831,5227,5557,5623,5689,5821,5953,6151,6217,6481,6547,6679,7207,7537

%N Primes congruent to 13 mod 33.

%H Vincenzo Librandi, <a href="/A142056/b142056.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 20n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Range[13, 20000, 33], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jun 25 2011 *)

%t Select[Prime[Range[3000]],MemberQ[{13},Mod[#,33]]&] (* _Vincenzo Librandi_, Aug 18 2012 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 33 eq 13 ]; // _Vincenzo Librandi_, Aug 18 2012

%o (PARI) is(n)=isprime(n) && n%33==13 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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