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Primes congruent to 14 mod 33.
1

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

%S 47,113,179,311,443,509,641,773,839,971,1103,1301,1367,1433,1499,1697,

%T 2027,2357,2423,2621,2687,2753,2819,3083,3347,3413,3677,4007,4073,

%U 4139,4271,4337,4733,4799,4931,5261,5393,5591,5657,5987,6053,6317,6449,6581,6779

%N Primes congruent to 14 mod 33.

%H Vincenzo Librandi, <a href="/A142057/b142057.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[14, 20000, 33], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jun 25 2011 *)

%t Select[Prime[Range[3000]],MemberQ[{14},Mod[#,33]]&] (* _Vincenzo Librandi_, Aug 18 2012 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 33 eq 14 ]; // _Vincenzo Librandi_, Aug 18 2012

%o (PARI) is(n)=isprime(n) && n%33==14 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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