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Primes congruent to 19 mod 34.
3

%I #9 Sep 08 2022 08:45:35

%S 19,53,223,257,359,461,563,631,733,937,971,1039,1277,1447,1481,1549,

%T 1583,1753,1787,1889,2161,2297,2399,2467,2671,2909,3011,3079,3181,

%U 3623,3691,3793,3929,4099,4133,4201,4337,4507,4643,4813,5051,5119,5153,5323,5527

%N Primes congruent to 19 mod 34.

%H Vincenzo Librandi, <a href="/A142072/b142072.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Prime[Range[3000]],MemberQ[{19},Mod[#,34]]&] (* _Vincenzo Librandi_, Aug 18 2012 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 34 eq 19 ]; // _Vincenzo Librandi_, Aug 18 2012

%o (PARI) is(n)=isprime(n) && n%34==19 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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