A142297 - OEIS

%I #9 Sep 08 2022 08:45:36

%S 13,101,233,277,409,541,673,761,937,1069,1201,1289,1553,1597,1861,

%T 1949,1993,2081,2213,2389,2477,2521,2609,2741,2917,3049,3137,3181,

%U 3313,3533,3709,3797,3929,4457,4721,5381,5557,5689,5821,5953,6173,6217,6481,6569

%N Primes congruent to 13 mod 44.

%H Vincenzo Librandi, <a href="/A142297/b142297.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[Prime[Range[2500]],MemberQ[{13},Mod[#,44]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%o (Magma) [p: p in PrimesUpTo(7000) | p mod 44 eq 13 ]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%44==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