A142308 - OEIS

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

%S 37,257,389,433,521,653,829,1049,1093,1181,1489,1621,1709,1753,1973,

%T 2017,2237,2281,2633,2677,2897,3469,3557,3733,3821,4129,4217,4261,

%U 4349,4481,4657,4789,4877,5009,5273,5449,5581,5669,5801,6197,6329,6373,6637,6857

%N Primes congruent to 37 mod 44.

%H Vincenzo Librandi, <a href="/A142308/b142308.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[{37},Mod[#,44]]&] (* _Vincenzo Librandi_, Aug 25 2012 *)

%o (Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 37]; // _Vincenzo Librandi_, Aug 25 2012

%o (PARI) is(n)=isprime(n) && n%44==37 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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