A142335 - OEIS

%I #12 Sep 08 2022 08:45:36

%S 89,179,269,359,449,719,809,1259,1439,1619,1709,1889,1979,2069,2339,

%T 2609,2699,2789,2879,2969,3329,3779,4049,4139,4229,4409,4679,5039,

%U 5309,5399,5669,5849,5939,6029,6299,6389,6569,6659,7019,7109,7559,7649,7829,7919

%N Primes congruent to 44 mod 45.

%H Vincenzo Librandi, <a href="/A142335/b142335.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Prime[Range[1000]],Mod[#,45]==44&] (* _Harvey P. Dale_, Jul 25 2011 *)

%t Select[Prime[Range[30000]],MemberQ[{44},Mod[#,45]]&] (* _Vincenzo Librandi_, Aug 26 2012 *)

%o (Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 44]; // _Vincenzo Librandi_, Aug 26 2012

%o (PARI) is(n)=isprime(n) && n%45==44 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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