A142335 Primes congruent to 44 mod 45.

89, 179, 269, 359, 449, 719, 809, 1259, 1439, 1619, 1709, 1889, 1979, 2069, 2339, 2609, 2699, 2789, 2879, 2969, 3329, 3779, 4049, 4139, 4229, 4409, 4679, 5039, 5309, 5399, 5669, 5849, 5939, 6029, 6299, 6389, 6569, 6659, 7019, 7109, 7559, 7649, 7829, 7919

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016

Mathematica

Select[Prime[Range[1000]], Mod[#, 45]==44&] (* Harvey P. Dale, Jul 25 2011 *)
Select[Prime[Range[30000]], MemberQ[{44}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 44]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==44 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A044640 A260868 A106758 * A230168 A325082 A033670

Adjacent sequences: A142332 A142333 A142334 * A142336 A142337 A142338

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved