A142319 Primes congruent to 14 mod 45.

59, 149, 239, 419, 509, 599, 1049, 1229, 1319, 1409, 1499, 1949, 2039, 2129, 2309, 2399, 2579, 2939, 3119, 3209, 3299, 3389, 3659, 3929, 4019, 4289, 4649, 4919, 5009, 5099, 5189, 5279, 5639, 6089, 6269, 6359, 6449, 6719, 6899, 7079, 7349, 7529, 8069, 8429

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 45 eq 14]; // Vincenzo Librandi, Aug 26 2012

Mathematica

Select[Range[14, 8500, 45], PrimeQ] (* Harvey P. Dale, May 09 2012 *)
Select[Prime[Range[1200]], MemberQ[{14}, Mod[#, 45]] &] (* Vincenzo Librandi, Aug 26 2012 *)

PARI

is(n)=isprime(n) && n%45==14 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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