A142330 Primes congruent to 34 mod 45.

79, 349, 439, 619, 709, 1069, 1249, 1429, 1609, 1699, 1789, 1879, 2239, 2689, 3049, 3229, 3319, 3499, 3769, 4129, 4219, 4759, 5119, 5209, 5479, 5569, 5659, 5749, 5839, 6199, 6379, 6469, 6829, 7369, 7459, 7549, 7639, 8089, 8179, 8269, 8539, 8629, 8719, 9349

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 79 mod 90. - Chai Wah Wu, Apr 29 2025

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 45 eq 34]; // Vincenzo Librandi, Aug 26 2012

Mathematica

Select[Prime[Range[1500]],Mod[#,45]==34&]  (* Harvey P. Dale, Feb 24 2011 *)
Select[Prime[Range[1200]],MemberQ[{34},Mod[#,45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

PARI

is(n)=isprime(n) && n%45==34 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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