A142316 Primes congruent to 8 mod 45.

53, 233, 503, 593, 683, 773, 863, 953, 1223, 1493, 1583, 2213, 2393, 2663, 2753, 2843, 3023, 3203, 3833, 3923, 4013, 4283, 4373, 4463, 4643, 4733, 5003, 5273, 5813, 5903, 6173, 6263, 6353, 6803, 6983, 7253, 7433, 7523, 7703, 7793, 7883, 8243, 8423, 8513

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

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 8]; // Vincenzo Librandi, Aug 25 2012

Mathematica

Select[Prime[Range[3000]],MemberQ[{8},Mod[#,45]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[8,9000,45],PrimeQ] (* Harvey P. Dale, Oct 12 2024 *)

PARI

is(n)=isprime(n) && n%45==8 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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