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

1,1

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

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 8]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%45==8 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A013536 A142000 A053652 * A142026 A084669 A256339

Adjacent sequences: A142313 A142314 A142315 * A142317 A142318 A142319

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved