A142314 - OEIS

A142314

Primes congruent to 4 mod 45.

139, 229, 409, 499, 769, 859, 1039, 1129, 1399, 1489, 1579, 1669, 1759, 2029, 2389, 2659, 2749, 3019, 3109, 3469, 3559, 3739, 3919, 4099, 4549, 4639, 4729, 4909, 4999, 5179, 5449, 6079, 6529, 6619, 6709, 7069, 7159, 7699, 7789, 7879, 8059, 8329, 8419, 8599

(list; graph; refs; listen; history; text; internal format)

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[{4}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 25 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 4]; // Vincenzo Librandi, Aug 25 2012

(PARI) is(n)=isprime(n) && n%45==4 \\ Charles R Greathouse IV, Jul 02 2016