A142389 Primes congruent to 38 mod 47.

179, 367, 461, 743, 1213, 1307, 1777, 1871, 2153, 2341, 2999, 3187, 3469, 4127, 4409, 4597, 4691, 4973, 5443, 6007, 6101, 6571, 6947, 7229, 7417, 7699, 7793, 8263, 9109, 9203, 9391, 9767, 10331, 10613, 11083, 11177, 12211, 13151, 13339, 13903, 13997, 14561

Offset

1,1

Links

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

Formula

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2000]], Mod[#, 47]==38&] (* Harvey P. Dale, Oct 24 2011 *)
Select[Prime[Range[2500]], MemberQ[{38}, Mod[#, 47]] &] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[38, 15000, 47], PrimeQ] (* Harvey P. Dale, Oct 06 2024 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 38]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==38 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A142948 A109985 A101795 * A063350 A094492 A162163

Adjacent sequences: A142386 A142387 A142388 * A142390 A142391 A142392

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved