A142189 Primes congruent to 17 mod 40.

17, 97, 137, 257, 337, 457, 577, 617, 857, 937, 977, 1097, 1217, 1297, 1657, 1697, 1777, 2017, 2137, 2297, 2377, 2417, 2617, 2657, 2777, 2857, 2897, 3137, 3217, 3257, 3457, 3617, 3697, 4057, 4177, 4217, 4297, 4337, 4457, 4657, 4817, 4937, 5297, 5417, 5657

Offset

1,1

Links

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

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2000]], MemberQ[{17}, Mod[#, 40]]&] (* Vincenzo Librandi, Aug 20 2012 *)
Select[Range[17, 6000, 40], PrimeQ] (* Harvey P. Dale, Oct 02 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(7000) | p mod 40 eq 17]; // Vincenzo Librandi, Aug 20 2012
(PARI) is(n)=isprime(n) && n%40==17 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A094407 A131204 A070186 * A325068 A264823 A081593

Adjacent sequences: A142186 A142187 A142188 * A142190 A142191 A142192

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved