A142299 Primes congruent to 17 mod 44.

17, 61, 149, 193, 281, 457, 677, 809, 853, 941, 1117, 1249, 1381, 1601, 1733, 1777, 1997, 2129, 2393, 2437, 2657, 2789, 2833, 3229, 3361, 3449, 3581, 3889, 4021, 4153, 4241, 4373, 4549, 4637, 4813, 5077, 5209, 5297, 5693, 5737, 5869, 6089, 6133, 6221, 6353

Offset

1,1

Links

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

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{17}, Mod[#, 44]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[17, 6500, 44], PrimeQ] (* Harvey P. Dale, Feb 01 2015 *)

Prog

(Magma) [p: p in PrimesUpTo(7000) | p mod 44 eq 17 ]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%44==17 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A139906 A117874 A039607 * A211579 A211593 A211587

Adjacent sequences: A142296 A142297 A142298 * A142300 A142301 A142302

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved