A138631 Primes of the form 17*k + 9.

43, 179, 281, 349, 383, 587, 757, 859, 1063, 1097, 1301, 1471, 1607, 1709, 1777, 1811, 1879, 1913, 2083, 2287, 2389, 2423, 2593, 2729, 2797, 3001, 3137, 3307, 3511, 3613, 3851, 3919, 4021, 4157, 4259, 4327, 4463, 4871, 4973, 5279, 5347, 5381, 5449, 5483

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, May 14 2008

Keywords

• nonn

Examples

			17*2 + 9 = 43, 17*10 + 9 = 179, 17*16 + 9 = 281, 17*20 + 9 = 349, 17*22 + 9 = 349, ...
		

Links

• Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A138632.

Primes congruent to k mod 17: A129484 (k=1), A140544 (k=2), A092074 (k=3), A094657 (k=4), A138623 (k=5), A140545 (k=6), A138629 (k=7), A138633 (k=8), this sequence (k=9), A138627 (k=10), A140542 (k=11), A138625 (k=12), A141865 (k=13), A140540 (k=14), A140543 (k=15), A140541 (k=16).

Programs

Mathematica

a={};Do[x=17*n+9;If[PrimeQ[x],AppendTo[a,x]],{n,10^2}];a
Select[17*Range[350]+9,PrimeQ] (* Harvey P. Dale, May 14 2017 *)

Formula

From A.H.M. Smeets, Sep 05 2019: (Start)

a(n)/log(a(n)) ~ 16*n;

Integral_{x=2..a(n)} dx/log(x) ~ 16*n. (End)

Extensions

More terms from N. J. A. Sloane, Jul 11 2008