A138633 Primes of the form 17*k - 9.

59, 127, 229, 263, 331, 433, 467, 569, 739, 773, 977, 1181, 1249, 1283, 1453, 1487, 1657, 1759, 1861, 1997, 2099, 2269, 2371, 2473, 2609, 2677, 2711, 3119, 3187, 3221, 3323, 3391, 3527, 3697, 3833, 4003, 4139, 4241, 4513, 4547, 4649, 4751, 5023, 5227, 5261

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, May 14 2008

Keywords

• nonn

Examples

			17*4 - 9 = 59, 17*8 - 9 = 127, 17*14 - 9 = 229, 17*16 - 9 = 263, 17*20 - 9 = 331, 17*26 - 9 = 433, 17*28 - 9 = 467, ...
		

Links

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

Crossrefs

Cf. A138634.

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), this sequence (k=8), A138631 (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[400]-9,PrimeQ] (* Harvey P. Dale, Jul 25 2020 *)

Formula

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

n ~ (1/16) * a(n)/log(a(n)).

n ~ (1/16) * Integral_{x=2..a(n)} dx/log(x). (End)

Extensions

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