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A138631 Primes of the form 17*k + 9. 4

%I #26 Oct 10 2019 13:16:30

%S 43,179,281,349,383,587,757,859,1063,1097,1301,1471,1607,1709,1777,

%T 1811,1879,1913,2083,2287,2389,2423,2593,2729,2797,3001,3137,3307,

%U 3511,3613,3851,3919,4021,4157,4259,4327,4463,4871,4973,5279,5347,5381,5449,5483

%N Primes of the form 17*k + 9.

%H Daniel Starodubtsev, <a href="/A138631/b138631.txt">Table of n, a(n) for n = 1..10000</a>

%F From _A.H.M. Smeets_, Sep 05 2019: (Start)

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

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

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

%t a={};Do[x=17*n+9;If[PrimeQ[x],AppendTo[a,x]],{n,10^2}];a

%t Select[17*Range[350]+9,PrimeQ] (* _Harvey P. Dale_, May 14 2017 *)

%Y Cf. A138632.

%Y 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).

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, May 14 2008

%E More terms from _N. J. A. Sloane_, Jul 11 2008

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)