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A098605 Positive integers n such that 2n - 17 is prime. 21


%S 10,11,12,14,15,17,18,20,23,24,27,29,30,32,35,38,39,42,44,45,48,50,53,

%T 57,59,60,62,63,65,72,74,77,78,83,84,87,90,92,95,98,99,104,105,107,

%U 108,114,120,122,123,125,128,129,134,137,140,143,144,147,149,150,155,162

%N Positive integers n such that 2n - 17 is prime.

%C Solutions of the equation (2*n-17)' = 1, where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Nov 15 2012

%H Shawn A. Broyles, <a href="/A098605/b098605.txt">Table of n, a(n) for n = 1..1000</a>

%F Half of p+17 where p is a prime greater than 2.

%t (Prime[Range[2,100]]+17)/2 (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2010 *)

%o (PARI) is(n)=isprime(2*n-17) \\ _Charles R Greathouse IV_, Jul 12 2016

%Y Cf. A000040, A098602, A098603.

%Y Numbers n such that 2n+k is prime: A005097 (k=1), A067076 (k=3), A089038 (k=5), A105760 (k=7), A155722 (k=9), A101448 (k=11), A153081 (k=13), A089559 (k=15), A173059 (k=17), A153143 (k=19).

%Y Numbers n such that 2n-k is prime: A006254 (k=1), A098090 (k=3), A089253 (k=5), A089192 (k=7), A097069 (k=9), A097338 (k=11), A097363 (k=13), A097480 (k=15), this sequence (k=17), A097932 (k=19).

%K easy,nonn

%O 1,1

%A Douglas Winston (douglas.winston(AT)srupc.com), Sep 20 2004

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Last modified August 22 12:22 EDT 2019. Contains 326177 sequences. (Running on oeis4.)