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A097363 Positive integers n such that 2n-13 is prime. 20


%S 8,9,10,12,13,15,16,18,21,22,25,27,28,30,33,36,37,40,42,43,46,48,51,

%T 55,57,58,60,61,63,70,72,75,76,81,82,85,88,90,93,96,97,102,103,105,

%U 106,112,118,120,121,123,126,127,132,135,138,141,142,145,147,148,153,160,162

%N Positive integers n such that 2n-13 is prime.

%C Solutions of the equation (2*n-13)'=1, where n' is the arithmetic derivative of n. - _Paolo P. Lava_, Nov 15 2012

%H Shawn A. Broyles, <a href="/A097363/b097363.txt">Table of n, a(n) for n = 1..1000</a>

%F Half of p+13 where p is a prime greater than 2.

%t (Prime[Range[2,100]]+13)/2 (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2010 *)

%t Select[Range[8,200],PrimeQ[2#-13]&] (* _Harvey P. Dale_, Apr 26 2013 *)

%Y Cf. A000040, A098602.

%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), this sequence (k=13), A097480 (k=15), A098605 (k=17), A097932 (k=19).

%K easy,nonn

%O 1,1

%A Douglas Winston (douglas.winston(AT)srupc.com), Sep 18 2004

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Last modified September 20 21:19 EDT 2019. Contains 327247 sequences. (Running on oeis4.)