%I #22 Feb 04 2024 01:17:13

%S 7,8,9,11,12,14,15,17,20,21,24,26,27,29,32,35,36,39,41,42,45,47,50,54,

%T 56,57,59,60,62,69,71,74,75,80,81,84,87,89,92,95,96,101,102,104,105,

%U 111,117,119,120,122,125,126,131,134,137,140,141,144,146,147,152,159,161

%N Positive integers n such that 2n-11 is prime.

%H Shawn A. Broyles, <a href="/A097338/b097338.txt">Table of n, a(n) for n = 1..1000</a>

%F Half of p+11 where p is a prime greater than 2.

%t (Prime[Range[2,100]]+11)/2 (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2010 *)

%t Select[Range[6,200],PrimeQ[2#-11]&] (* _Harvey P. Dale_, May 24 2014 *)

%o (PARI) is(n)=isprime(2*n-11) \\ _Charles R Greathouse IV_, Jul 12 2016

%Y Cf. A000040.

%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), this sequence (k=11), A097363 (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 17 2004