Search: id:A096784
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%I A096784
%S A096784 8,9,14,15,20,21,26,33,35,39,44,48,50,51,54,56,63,65,68,69,74,75,81,86,
%T A096784 90,95,98,99,105,111,114,116,119,120,125,128,134,135,140,141,146,153,
%U A096784 155,158,165,168,174,176,183,186,189,194,200,204,209,215,216,219,221
%N A096784 Numbers n such that both n and n+1 are composite numbers that sum up 
               to a prime.
%F A096784 Equals (A060254 -1)/2.
%t A096784 Select[ Range[ 225], PrimeQ[ # ] == PrimeQ[ # + 1] == False && PrimeQ[2# 
               + 1] == True &] (from Robert G. Wilson v Jul 11 2004)
%o A096784 (PARI) nextcomposite(k)=if(k<3,4,if(isprime(k),k+1,k));
%o A096784 {m=230;n=4;while(n<m,k=nextcomposite(n+1);p=n+k;if(k==n+1&&isprime(p),
               print1(n,","));n=k)} - Klaus Brockhaus, Jul 11 2004
%Y A096784 See A060254 for the primes 2n+1.
%Y A096784 Cf. A096785, A096786, A096787, A096788.
%Y A096784 Sequence in context: A105741 A083134 A068780 this_sequence A059869 A105833 
               A114305
%Y A096784 Adjacent sequences: A096781 A096782 A096783 this_sequence A096785 A096786 
               A096787
%K A096784 nonn
%O A096784 1,1
%A A096784 Lekraj Beedassy (blekraj(AT)yahoo.com), Jul 09 2004
%E A096784 Corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) 
               and Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 10 2004

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