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%I #6 Dec 05 2013 19:55:33
%S 8,96,768,8192,98304,786432,8388608,67108864,805306368,8589934592,
%T 68719476736,824633720832,8796093022208,70368744177664
%N Largest n-digit number of the form p^a*q^b... with the maximum value of a+b+.... where p, q etc. are primes.
%F The elements of this sequence have the form 2^a*3^b where a is an integer and b is either 0 or 1. - _Stefan Steinerberger_, Nov 05 2005
%F If 2^(floor(log_2(10^n))) < (2/3)*10^n then a(n)=2^(floor(log_2(10^n)))*3, otherwise a(n) is 2^(floor(log_2(10^n))), where log_2 denotes the logarithm in base 2. - _Stefan Steinerberger_, Nov 15 2005
%e a(2) = 96 = 2^5*3 a+b 5+1= 6 and is the maximum one can get with the largest two digit number 96.
%Y Cf. A074113.
%K base,nonn,more
%O 1,1
%A _Amarnath Murthy_, Aug 27 2002
%E a(5)-a(14) from _Stefan Steinerberger_, Nov 15 2005