Search: id:A112779
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%I A112779
%S A112779 0,1,2,1,2,3,2,4,2,3,2,4,3,4,3,2,4,3,4,3,5,4,6,4,3,4,5,4,3,5,4,6,4,5,4,
%T A112779 5,6,4,3,5,4,6,4,5,4,5,6,4,6,7,5,4,4,6,4,5,4,5,6,4,6,7,5,4,4,6,5,5,4,6,
%U A112779 5,6,4,6,7,5,4,6,5,7,6,5,6,4,4,6,7,5,5,4,6,6,5,7,6,5,6,4,7,6,7,5,7,6,8
%N A112779 Largest exponent in the prime factorization of highly composite numbers 
               (definition 1, A002182).
%C A112779 Each highly composite number can be written as the product of primorials 
               (A002110). This is also the number of primorials used in the product.
%H A112779 T. D. Noe, <a href="b112779.txt">Table of n, a(n) for n=1..10000</a> 
               (using Flammenkamp's data)
%H A112779 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HighlyCompositeNumber.html">Highly Composite Number</a>
%H A112779 A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/highly.txt">
               First 1200 highly composite numbers</a>
%e A112779 A002182(8) = 48 = 2^4*3, which has largest exponent 4, so a(8)=4.
%Y A112779 Cf. A002182, A002183, A108602, A112778, A112780, A112781.
%Y A112779 Sequence in context: A161103 A147301 A108380 this_sequence A029201 A071283 
               A029826
%Y A112779 Adjacent sequences: A112776 A112777 A112778 this_sequence A112780 A112781 
               A112782
%K A112779 nonn
%O A112779 1,3
%A A112779 Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 11 2005

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