%I A046759
%S A046759 125,128,243,256,343,512,625,729,1024,1029,1215,1250,1280,1331,1369,
%T A046759 1458,1536,1681,1701,1715,1792,1849,1875,2048,2187,2197,2209,2401,
%U A046759 2560,2809,3125,3481,3584,3645,3721,4096,4374,4375,4489,4802,4913
%N A046759 Economical numbers: write n as a product of primes raised to powers, 
               let D(n) = number of digits in product, l(n) = number of digits in 
               n; sequence gives n such that D(n)<l(n).
%H A046759 C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/
               page.php/EconomicalNumber.html">economical number</a>
%H A046759 J.-M. De Koninck and F. Luca, <a href="http://www.emc.dk/EMIS/journals/
               INTEGERS/papers/a5int2003/a5int2003.pdf">On strings of consecutive 
               economical numbers of arbitrary length</a>
%H A046759 J.-P. Delahaye, <a href="http://www.pourlascience.com/index.php?ids=aPyshoMZcCzdxrZZogDE&Menu=Pls&Action=3&id\
               n3=1459">Les chasseurs de nombres premiers</a>
%H A046759 R. G. E. Pinch, <a href="http://www.chalcedon.demon.co.uk/publish.html#62">
               Economical numbers.</a>
%H A046759 R. G. E. Pinch, <a href="http://arXiv.org/abs/math.NT/9802046">Economical 
               numbers</a>
%H A046759 W. Schneider, <a href="http://www.wschnei.de/digit-related-numbers/economical-numbers.html">
               Economical Numbers</a>
%H A046759 G. Villemin's Almanach of Numbers, <a href="http://membres.lycos.fr/villemingerard/
               Decompos/Econome.htm">Nombres Economes</a>
%H A046759 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               EconomicalNumber.html">Link to a section of The World of Mathematics.</
               a>
%e A046759 For n=125=5^3, l(n)=3 but D(n)=2.
%Y A046759 Cf. A046758, A046760.
%Y A046759 Sequence in context: A028939 A080538 A104233 this_sequence A115938 A126895 
               A069656
%Y A046759 Adjacent sequences: A046756 A046757 A046758 this_sequence A046760 A046761 
               A046762
%K A046759 nonn,nice,base,easy
%O A046759 1,1
%A A046759 N. J. A. Sloane (njas(AT)research.att.com).
%E A046759 More terms from Eric Weisstein (eric(AT)weisstein.com)