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 A072814 Smallest exponents of perfect powers: A001597(n)=A072813(n)^a(n). 1
 2, 2, 3, 2, 2, 2, 3, 5, 2, 2, 2, 2, 2, 2, 3, 7, 2, 2, 2, 3, 2, 5, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 11, 2, 7, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 5, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Perfect Power. MATHEMATICA {2}~Join~Map[Function[m, Min@ DeleteCases[#, x_ /; x < 2] &@ Table[Boole[k^# == m] # &@ IntegerExponent[m, k], {k, 2, Floor@ Sqrt@ m}]], Select[Range@ 5000, GCD @@ FactorInteger[#][[All, -1]] > 1 &]] (* Michael De Vlieger, Dec 08 2016 *) CROSSREFS Sequence in context: A160821 A300225 A060244 * A196229 A191302 A161189 Adjacent sequences:  A072811 A072812 A072813 * A072815 A072816 A072817 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jul 12 2002 EXTENSIONS Definition corrected by Daniel Forgues, Mar 07 2009 Inserted a(1) = 2 by Gionata Neri, Dec 08 2016 STATUS approved

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Last modified May 26 13:05 EDT 2019. Contains 323586 sequences. (Running on oeis4.)