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%I #25 Mar 03 2019 02:41:59
%S 1,16,64,81,256,512,625,729,1024,1296,2401,4096,6561,10000,14641,
%T 15625,16384,19683,20736,28561,32768,38416,46656,50625,59049,65536,
%U 83521,104976,117649,130321,160000,194481,234256,262144,279841,331776,390625
%N Perfect powers in more than one way.
%C Corresponding values of ways for a(n) in A175066(n) for n >= 2. - _Jaroslav Krizek_, Jan 23 2010
%C Perfect powers expressible as m^k with k composite. - _Charlie Neder_, Mar 02 2019
%H Donovan Johnson, <a href="/A117453/b117453.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PerfectPower.html">Perfect Power</a>
%e 16 = 2^4 = 4^2.
%t s = Split@ Sort@ Flatten@ Table[ n^i, {n, 2, Sqrt@456975}, {i, 2, Log[n, 456975]}]; Union@ Flatten@ Select[s, Length@ # > 1 &] (* _Robert G. Wilson v_, Apr 12 2006 *)
%Y Cf. A001597, A322449.
%K nonn
%O 1,2
%A _Eric W. Weisstein_, Mar 16 2006
%E More terms from _Robert G. Wilson v_, Apr 12 2006
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