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How many numbers between 1 and 1,000,000  have the dual property of being both a perfect square and a perfect cube for the same number? Thanks for any help.

 Oct 17, 2018

Best Answer 

 #1
avatar+5089 
+1

There appear to be 10

 

\(\{1,64,729,4096,15625,46656,117649,262144,531441,1000000\}\)

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 Oct 18, 2018
 #1
avatar+5089 
+1
Best Answer

There appear to be 10

 

\(\{1,64,729,4096,15625,46656,117649,262144,531441,1000000\}\)

Rom Oct 18, 2018
 #2
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+1

Rom's answer is simply:

 

1^6,  2^6,  3^6,  4^6,  5^6,  6^6,  7^6,  8^6,  9^6,  10^6.

 Oct 18, 2018

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