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Help how to do this

 

Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers.  His sequence starts
2, 3, 5, 6, 7, 10, 11, ...
What is the 100th term in Cai's list?

 Feb 17, 2023
 #1
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The 100th term is 144.

 Feb 17, 2023
 #2
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The 100th answer cannot be 144 as it's a perfect power...

Guest Feb 17, 2023
 #3
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2, 3, 5, 6, 7, 10, 11, ...etc.

 

What numbers are missing from your list above? All the missing numbers are: squares, cubes and perfect powers !  Use that as a guide. Good luck to you lazy bones !

 Feb 17, 2023

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