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Mathematics 41 Online
OpenStudy (anonymous):

A positive integer is called a perfect power if it can be written in the form \[a^b,\] where \[a\] and \[b\] are positive integers with \[b \geq 2\]. For example, \[32\] and \[125\] are perfect powers because \[32 = 2^5\] and \[125 = 5^3.\] The increasing sequence \[ 2, 3, 5, 6, 7, 10, \ldots \] consists of all positive integers which are not perfect powers. What is the sum of the squares of the digits of the \[1000^\text{th}\] number in this sequence?

OpenStudy (unklerhaukus):

@ParthKohli

Parth (parthkohli):

Sounds like a programming question to me.

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