- #1

Entropee

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## Homework Statement

Theorem: the numbers in the set {99, 999, 9999, ... } cannot be written as two squared integers, but at least one can be expressed as the sum of 3 squared integers.

## Homework Equations

Well there are a lot of examples but lets go with 3

^{2}+ 3

^{2}+ 9

^{2}= 99

We may have to use Euclid's division algorithm as well.

## The Attempt at a Solution

If we call the first part P and the second part Q then we can assume [itex]\neg[/itex]P [itex]\vee[/itex] [itex]\neg[/itex]Q, and try to show a contradiction here.