Numbers equal to Sum of Squares of two Parts

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Theorem

Integers that can be split into two parts whose squares add up to it include:

$1233 = 12^2 + 33^2$
$8833 = 88^2 + 33^2$


This article is complete as far as it goes, but it could do with expansion.
In particular: Need to establish the parameters of this
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Proof


This theorem requires a proof.
In particular: Need to establish exactly what is to be proved
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Sources

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