6-th APMO,1994

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Masum
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6-th APMO,1994

Unread post by Masum » Thu Mar 24, 2011 2:33 pm

$P3.$ Find all positive integers $n$ such that $n = a^2 + b^2$, where $a$ and $b$ are relatively prime positive
integers, and every prime not exceeding $√n$ divides $ab$.
One one thing is neutral in the universe, that is $0$.
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