Find all pairs (m, n) of positive integers such that m² /2mn² -n³ +1 is a...

Secreat

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...positive integer, Can you solve it ? Find all pairs (m, n) of positive integers such that m² /2mn² -n³ +1 is a positive integer.

Can you solve it >?
 
This isn't a solution, but I assume you mean m² / (2mn² -n³ +1) ? Not knowing order of operations while presenting an advanced problem like this makes me cringe..
 
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