Find all positive integers \((m, n)\) such that \(n+1|m^2+1\) and \(m+1|n^2+1\).

This is pretty much like the problems that we solve by Vieta root jumping method. Can Vieta root jumping solve this divisibility problem? If not, why?

Find all positive integers \((m, n)\) such that \(n+1|m^2+1\) and \(m+1|n^2+1\).

This is pretty much like the problems that we solve by Vieta root jumping method. Can Vieta root jumping solve this divisibility problem? If not, why?

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## Comments

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TopNewestI don't think this is that easy. See this for more discussion and a discussion in French here. – Chaebum Sheen · 1 week, 3 days ago

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– Kazem Sepehrinia · 1 week, 3 days ago

Thanks for the links :)Log in to reply

I think Vieta jumping is overkill here. – Ameya Daigavane · 2 months, 3 weeks ago

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