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Omni-MATH / Determine all positive integers n such that (a²+n²)/(b²−n²) is a positive integer for some a,b∈N. Turkey

Problem

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problem

Determine all positive integers nn such that a2+n2b2−n2\frac{a^2+n^2}{b^2-n^2} is a positive integer for some a,b∈Na,b\in \mathbb{N}. TurkeyTurkey
Plain-text mathematical notation (without MathML)
Determine all positive integers n such that (a²+n²)/(b²−n²) is a positive integer for some a,b∈N.
Turkey
Original LaTeX notation
Determine all positive integers $n$ such that $\frac{a^2+n^2}{b^2-n^2}$ is a positive integer for some $a,b\in \mathbb{N}$.
$Turkey$

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Source and history

task_id
bfc67595-2794-5eae-8e9a-a96aa6b71ee3
task_key
test--bfc67595-2794-5eae-8e9a-a96aa6b71ee3
task_revision_id
1
config / split
/ test

Official source

initial import