Find all possible pairs (x,n) of positive integers that satisfy this equation:

xn+1 - (n+1)x = 2001

Prove that no further pair exists that satisfies all the given conditions.

Note: Computer program/excel solver assisted solutions are welcome, but a semi-analytic (p&p and hand calculator) methodology is preferred.

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Posted by Katelyn Ortiz on 2023-11-01 14:39:37