Find all integers $n>1$ such that $n^2|2^n+1$.

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$3$ is clearly an example, but I can't seem to find any other. How do I prove (or disprove) that $3$ is the unique solution?

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Unanswered queue is already quite long!!!

[Here is the answer] ( [PDF] an 소 1 - Yufei Zhao yufeizhao.com › exponent_lifting_sol). Go to answer 6.

It would be good if you learn LTE technique from a good resource if you are doing Olympiad problems. Maybe from here