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- Thread starter Math100
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In summary, a proof in number theory is a rigorous way to demonstrate the validity of a mathematical statement or theorem. The best way to check the correctness of a proof is to have someone else review it, and examples can be useful in understanding but should not be relied upon solely. Common mistakes to avoid include circular reasoning, incorrect assumptions, and unclear explanations. To improve proof-writing skills, practice, studying other proofs, seeking feedback, and continuous revisions are recommended.

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