# 1 Is The Largest Positive Integer

Algebra Level 1

Theorem. Among all positive integers, the integer 1 is the largest.

 Proof Step 1. Take any integer $$n \neq 1$$. Step 2. Since $$n^2 > n$$, it is not the largest positive integer. Step 3. Therefore, 1 is the largest integer.

What is the error (if any) in the above proof?

Once you eliminate the impossible, whatever remains, no matter how improbable, must be the truth. - Sherlock Holmes

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