Problem #PRU-5079

Problem

Let’s prove that $1$ is the largest natural number.
Let $n$ be the largest natural number. Then, $n^{2}$ , being a natural number, is less than or equal to $n$ . Therefore $n^{2} - n = n (n - 1) \leq 0$ . Hence, $0 \leq n \leq 1$ . Therefore $n = 1$ .

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