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We use a coin flipping model for the random partition and Chebyshev'sinequality to prove the lower bound $\lim \frac{\log p(n)}{\sqrt{n}} \ge C$ forthe number of partitions $p(n)$ of $n$, where $C$ is an explicit constant.

A lower bound for the partition function from Chebyshev's inequality applied to a coin flipping model for the random partition