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noPowerPartitionNumber

Specification

There are no partition numbers $p(k)$ of the form $x^m$, with $x,m$ integers $>1$. See comment by Zhi-Wei Sun (Dec 02 2013).

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Lean 4 Statement
theorem noPowerPartitionNumber : answer(sorry) ↔ ∀ k, ¬IsPerfectPower (p k)
ID: OEIS__41__noPowerPartitionNumber
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