Let $p,q$ be distinct primes, $n>1$ an integer with $\log_q n $ irrational. It was, and probably still is, a conjecture that $p^{\log_q n}$ is non-integer. What progress has been made towards it?
2026-03-25 14:27:15.1774448835
On $p^{\log_q n}$, where $p$ and $q$ are distinct primes
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