number-theory / Number Theory, Powerful Numbers

Erdős Problem #942

lower bound improved to ≫ log n/(log log n · log log log n) infinitely often; the extremal order remains open

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number-theoryJun 14, 2026Significance 10/100Registry: lean verified

Erdős Problem #942

Prior state unknown→proved

lower bound improved to ≫ log n/(log log n · log log log n) infinitely often; the extremal order remains open

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lower bound improved to ≫ log n/(log log n · log log log n) infinitely often; the extremal order remains open

lower bound improved to ≫ log n/(log log n · log log log n) infinitely often; the extremal order remains open

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