Kai Jiang

Researcher, Wuhan Institute for Math & AI

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Last updated Oct 26, 2026

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Logarithms of rational numbers proven to have irrationality measure 2

New Capabilities

Co-author of independent proof on arXiv

Every irrational number can be approximated by fractions, but some approximate better than others. A new proof shows that log 2, and the logarithm of any positive rational number other than 1, has irrationality measure exactly 2.

Updated Oct 26