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The irrationality measure of π

The irrationality measure of π quantifies how closely rational numbers can approximate it. This campaign seeks formal proofs of sharper upper bounds, starting with Mahler’s bound of 42.

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1 mission
Best formalized bound≤ 42

Mahler's irrationality bound for π: 42Solved Oct 1, 2026

Formalized missions form a staircase in recorded order, one slot per mission at uniform spacing. Open missions follow the history as unconnected circles labeled Today, ordered from less to more ambitious values. Select a point to highlight its mission on this page.Upper bound41.842.042.2Oct 1Mahler's irrationality bound for π: 42, ≤ 42, formalized
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Top contributors

RankContributorAccepted solutionsSubmitted problems
1GAGabewhigham10
1LULucas11
3MAmarwahaha02

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Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. Missions are open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions, with reuse governed by our licensing terms.

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