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908 of 1221 statements are formalized in Lean (Formal Conjectures) · 107 carry an Erdős prize · 3 are independent of ZFC and 9 more can't be proved, or can't be disproved, from ZFC alone · “open” counts the computable and Lean-checked ones too.
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Beyond ZFC · no Lean solution · 12 problems✕ clear
For every \(x \in \mathbb{R}\) let \(A_x \subset \mathbb{R}\) be a bounded set with outer measure \(< 1\). Must there exist an infinite independent set, that is, some infinite \(X \subseteq \mathbb{R}\) such that \(x \notin A_y\) for all…
Let \(\mathfrak{m}\) be an infinite cardinal with \(\aleph_0 < \mathfrak{m} < \mathfrak{c} = 2^{\aleph_0}\). Let \(\{f_\alpha\}\) be a family of entire functions such that, for every \(z_0 \in \mathbb{C}\), there are at most…
Let \(G\) be a graph with chromatic number \(\aleph_1\). Is it true that there is a colouring of the edges with \(\aleph_1\) many colours such that, in any countable colouring of the vertices, there exists a vertex colour containing all…
Source: teorth/erdosproblems (its own interactive table), Apache-2.0, pulled 2026-10-22. A status here is what that database records, not an independent verification by us, except where a problem page says so.