Erdős problem 397 · problems.science

Are there only finitely many solutions to $\prod_i \binom{2m_i}{m_i}=\prod_j \binom{2n_j}{n_j}$ with the $m_i,n_j$ distinct?

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AI alongside literature
Erdős AI contributions wiki · 10 Jan, 2026
Machine
Aristotle, GPT-5.2 Pro
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AI alongside literature
Erdős AI contributions wiki · 2 Feb, 2026
Machine
Aletheia
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New proofs
GPT-Erdős
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construction
VibeMathed
Machine
Aristotle, GPT-5.2 Pro, Aletheia
Reported outcome
resolved
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