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Erdős problem 397

Are there only finitely many solutions to i(2mimi)=j(2njnj) \prod_i \binom{2m_i}{m_i}=\prod_j \binom{2n_j}{n_j} with the mi,njm_i,n_j distinct?

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Problem row
sha256:eb37f4645dc73dd5663bb3a4ba0bcd95fc5298f7dce1d76938c4f2190c271a1d
Metadata
sha256:2ac7842d93917f90d5d5465cd5a5b70b5597e5428057ea21340816cdcbd15c05
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:6949b3d93fb2db5bcc67a13e27ea1761d9e5fabdeea281b1c1f339be2d6ae573
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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