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Does the equation
with have only finitely many solutions?
Source: erdosproblems.com/403
An accepted solution exists. The statement is true.
PROVED (LEAN). The site labels the problem PROVED (LEAN) (page last edited 28 October 2025) and credits Frankl and Lin, independently, with the finiteness, the largest solution being ; Lin's memorandum is recorded on its claim page (Lin, 1976). The Lean qualifier refers to a classification of all solutions produced by the AxiomProver system in June 2026, which names no informal source and is a pending claim on its own page; this corpus has not built it. There is no refereed write-up. The standing in the frontmatter derives from the claim pages.