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Suppose is a sequence of integers such that for all integer sequences with the sum
is irrational. How slowly can grow?
Source: erdosproblems.com/262
An accepted solution exists. Settled in another form, for example when its parts resolve differently or the question is open-ended.
Solved: Hančl's 1991 theorem that an irrationality sequence must satisfy is recorded on its claim page (Hančl, 1991), and Erdős's 1975 theorem that attains that growth, the accepted partial claim it rests on, on its own page. The site labels the problem "SOLVED (LEAN)" (page last edited 2025-09-28) and says Hančl essentially solved it; the Lean proof behind the label is a public formalization of Hančl's argument linked from the claim page, of which the corpus records no build or audit as of 2026-10-07.