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Let be a sequence of integers such that . Is it true that, for every ,
Source: erdosproblems.com/967
An accepted solution exists. The statement is false.
DISPROVED (LEAN). The site credits Yip [Yi25], whose representation theorem yields, for each real , an admissible infinite sequence with ; its Lean marker refers to a third-party formalization that this corpus has not built, and it records the finite-sequence variant as open. The standing derives from Yip's claim page (2025).