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Let be maximal such that if has then has at least distinct prime factors. Is it true that ?
Source: erdosproblems.com/126
An accepted solution exists. The statement is true.
PROVED (LEAN), the site's label, crediting GPT-6 Astra; the compared Lean proves , and an alternate module of the same repository gives . The claim pages, both of that square-root bound, are Adamczewski 2026 (the Lean proof found by a pre-release GPT-6 Astra in Epoch AI's benchmark run, published in Tom Adamczewski's repository) and JohnVictor36 2026 (a Lean repository with a draft write-up). See Current assessment for the evidence.