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Let . Does the density of integers for which is squarefree for at least values of exist? Is this density ?
Source: erdosproblems.com/378
An accepted solution exists. The statement is true.
Proved. The site labels the problem PROVED (page last edited 28 October 2025) and credits Theorem 5 of Granville and Ramaré (Mathematika, 1996), whose bearing on the problem Anay Aggarwal and Stijn Cambie pointed out in the discussion thread in August 2025; the result is recorded on its claim page (Granville Ramare, 1996). Both questions are answered yes. The standing in the frontmatter derives from the claim page.