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Claim. There is a set of positive integers of density one whose increasing enumeration has distinct products on distinct consecutive blocks; the answer to the question is yes.

The result. An Overleaf document by T. Pauwels, linked in the site's thread by the curator on 13 July 2026 among claimed solutions that had not passed moderation; the curator wrote that they had not read these attempts in detail and made no claim about their correctness or their similarity to each other or to Chojecki's proof. The author wrote in the thread on 19 July 2026 that the main version of the attempt was produced on 10 July, that a comment submitting it was declined because the author could not yet explain and verify the proof independently in enough detail, and that a public GitHub repository with related Lean files existed (no public repository of the stated name is known). The curator noted that the attempt cites GPT-5.6 Sol, the model Chojecki also used, and read the two as independent instances arriving at similar proofs from the same earlier work of Chojecki and Tao; Chojecki wrote that the construction looks similar while the computations differ and are much longer. The page name uses the date the document became visible on the site; the author dates the work itself to 10 July.

Standing. Reviewed by nobody. The document is not held in this corpus; its contents are known only through the thread. The problem's solved standing rests on Chojecki's claim and Sneiderman's claim.

Depends on. No page of this wiki.