CollapseProblem 826Are there infinitely many nnn such that, for all k≥1k\geq 1k≥1, τ(n+k)≪k?\tau(n+k)\ll k?τ(n+k)≪k?Source: erdosproblems.com/826Number theoryWiki pageStatusOpenNo claim settles this problem.ReferencesLa26C. F. Lau, On the number of prime factors of consecutive integers. arXiv:2604.15042 (2026).