Problem 932

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Statement. Let $p_k$ denote the $k$th prime. For infinitely many $r$ there are at least two integers $p_r<n<p_{r+1}$ all of whose prime factors are $<p_{r+1}-p_r$.

Status. Open.

Source. erdosproblems.com/932, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #932, https://www.erdosproblems.com/932.

Formalization. Statement in formal-conjectures.

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