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Problem 635
Let and be such that whenever with we have . How large can be? Is it true that
Source: erdosproblems.com/635
- Number theory
Status
OpenNo claim settles this problem.
The site's label is OPEN. Its commentary records that ChatGPT-5.2, prompted by Leeham, answered the second question yes, and that a positive answer also follows from an inequality of Elliott [El79]. The first question is open. The pending claim is Leeham 2026.