Erdős problem 401 · problems.science

Is there some function $f(r)$ such that $f(r)\to \infty$ as $r\to\infty$ , such that, for infinitely many $n$ , there exist $a_1,a_2$ with $a_1+a_2> n+f(r)\log n$ such that $a_1!a_2! \mid n!2^n3^n\cdots p_r^n$ ?

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AI collaborating with humans
Erdős AI contributions wiki · 10-11 Jan, 2026
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Aristotle, GPT-5.2 Pro
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Boris Alexeev, Kevin Barreto, Liam Price, Nat Sothanaphan
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VibeMathed
Machine
Aristotle, GPT-5.2 Pro
People
Boris Alexeev, Kevin Barreto, Liam Price, Nat Sothanaphan
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resolved
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