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Erdős problem 126

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Let f(n)f(n) be maximal such that if A⊆NA\subseteq\mathbb{N} has ∣A∣=n|A| = n then ∏a≠b∈A(a+b)\prod_{a\neq b\in A}(a + b) has at least f(n)f(n) distinct prime factors. Is it true that f(n)log⁡n→∞\frac{f(n)}{\log n} \to\infty?

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Problem row
sha256:28333edc30d2f6432c60a9fd9df4e2c32065b66814c0c309d4cc87c4257d9321
Metadata
sha256:4c0e5d34f2b6acfd8b62e81303cadd89980aa406be85fa9551dd841299886607
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:51da5f23221392f09418ff27fcbcc8140bf9cf54421b364d1d045748e2e9cb99
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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