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Erdős problem 443

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Let m,n≥1m,n\geq 1. What is #{k(m−k):1≤k≤m/2}∩{l(n−l):1≤l≤n/2}?\# \{ k(m-k) : 1\leq k\leq m/2\} \cap \{ l(n-l) : 1\leq l\leq n/2\}? Is it ≤(mn)o(1)\leq (mn)^{o(1)} for all sufficiently large m,nm,n?

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Problem row
sha256:1e660225fe777b67defe9413e503d7b309f2525729222789d1dcfa051eb86587
Metadata
sha256:58bb03f64fd5b6fdedde13917fbfee7e82dcf15b87060b7404cf9f454f3cabb8
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:35f9645dc684a1aadd1d7abe3a1e32e9d698bac5933256eb73b0627a44e7f1ba
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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