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Erdős problem 728

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Whether there are infinitely many integers a,b,na, b, n with a,b≥εna, b \ge \varepsilon n such that a!⋅b!a!\cdot b! divides n!⋅(a+b−n)!n!\cdot(a+b-n)! while a+ba+b exceeds nn by more than C⋅log⁡nC\cdot\log n.

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  2. WorkNo submitted work retained
  3. VerificationNo check retained
  4. DecisionNo Repository has decided
  5. StandingA Result stands here
  6. Next gapNot recorded

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:ab6c67eb5ff0c3e863b395e773e059334d785a792aa7ff782c9905427c12a191
Metadata
sha256:8b24abb4daf322569ad282c1f2d2478858c08ef7bf1eb4e8a7a0fec004c7729b
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:66a2fe17d034c27e4264678274838dda4cbc29887cadb7811f0317d8b74d6e79
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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