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Erdős problem 677

Denote by M(n,k)M(n, k) the least common multiple of the finite set {n+1,,n+k}\{n+1, \dotsc, n+k\}. Is it true that for all mn+km \geq n + k, we get M(m,k)M(n,k)M(m, k) \neq M(n, k)?

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sha256:0f2fd4a2aaf8199f0e4a36c8f05569c6e62f4236a286e50cb62898b37a9675a1
Metadata
sha256:a9ffe8b0041a0b059feea025532ef05abe31b7cb7d2acae56233d2cff15a3e67
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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