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Erdős problem 399

Is it true that there are no solutions to n! = x^k ± y^k with x,y,n ∈ ℕ, x*y > 1, and k > 2?

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Problem row
sha256:163410d2ac42010440a332ee11e58dbd4268afc9da69599a742fc8dfd58dbc6a
Metadata
sha256:f496f13edeb972fc3ce781104396c7eceee47050fb1a072e137fde0e5e87f03c
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:7f62686454de034ade44c8ecd0487d0bc25c2b76f41a629cfc8ab94883391594
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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