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2

Part of 2022 Turkey MO (2nd round)

Problems(1)

Bounding with factorials and phi function

Source: Turkey National Mathematical Olympiad 2022 P2

12/23/2022
For positive integers kk and nn, we know k≥n!k \geq n!. Prove that ϕ(k)≥(n−1)! \phi (k) \geq (n-1)!
number theoryfunction