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2024^8 | 2024!

Source: Assara 2024 J5

October 14, 2024
number theory

Problem Statement

Prove that 2024!2024! is divisible by a) 202422024^2; b) 202482024^8. (n!=1⋅2⋅3⋅...⋅nn!=1\cdot 2 \cdot 3 \cdot ... \cdot n) Z.Smysl
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