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3

Part of 2023 Junior Balkan Team Selection Tests - Moldova

Problems(1)

A=2024^{n+1}-2023n-2024

Source: Moldova JTST 2023

5/5/2023
Prove that the number A=2024n+1−2023n−2024A=2024^{n+1}-2023n-2024 has at least 1515 different positive divisors for every nonnegative integer n n .
number theory