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Too many ways

Source: BdMO 2024 Higher Secondary National P8

March 18, 2024
number theoryprime divisorNT construction

Problem Statement

Let kk be a positive integer. Show that there exist infinitely many positive integers nn such that nn−1n−1\frac{n^n-1}{n-1} has at least kk distinct prime divisors.
Proposed by Adnan Sadik
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