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Part of 2023 CMI B.Sc. Entrance Exam

Problems(1)

n|2023^n-1

Source:

5/9/2023
We will consider odd natural numbers nn such thatn∣2023n−1n|2023^n-1 <spanclass=′latex−bold′>a.</span><span class='latex-bold'>a.</span> Find the smallest two such numbers. <spanclass=′latex−bold′>b.</span><span class='latex-bold'>b.</span> Prove that there exists infinitely many such nn
number theoryCMI