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2018 Putnam B Problems/Problem 3

Revision as of 18:48, 17 August 2025 by Pinotation (talk | contribs) (Created page with "==Problem== Find all positive integers <math>n < 10^{100}</math> for which simultaneously <math>n</math> divides <math>2^n</math>, <math>n-1</math> divides <math>2^n - 1</mat...")
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Problem

Find all positive integers $n < 10^{100}$ for which simultaneously $n$ divides $2^n$, $n-1$ divides $2^n - 1$, and $n-2$ divides $2^n - 2$.

Solution

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