Putnam 2018 B3

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

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

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