MathDB
Putnam 2018 B3

Source:

December 2, 2018
PutnamPutnam 2018

Problem Statement

Find all positive integers n<10100n < 10^{100} for which simultaneously nn divides 2n2^n, n1n-1 divides 2n12^n - 1, and n2n-2 divides 2n22^n - 2.