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National and Regional ContestsUSA ContestsUSA - College-Hosted EventsHarvard-MIT Mathematics Tournament2007 Harvard-MIT Mathematics Tournament132007 Guts #13: Largest Integer Division

2007 Guts #13: Largest Integer Division

Source:

June 22, 2012

Problem Statement

Determine the largest integer

n

such that

7^{2048}-1

is divisible by

2^n

.

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