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n!+1 divides (2012n)!

Source: IMC 2012, Day 2, Problem 3

July 29, 2012
logarithmsIMCcollege contests

Problem Statement

Is the set of positive integers nn such that n!+1n!+1 divides (2012n)!(2012n)! finite or infinite?
Proposed by Fedor Petrov, St. Petersburg State University.
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