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What is the least positive integer n such that n!(n+1)!(2n+1)! - 1 yields a number ending with thirty digits of 9's?

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What is the least positive integer n that can be placed in the following expression:

n!(n+1)!(2n+1)! - 1

and yields a number ending with thirty digits of 9's.

posted May 3, 2018 by anonymous

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