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What is the smallest positive integer n! such that the rightmost two digits of n! and (n+1)! are the same?

 Dec 30, 2021
 #1
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5! ==120

(5+1)! ==720

 Dec 30, 2021
 #2
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While I think guest is right, I believe 0 and 1 can also work since they both have 1 as their answer.

 Dec 30, 2021

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