perplexus.info :: Numbers : Take Factorial Ratios, Get Minimum

Take Factorial Ratios, Get Minimum (Posted on 2023-05-17)

Determine the minimum value of a nonnegative integer N, such that:

            (20N)!
            ------
            (N!)²¹

is NOT an integer.

Provide valid reasoning to support your answer.

Note: Computer program or spreadsheet assisted methodologies are welcome, but an analytical solution is preferred.

Submitted by K Sengupta

Rating: 4.0000 (1 votes)

Solution: (Hide)

The required minimum value of N is 23.
For an explanation, refer to the solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution -- Matlab	Charlie	2023-05-17 10:56:12
re: I think this is it.	Steve Herman	2023-05-17 10:28:54
I think this is it.	Larry	2023-05-17 08:30:25

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