perplexus.info :: Just Math : Product of 100 factorials

Product of 100 factorials (Posted on 2017-09-07)

Show that (1!*2!*3!*4!* ... 100!)/50! is a square number.

No Solution Yet Submitted by Ady TZIDON

Rating: 3.5000 (2 votes)

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re: when it works -- computer exploration

| Comment 4 of 8 |

And, using chun's method, we see that when n= 2 (mod 4) then the expression is a square times 2!

Edited on September 8, 2017, 10:42 am

Posted by Steve Herman on 2017-09-07 11:18:59

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