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(496) 3

Part of 1996 Tournament Of Towns

Problems(1)

TOT 496 1996 Spring S O3 product of 99 factorials a perfect sqaure

Source:

8/16/2024
Consider the factorials of the first 100100 positive integers, namely, 1!,2!1!, 2!, ......, 100!100!. Is it possible to delete one of them so that the product of the remaining ones is a perfect square?
(S Tokarev)
factorialnumber theoryPerfect Square