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

Source:

August 16, 2024
factorialnumber theoryPerfect Square

Problem Statement

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)
Back to ProblemsView on AoPS