MathDB

NT3

Part of 2015 JBMO Shortlist

Problems(1)

34560 / product of all differences of possible couples of 6 given pos. integers

Source: JBMO Shortlist 2015 NT3

4/24/2019
a) Show that the product of all differences of possible couples of six given positive integers is divisible by 960960 b) Show that the product of all differences of possible couples of six given positive integers is divisible by 3456034560
PS. a) original from Albania b) modified by problem selecting committee
number theoryProductDifferencedivisible