MathDB
product of 15 increased numbers by is 2015 their product

Source: 2015 Moldova JBMO TST p2

February 25, 2021
number theoryProduct

Problem Statement

Show an example of 1515 nonzero natural numbers with the property that if each one of them is increased by one, then the product of all increased numbers is 20152015 times higher than the product of the initial numbers