MathDB

1

Part of 2017 Junior Balkan MO

Problems(1)

Determine all the sets of six consecutive positive integers

Source: JBMO 2017, Q1

6/26/2017
Determine all the sets of six consecutive positive integers such that the product of some two of them . added to the product of some other two of them is equal to the product of the remaining two numbers.
number theory