MathDB

4

Part of 2015 Flanders Math Olympiad

Problems(1)

sum is product

Source: 2015 Flanders Mathematical Olympiad, Problem 4

4/27/2015
Show that for n≥5n \geq 5, the integers 1,2,…n1, 2, \ldots n can be split into two groups so that the sum of the integers in one group equals the product of the integers in the other group.