MathDB

4

Part of 2000 Balkan MO

Problems(1)

Average of elements is a perfect power

Source: Balkan MO 2000, problem 4

4/24/2006
Show that for any nn we can find a set XX of nn distinct integers greater than 1, such that the average of the elements of any subset of XX is a square, cube or higher power.
modular arithmeticnumber theory proposednumber theory