MathDB

10.2

Part of 2009 All-Russian Olympiad Regional Round

Problems(1)

product of n consecutives = product of n + 100 consecutives

Source: All-Russian MO 2009 Regional 10. 2

8/27/2024
Prove that there is a natural number n>1n > 1 such that the product of some nn consecutive natural numbers is equal to the product of some n+100n + 100 consecutive natural numbers.
number theoryconsecutiveProduct