MathDB

5

Part of 2015 Thailand Mathematical Olympiad

Problems(1)

Number theory

Source: Thailand MO 2015

5/28/2016
Let nn be an integer greater than 66.Show that if n+1n+1 is a prime number,than ⌈(n−1)!n(n+1)⌉\left\lceil \frac{(n-1)!}{n(n+1)}\right \rceil is ODD.ODD.
number theory