MathDB

4

Part of 2013 Indonesia MO

Problems(1)

Sum of products of three integers

Source: Indonesian Mathematical Olympiad 2013 Problem 4

9/5/2013
Suppose p>3p > 3 is a prime number and S=∑2≤i<j<k≤p−1ijkS = \sum_{2 \le i < j < k \le p-1} ijk Prove that S+1S+1 is divisible by pp.
modular arithmeticnumber theory unsolvednumber theory