P 9
Source:
May 25, 2007
Additive Number Theory
Problem Statement
The integer can be written as a sum of two consecutive integers: 9=4+5. Moreover it can be written as a sum of (more than one) consecutive positive integers in exactly two ways, namely 9=4+5= 2+3+4. Is there an integer which can be written as a sum of consecutive integers and which can be written as a sum of (more than one) consecutive positive integers in exactly ways?