Distinct consecutive sums!
Number Theory
Level
4
\[\begin{eqnarray} 1243 + 1244 + 1245 + \cdots + 1882 &=& 10^6 \\ 1288 + 1289 + 1290 + \cdots + 1912 &=& 10^6 \end{eqnarray} \]
The above shows 2 ways to express \(10^6\) as the sum of 2 or more consecutive positive integers.
How many other ways can we express \(10^6\) as the sum of 2 or more consecutive positive integers?
by
Pi Han Goh