# Consecutive Fun

**Number Theory**Level 4

\[ \begin{eqnarray} 39&=&12+13+14\\ 40&=&6+7+8+9+10\\ 41&=&20+21\\ 42&=&13+14+15\\ &.& \\ &.& \\ &.& \\ \end{eqnarray} \]

The above shows the first few numbers starting from 39 which are stated as the sum of two or more consecutive positive integers.

What is the smallest whole number greater than 39 which cannot be expressed as a sum of two or more consecutive integers?