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Problem of the Week
Problem C
1000 is SUM Number!

Did you know that \(1000\) can be written as the sum of \(16\) consecutive integers?

That is, \[1000=55+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70\]

The notation below illustrates a mathematical short form used for writing the above sum. The notation is called Sigma Notation.

\[\Huge\sum_{i=55}^{70}i = 1000\]

Using at least two integers, what is the minimum number of consecutive integers that sum to exactly \(1000\)?

Themes: Algebra, Number Sense