Sum of Three Triangular Numbers

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Triangular numbers are integers of the form ; they are 0, 1, 3, 6, 10, 15, 21, 28, …. As a teenager, in 1796, Gauss proved that every positive integer can be written as the sum of three or fewer triangular numbers.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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