Triangular Numbers from Triplet Products

The product of the triplet of successive
integers 5, 6, and 7 is 210, a triangular number. Find all other
examples in which the product of three successive integers is a
triangular number. Limit the search to triplets less than 1,000 (that is, to a maximum of 987, 988, 989). |

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Last Updated: January 14th, 2010.