Hosted by The Math Forum## Problem of the Week 1040## A Special Sum of Squares
Find 7 (not necessarily distinct) positive integers, at least one of which is greater than 1040, such that the sum of their squares is 7 times the product (of the 7 integers). Extra Credit: Solve this with 31 instead of 7 in all places. Source: Gerald Heuer, Concordia College. © Copyright 2005 Stan Wagon. Reproduced with permission. |

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11 October 2005