The set of numbers {4,7,9,10,12,14} contains three arithmetic sequences of three terms, {4,7,10}, {10,12,14}, and {4,9,14}. Find a set of six perfect squares with that property. All the perfect squares should be greater than 1 and none should be equal to each other.

Here is the set of squares which I think has the least highest value

{49,169,289,529,625,961}

with arithmetic progressions

{49,169,289},{49,289,529},{289,625,961}

Posted by goFish on 2005-11-19 18:09:51