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Six Squares (Posted on 2005-11-18) Difficulty: 4 of 5
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.

No Solution Yet Submitted by Brian Smith    
Rating: 3.8000 (5 votes)

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Solution Smaller solution | Comment 2 of 3 |

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
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