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Topic: Sum of 2 cubes in 2 or 3 ways
Replies: 20   Last Post: Apr 12, 2002 7:44 PM

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Randall Rathbun

Posts: 79
Registered: 12/6/04
Re: Sum of 2 cubes in 2 or 3 ways
Posted: Apr 3, 2002 3:07 AM
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Michael Barr wrote:
> 1. What is the smallest positive integer that is the sum of two
> integer squares in two different ways? (The answer is not 1729.)


Squares: 1^2 + 8^2 = 7^2 + 4^2 = 5 * 13

> 2. What is the smallest positive integer that is the sum of two
> integer squares in three different ways?


Squares: 33^2 + 4^2 = 32^2 + 9^2 = 31^2 + 12^2 = 24^2 + 23^2 = 5*13*17








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