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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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