Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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And what if the two perfect squares must be nonzero, positive, and different?
In "A Mathematician's Apology", GH Hardy tells of his visit to the great Indian mathematician Ramanujan. Hardy remarked that the number of his cab was 1729, an uninteresting number. Ramanujan disagreed, noting that 1729 is the smallest number that can be expressed as the sum of two perfect CUBES in two different ways.
Edited on January 20, 2004, 3:13 pm

Posted by Penny
on 20040120 14:41:45 