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Let X be the smallest positive integer expressible as the sum of two positive cubes in two different ways,let Y be the smallest positive integer expressible as the sum of two positive or negative cubes in two different ways.Find
The answer is 19.
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1 solution
X is famous Hardy–Ramanujan number ,1729 = 1^3 + 12^3 = 9^3 + 10^3. Y is 91 = 6^3 + (−5)^3 = 4^3 + 3^3