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Problem of the Week 1251

Unusual Integer Pairs

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The positive integers x = 692 and y = 1118 have a curious property: the sum of their cubes starts with the digits of the sum of their squares.

x² + y² = 1728788
x³ + y³ = 1728788920

There are other pairs of distinct integers with this property. Can you find another such pair?

Source: Joseph DeVincentis and Erich Friedman.

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15 October 2017