Friday, December 3, 2010

(6, 10), find other couple of numbers such that

6, 10 are the smallest numbers such that
the difference of their squares is a cube
10^2 - 6^2 = 64 = 4^3 = 8^2

and the difference of their cubes is a square
10^3 - 6^3 = 784 = 28^2

Could you find the next smallest numbers with the same property?



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