How can we express a number as a sum of cubes of two numbers?
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Step-by-step explanation:
M = (a^3 + b^3) = (c^3 + d^3) for distinct a, b, c, d. For example, If N = 25000, M can be any of 1729, 4104, 13832 or 20683 as these numbers can be represented as sum of two cubes for two different pairs. The idea is very simple and effective.
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