N is a positive integer which is expressible as the sum of cubes of two positive integers.
Given that N is not divisible by 9, find the possible remainders when N is divided by 63.
63+/- {1,2,7,8,16,19,20,26,28,29} are the exhaustive list of solutions.
For an explanation, refer to the analytical solution submitted by broll in this location and computer program assisted solution submitted by Charlie in this location.
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