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.
(In reply to re: computer solution
Clearly, both x^3 and (N-x)^3 are equal mod N.
The above applies as well to s= x1+x2 and ss=x1+x2+x3+ ... xn.
Edited on November 10, 2016, 10:56 pm