Given:
So what is the possible value of ; where is the smallest cube that can be written as the sum of three different cubes.
Remark: and are postive integers.
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clearly 1,2,3,4 does not satisfy the equation.So start checking with 5^3. It doesn't satisfy either the only solution to the problem is 6^3=5^3+4^3+3^3 i.e 216=125+64+27