Sum of Cubes

Number Theory Level pending

Given: $n = a^3+b^3+c^3$

So what is the possible value of $n$ ; where $n$ is the smallest cube that can be written as the sum of three different cubes.

Remark: $a,b$ and $c$ are postive integers.

64 512 27 216 125

1 solution

Kurupati Harsha
Apr 24, 2017

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

You are right.

Hana Wehbi - 4 years, 1 month ago

Sum of Cubes

1 solution

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