Sunday, 2 December 2012

The sum of the cubes of two different prime numbers is 5256.

Is an simple way to solve the problem?




The sum of the cubes of two different prime numbers is 5256. What are the two primes?




Here is what I did: assume the two numbers are $x$ and $y$, then I have $x^3+y^3=5256$. I can try x and y, but I don't think it is the most effective method. Can anyone help me?

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