#### Bladesofhalo

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I know there are 2 ways to do it, but could someone show me how to do it one way and I will figure out the rest. Thanks.

- Thread starter Bladesofhalo
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- Sep 18, 2006

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I know there are 2 ways to do it, but could someone show me how to do it one way and I will figure out the rest. Thanks.

I have to express 1729 as the sum of 2 cubes.

I know there are 2 ways to do it.

I know of no elementary method for finding them.

You might as well make a list of cubes and try to get a sum of 1729.

. . . \(\displaystyle \begin{array}{cccccccccccc}1^3 & = & 1 \\ 2^3 & = & 8 \\ 3^3 & = & 27 \\ 4^3 & = & 64 \\ 5^3 & = & 125 \\ 6^3 & = & 216 \\ 7^3 & = & 343 \\ 8^3 & = & 512 \\ 9^3 & = & 729 \\ 8^3 & = & 512 \\ 9^3 & = & 729 \\ 10^3 & = & 1000 \\ 11^3 & = & 1331 \\ 12^3 & = & 1728\end{array}\)