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Math Notes

19 can be expressed as the sum of four perfect cubes: 19 = 333 + (-29)3 + (-25)3 + 163 So can 6941: 6941 = (-3476)3 + 30903 + 23173 + 3843 Can every integer be expressed in this way? It’s conjectured that the answer is yes, but no one has yet managed to prove it. Here’s a calculator.

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