Math Notes - Futility Closet

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.

August 3, 2026August 2, 2026 | Science & Math

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