9-Jul-1995

Unsolved Problem 28:

The number 3 can be written as 1^3+1^3+1^3 and also as 4^3+4^3+(-5)^3. Is there any other way of expressing 3 as the sum of three (positive or negative) cubes?

Reference:

[Guy 1994]
Richard K. Guy, Unsolved Problems in Number Theory, second edition. Springer Verlag. New York: 1994. Page 152.
Expressing 3 as the Sum of Three Cubes
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