Smallest Positive Integer not of form +-4 mod 9 not representable as Sum of Three Cubes/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $30$
Mistake
- $30$ is the smallest number which has not been represented as the sum of $3$ integer cubes.
Integers $n$ of the form $n \equiv \pm 4 \pmod 9$ are not so representable.
The statement needs to be restated as that:
- $30$ is the smallest number not equivalent to $\pm 4 \pmod 9$ which has not been represented as the sum of $3$ integer cubes.
Since the statement was written, $30$ has now been so represented:
- $30 = 2220422932^3 + \left({- 2218888517^3}\right) + \left({- 283059965^3}\right)$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $30$