Values of n for which Integer Solutions to n = x^3 + y^3 + 2 z^3 are Unknown/Historical Note
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Historical Note on Values of $n$ for which Integer Solutions to $n = x^3 + y^3 + 2 z^3$ are Unknown
1997: David Wells: Curious and Interesting Numbers (2nd ed.) reports that the given list of positive integers are the only ones known under $1000$.
The author of this webpage has been unable to determine whether this statement is still accurate.