Largest Positive Integer not Sum of Distinct Cubes
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Theorem
$12 \, 758$ is the largest positive integer that cannot be expressed as the sum of distinct cubes.
Proof
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Sources
- 1964: R.L. Graham: Complete sequences of polynomial values (Duke Math. J. Vol. 31: pp. 275 – 285)
- Jan. 1974: Robert E. Dressler and Thomas Parker: 12,758 (Math. Comp. Vol. 28, no. 125: pp. 313 – 314) www.jstor.org/stable/2005841
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $12,758$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $12,758$