Largest Positive Integer not Sum of Distinct Cubes

Theorem

$12 \, 758$ is the largest positive integer that cannot be expressed as the sum of distinct cubes.


Proof


This theorem requires a proof.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.


Sources

  • 1964: R.L. Graham: Complete sequences of polynomial values (Duke Math. J. Vol. 31: pp. 275 – 285)
  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $12,758$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $12,758$
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.