Cracking the problem with 33

Andrew R. Booker*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)
385 Downloads (Pure)


Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (, we investigate solutions to x3+ y3+ z3= k for a few small values of k. We find the first known solutions for k= 33 and k= 795.

Original languageEnglish
Article number26
Number of pages6
JournalResearch in Number Theory
Issue number3
Early online date19 Jul 2019
Publication statusPublished - 1 Sep 2019


  • Diophantine equations
  • Hasse principle
  • Sums of three cubes

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