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Cracking the problem with 33

Research output: Contribution to journalArticle

Original languageEnglish
Article number26
Number of pages6
JournalResearch in Number Theory
Volume5
Issue number3
Early online date19 Jul 2019
DOIs
DateAccepted/In press - 22 Jun 2019
DateE-pub ahead of print - 19 Jul 2019
DatePublished (current) - 1 Sep 2019

Abstract

Inspired by the Numberphile video “The uncracked problem with 33” by Browning and Brady Haran (https://youtu.be/wymmCdLdPvM), 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.

    Research areas

  • Diophantine equations, Hasse principle, Sums of three cubes

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer Link at https://doi.org/10.1007/s40993-019-0162-1 . Please refer to any applicable terms of use of the publisher.

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    Licence: CC BY

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