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Cracking the problem with 33

Preprint

Author(s): Andrew R. Booker

Publication date Created: 11 March 2019

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Abstract

Inspired by the Numberphile video "The uncracked problem with 33" by Tim Browning and Brady Haran, we investigate solutions to \(x^3+y^3+z^3=k\) for a few small values of \(k\). We find the first known solution for \(k=33\).

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Most cited references 5

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Abstract: not found
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Modular multiplication without trial division

Peter Montgomery (1985)

0 comments Cited 72 times – based on 0 reviews      Review now

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Abstract: not found
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Rational Points Near Curves and Small Nonzero | x 3 − y 2| via Lattice Reduction

Noam Elkies (2000)

0 comments Cited 16 times – based on 0 reviews

Record: found
Abstract: not found
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On the Integer Solutions of the Equation x 2 +y 2 +z 2 +2xyz = n

L. J. Mordell (1953)

0 comments Cited 8 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 11 March 2019

Publication date Updated: 2019-03-18

Article

ArXiV ID: 1903.04284

SO-VID: 39f53c92-2e9b-4ff2-9b79-adebb1ee8e98

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Categories math.NT

ScienceOpen disciplines: Number theory

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ScienceOpen disciplines: Number theory

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