Sums of three cubes
id:
sums-of-three-cubes-176-6731867
title:
Sums of three cubes
text:
In the mathematics of sums of powers, it is an open problem to characterize the numbers that can be expressed as a sum of three cubes of integers, allowing both positive and negative cubes in the sum. A necessary condition for an integer n to equal such a sum is that n cannot equal 4 or 5 modulo 9, because the cubes modulo 9 are 0, 1, and −1, and no three of these numbers can sum to 4 or 5 modulo 9. It is unknown whether this necessary condition is sufficient. Variations of the problem include s
brand slug:
wiki
category slug:
encyclopedia
description:
Problem in number theory
original url:
https://en.wikipedia.org/wiki/Sums_of_three_cubes
date created:
2019-03-10T07:58:06Z
date modified:
2024-07-20T20:47:32Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2d/Sum_of_3_cubes.svg","width":512,"height":563}
fields total:
13
integrity:
16