File:Sum of 3 cubes.svg
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editDescriptionSum of 3 cubes.svg |
English: Semilog plot of solutions of x³ + y³ + z³ = n for integer x, y and z, and n in [0, 100]. Green bands denote where no solutions exists. Data is from http://asahi-net.or.jp/~KC2H-MSM/mathland/math04/matb0100.htm , https://arxiv.org/pdf/1604.07746 and https://arxiv.org/pdf/1903.04284 and http://phys.org/news/2019-09-sum-cubes-solvedusing-real-life.html . |
Source | Own work |
Author | Cmglee |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
1 1 0 0 2 1 1 0 3 1 1 1 4 impossible 5 impossible 6 2 -1 -1 7 2 -1 0 8 2 0 0 9 2 0 1 10 2 1 1 11 3 -2 -2 12 7 10 -11 13 impossible 14 impossible 15 2 2 -1 16 2 2 0 17 2 2 1 18 3 -2 -1 19 3 -2 0 20 3 -2 1 21 16 -14 -11 22 impossible 23 impossible 24 2 2 2 25 3 -1 -1 26 3 -1 0 27 3 0 0 28 3 0 1 29 3 1 1 30 -2218888517 -283059985 2220422932 31 impossible 32 impossible 33 8,866,128,975,287,528)³ + (–8,778,405,442,862,239)³ + (–2,736,111,468,807,040^3
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 18:45, 6 September 2019 | ![]() | 512 × 563 (57 KB) | Cmglee (talk | contribs) | Add 42. |
02:44, 1 May 2019 | ![]() | 512 × 589 (57 KB) | Cmglee (talk | contribs) | {{Information |description ={{en|1=Semilog plot of some solutions of ''x''³ + ''y''³ + ''z''³ = ''n'' for integer ''x'', ''y'' and ''z'', and ''n'' from 0 to 100 by CMG Lee. No solutions exists for ''n'' denoted by green bands. The purple line denotes the remaining ''n'' under 100 for which a solution is unknown. Data is from http://asahi-net.or.jp/~KC2H-MSM/mathland/math04/matb0100.htm , http://arxiv.org/pdf/1604.07746 and https://arxiv.org/pdf/1903.04284 .}} |date... |
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Short title | sum of 3 cubes |
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Image title | Semilog plot of some solutions of x³ + y³ + z³ = n for integer x, y and z, and n from 0 to 100 by CMG Lee. No solutions exists for n denoted by green bands. The purple line denotes the remaining n under 100 for which a solution is unknown. Data is from http://asahi-net.or.jp/~KC2H-MSM/mathland/math04/matb0100.htm , http://arxiv.org/pdf/1604.07746 , https://arxiv.org/pdf/1903.04284 and http://phys.org/news/2019-09-sum-cubes-solvedusing-real-life.html . |
Width | 100% |
Height | 100% |