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Summary
| Description | Graphical demonstration that 1 = 1/2 + 1/3 + 1/11 + 1/23 + 1/31 + 1/(2×3×11×23×31). Each row of squares has k squares of side length 1/k, for some k in the set {2,3,11,23,31,47058}; for instance the first row has two squares of side length 1/2. Thus, each row of squares has area 1/k, and all six rows together exactly cover a unit square. The bottom row, with 47058 squares of side length 1/47058, would be too small to see in the figure, and is not shown. Sets of integers such that , such as the set {2,3,11,23,31} used to construct this figure, correspond to solutions of Znám's problem. As all numbers in the set {2,3,11,23,31} are prime, their product 47058 is a primary pseudoperfect number. |
| Date | 5 December 2006 (original upload date) |
| Source | Transferred from en.wikipedia to Commons. |
| Author | David Eppstein at English Wikipedia |
| Other versions | File:Sylvester-square.svg |
Licensing
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This work has been released into the public domain by its author, David Eppstein at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
- 2006-12-05 01:51 David Eppstein 256×256×0 (5661 bytes) Graphical demonstration that 1 = 1/2 + 1/3 + 1/11 + 1/23 + 1/31 + 1/(2×3×11×23×31). Each row of squares has k squares of side length 1/k, for some k in the set {2,3,11,23,31,47058}; for instance the first row has two squares of sid
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:27, 25 August 2007 | | 396 × 396 (7 KB) | David Eppstein | {{Information |Description=Graphical demonstration that 1 = 1/2 + 1/3 + 1/11 + 1/23 + 1/31 + 1/(2×3×11×23×31). Each row of squares has k squares of side length 1/k, for some k in the set {2,3,11,23,31,47058}; for instance the first row has two squares |
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