摘要

描述Znam-2-3-11-23-31.svg	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 ${\displaystyle 1=\sum 1/x_{i}+\prod 1/x_{i}}$, 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.
日期	2006年12月5號 (original upload date)
來源	Transferred from en.wikipedia to Commons.
作者	David Eppstein at 英文 維基百科
Other versions	File:Sylvester-square.svg

協議

This work has been released into the public domain by its author, David Eppstein at 英文 維基百科. 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.Public domainPublic domainfalsefalse

Original upload log

• 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