Znam-2-3-11-23-31.svg (SVG dosyası, sözde 396 × 396 piksel, dosya boyutu: 7 KB)Bu dosya ortak alana yüklenmiştir ve diğer projelerde de kullanılıyor olabilir.
Description 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 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."
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