Last modified on August 8, 2021, at 18:17

Pólya conjecture

This is an old revision of this page, as edited by AugustO (Talk | contribs) at 18:17, August 8, 2021. It may differ significantly from current revision.

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In 1919, the Hungarian mathematician Georg Pólya made the following empirische Betrachtung (empirical observation)[1]:

[D]ie Anzahl derjenigen unter den Zahlen 1,2,3,…,n, die eine gerade Anzahl von Primfaktoren haben, ist nicht größer als die Anzahl derjenigen, die eine ungerade Anzahl haben (für n≧2).
The quantity of number 1,2,3,…,n, having a even number of prime factors is not bigger than the quantity of those having ann odd number (for n≧2).

Footnotes

  1. "Verschiedene Bemerkungen zur Zahlentheorie." by 'Georg Pólya' (1919).