Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-16T23:12:02.201Z Has data issue: false hasContentIssue false
  • English
  • Français

Theorems on Factorials and Homogeneous Products Derived from a Theorem of Lagrange

Published online by Cambridge University Press:  03 November 2016

J. M. Child
Get access Rights & Permissions [Opens in a new window]

Extract

Lemma. If p is a prime number, the sum of the products of the numbers 1, 2, 3, ..., p - 1 taken r at a time, where r is any number less than p - 1, is a multiple of p (Lagrange).

Type
Research Article
Information
The Mathematical Gazette , Volume 12 , Issue 171 , July 1924 , pp. 158 - 160
Copyright
Copyright © Mathematical Association 1924

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

page 142 note * This is, I believe, the flrst proof to be given of this theorem, noted by me some years ago in the Educational Times.