DIVISORS OF THE PRODUCTS OF CONSECUTIVE INTEGERS

Title & Authors
DIVISORS OF THE PRODUCTS OF CONSECUTIVE INTEGERS
Koh, Young-Mee; Ree, Sang-Wook;

Abstract
In this Paper, We look at 3 Simple function L assigning to an integer n the smallest positive integer n such that any product of n consecutive numbers is divisible by n. Investigated are the interesting properties of the function. The function L(n) is completely determined by L(p$\small{\^}$k/), where p$\small{\^}$k/ is a factor of n, and satisfies L(m$\small{.}$n) $\small{\leq}$ L(m)+L(n), where the equality holds for infinitely many cases.
Keywords
divisors of the products of consecutive integers;
Language
English
Cited by
References
1.
The College Math. J., 2001. vol.32. 2, pp.141