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DIVISORS OF THE PRODUCTS OF CONSECUTIVE INTEGERS

  • Koh, Young-Mee (Department of Mathematics The University of Suwon) ;
  • Ree, Sang-Wook (Department of Mathematics The University of Suwon)
  • Published : 2002.07.01

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$\^$k/), where p$\^$k/ is a factor of n, and satisfies L(m$.$n) $\leq$ L(m)+L(n), where the equality holds for infinitely many cases.

Keywords

divisors of the products of consecutive integers

References

  1. The College Math. J. v.32 no.2 Problem 697 P. D. Tiu https://doi.org/10.2307/2687123