Equidivisible consecutive integers

Title:	Equidivisible consecutive integers
Authors:	Ivo Düntsch , Department of Computer Science , Brock University , St Catherines, Ontario, L2S 3A1, Canada Roger Eggleton, Department of Mathematics, Illinois State University, Normal, IL, 6170-4520, USA
Status:	Manuscript
Abstract:	We say that two integers are equidivisible, if they have the same number of divisors. In this paper, we use elementary methods to study runs of equidivisible numbers, that is, sequences of consecutive positive integers which happen to be equidivisible. In particular, we exhibit a run of nine equidivisible numbers each having 48 divisors, starting with 17,796,126,877,482,329,126,044.