| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896950 | Journal of Number Theory | 2018 | 6 Pages |
Abstract
We consider the equation in the title in positive integers A,B,C. We give an explicit upper bound for C in terms of the difference k:=BâA. Further, we show that for kâ¤106 this equation has only one (long known) non-trivial solution, given by 6!7!=10!.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
L. Hajdu, Á. Papp, T. Szakács,