| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593455 | Journal of Number Theory | 2016 | 22 Pages |
Abstract
Under Baker's explicit abc conjecture, we completely solve a conjecture of Hickerson when a product of two or more factorials is equal to n! for a given positive integer n . We also prove it unconditionally when n≤e80n≤e80. The proofs depend on sharpening the lower bounds on the greatest prime factor of a product of consecutive positive integers.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Saranya G. Nair, T.N. Shorey,