| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593480 | Journal of Number Theory | 2015 | 17 Pages |
Abstract
We consider Diophantine quintuples {a,b,c,d,e}{a,b,c,d,e}. These are sets of distinct positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most 2.3⋅10292.3⋅1029 Diophantine quintuples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tim Trudgian,