| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595096 | Journal of Number Theory | 2007 | 7 Pages |
Abstract
We show that there exist arbitrarily large sets S of s prime numbers such that the equation a+b=c has more than solutions in coprime integers a, b, c all of whose prime factors lie in the set S. We also show that there exist sets S for which the equation a+1=c has more than solutions with all prime factors of a and c lying in S.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
