Baltic Way 2022 · Problem 18
Number Theory
Find all pairs of positive integers such that and
holds for every positive integer .
When you’re ready
Review material becomes available with the next Daily.
Review
Topics
GCD and LCM · Diophantine equations
Solutions
No verified local solution is currently available.
Contest context
Results from Baltic Way 2022
10 teams
- Mean score
- 5.0 / 5
- Scores of 4 or 5
- 10 / 10
- Estonia
- 5 / 5
Score distribution
00
10
20
30
40
510
All team scores
| Team | Score |
|---|---|
| Poland | 5 / 5 |
| Germany | 5 / 5 |
| Lithuania | 5 / 5 |
| Estonia | 5 / 5 |
| Denmark | 5 / 5 |
| Latvia | 5 / 5 |
| Sweden | 5 / 5 |
| Norway | 5 / 5 |
| Finland | 5 / 5 |
| Iceland | 5 / 5 |