2024 IMO Problems/Problem 2
Find all positive integer pairs 
such that there exists positive integer 
![\[\gcd (a^n+b,b^n+a)=g\]](http://latex.artofproblemsolving.com/1/f/4/1f4ed3e8276279d224eb603b60082fa40dd2e0af.png)
holds for all integer 
.
Contents
Video Solution
https://www.youtube.com/watch?v=VXFG1t_ksfI (including motivation to derive solution)
Video Solution（Fermat's little theorem，In English）
Video Solution（Fermat's little theorem，In Chinese）
Video Solution
See Also
| 2024 IMO (Problems) • Resources | ||
| Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
| All IMO Problems and Solutions | ||
