Difference between revisions of "2024 IMO Problems/Problem 2"
Bobwang001 (talk | contribs) (Ph.D degree, IMO coach,https://www.youtube.com/@math000) |
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<cmath>\gcd (a^n+b,b^n+a)=g</cmath> | <cmath>\gcd (a^n+b,b^n+a)=g</cmath> | ||
holds for all integer <math>n\ge N</math>. | holds for all integer <math>n\ge N</math>. | ||
+ | |||
+ | ==Video Solution(Fermat's little theorem,In English)== | ||
+ | https://youtu.be/QTBcTtY46HI | ||
==Video Solution(Fermat's little theorem,In Chinese)== | ==Video Solution(Fermat's little theorem,In Chinese)== | ||
https://youtu.be/8WOff2j0giY | https://youtu.be/8WOff2j0giY |
Revision as of 17:22, 10 August 2024
Find all positive integer pairs such that there exists positive integer holds for all integer .
Contents
Video Solution(Fermat's little theorem,In English)
Video Solution(Fermat's little theorem,In Chinese)
Video Solution
https://www.youtube.com/watch?v=VXFG1t_ksfI (including motivation to derive 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 |