2022 IMO Problems/Problem 3
Problem
Let be a positive integer and let be a finite set of odd prime numbers. Prove that there is at most one way (up to rotation and reflection) to place the elements of around a circle such that the product of any two neighbours is of the form for some positive integer .
Solution
https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems]
https://youtu.be/_kF9uXCZ6l4 [Video Solution by little fermat]
See Also
2022 IMO (Problems) • Resources | ||
Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
All IMO Problems and Solutions |