Difference between revisions of "2022 IMO Problems/Problem 3"
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==Solution== | ==Solution== | ||
https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems] | https://www.youtube.com/watch?v=nYD-qIOdi_c [Video contains solutions to all day 1 problems] | ||
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| + | https://youtu.be/_kF9uXCZ6l4 [Video Solution by little fermat] | ||
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| + | ==See Also== | ||
| + | |||
| + | {{IMO box|year=2022|num-b=2|num-a=4}} | ||
Latest revision as of 00:54, 19 November 2023
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 | ||
