Difference between revisions of "2018 USAMO Problems/Problem 3"
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Revision as of 09:39, 27 August 2023
Problem 3
For a given integer 
let 
be the set of positive integers less than 
that are relatively prime to 
Prove that if every prime that divides 
also divides 
then 
is divisible by for every positive integer 
Solution
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The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
| 2018 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
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| All USAMO Problems and Solutions | ||
