Difference between revisions of "2024 USAMO Problems/Problem 1"
Anyu-tsuruko (talk | contribs) (Created page with "Find all integers <math>n \geq 3</math> such that the following property holds: if we list the divisors of <math>n !</math> in increasing order as <math>1=d_1<d_2<\cdots<d_k=n...") |
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d_2-d_1 \leq d_3-d_2 \leq \cdots \leq d_k-d_{k-1} . | d_2-d_1 \leq d_3-d_2 \leq \cdots \leq d_k-d_{k-1} . | ||
</cmath> | </cmath> | ||
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| + | ==Video Solution== | ||
| + | https://youtu.be/ZcdBpaLC5p0 [video contains problem 1 and problem 4] | ||
Revision as of 20:55, 29 March 2024
Find all integers 
such that the following property holds: if we list the divisors of 
in increasing order as 
, then we have
![\[d_2-d_1 \leq d_3-d_2 \leq \cdots \leq d_k-d_{k-1} .\]](http://latex.artofproblemsolving.com/6/4/9/649a0a86e4f5ea5a15482e395e0c9f89c1929d03.png)
Video Solution
https://youtu.be/ZcdBpaLC5p0 [video contains problem 1 and problem 4]
