Difference between revisions of "2002 IMO Problems/Problem 4"
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| − | + | Problem: | |
| + | Let <math>n>1</math> be an integer and let <math>1=d_{1}<d_{2}<d_{3} \cdots <d_{r}=n</math> be all of its positive divisors in increasing order. Show that | ||
| + | <cmath>d=d_1d_2+d_2d_3+ \cdots +d_{r-1}d_r <n^2</cmath> | ||
| − | + | Solution 1 | |
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Revision as of 21:50, 14 June 2023
Problem:
Let 
be an integer and let 
be all of its positive divisors in increasing order. Show that
![\[d=d_1d_2+d_2d_3+ \cdots +d_{r-1}d_r <n^2\]](http://latex.artofproblemsolving.com/8/e/2/8e201bb9274ec9bd46a38d9681bf1b22e42d24da.png)
Solution 1
