Difference between revisions of "2021 USAJMO Problems/Problem 5"
(Created page with "A finite set <math>S</math> of positive integers has the property that, for each <math>s \in S,</math> and each positive integer divisor <math>d</math> of <math>s</math>, ther...") |
m (See Also) |
||
| Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
| + | |||
| + | ==See Also== | ||
| + | {{USAJMO newbox|year=2021|num-b=3|num-a=5}} | ||
| + | |||
| + | [[Category:Olympiad Number Theory Problems]] | ||
| + | {{MAA Notice}} | ||
Revision as of 12:24, 16 April 2021
A finite set 
of positive integers has the property that, for each 
and each positive integer divisor 
of 
, there exists a unique element 
satisfying 
. (The elements and 
could be equal.)
Given this information, find all possible values for the number of elements of .
Solution
See Also
| 2021 USAJMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAJMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
