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Revision as of 13:24, 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 4 |
Followed by Problem 6 | |
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.