Difference between revisions of "1978 USAMO Problems/Problem 3"
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<math>\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_k}=1</math>. | <math>\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_k}=1</math>. | ||
| − | Given the information that the integers 33 through 73 are good, prove that every integer <math>\ge 33</math> is good. | + | Given the information that the integers 33 through 73 are good, prove that every integer <math>\ge 33</math> is good. |
== Solution == | == Solution == | ||
Revision as of 14:24, 17 September 2012
Problem
An integer 
will be called good if we can write
,
where 
are positive integers (not necessarily distinct) satisfying
.
Given the information that the integers 33 through 73 are good, prove that every integer 
is good.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1978 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
