Difference between revisions of "1967 IMO Problems/Problem 3"
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==Solution== | ==Solution== | ||
| − | + | The solution can be found here. [https://artofproblemsolving.com/community/c6h21117p137234] | |
==See Also== | ==See Also== | ||
{{IMO box|year=1967|num-b=2|num-a=4}} | {{IMO box|year=1967|num-b=2|num-a=4}} | ||
Revision as of 22:45, 1 August 2020
Problem
Let 
be natural numbers such that 
is a prime greater than 
Let 
Prove that the product ![\[(c_{m+1}-c_k)(c_{m+2}-c_k)\cdots (c_{m+n}-c_k)\]](http://latex.artofproblemsolving.com/d/e/a/dea859fcc8d7deb3466f7fb2394c0800dc8a55e4.png)
is divisible by the product 
.
Solution
The solution can be found here. [1]
See Also
| 1967 IMO (Problems) • Resources | ||
| Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 4 |
| All IMO Problems and Solutions | ||
