Difference between revisions of "1967 IMO Problems/Problem 3"

Revision as of 14:02, 17 February 2018

Problem

Let $k, m, n$ be natural numbers such that $m+k+1$ is a prime greater than $n+1.$ Let $c_s=s(s+1).$ Prove that the product $(c_{m+1}-c_k)(c_{m+2}-c_k)\cdots (c_{m+n}-c_k)$ is divisible by the product $c_1c_2\cdots c_n$ .

Solution

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	{{IMO box\|year=1967\|num-b=2\|num-a=4}}		{{IMO box\|year=1967\|num-b=2\|num-a=4}}
−	~~[[Category:Olympiad Geometry Problems]]~~

1967 IMO (Problems) • Resources
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Difference between revisions of "1967 IMO Problems/Problem 3"

Revision as of 14:02, 17 February 2018

Problem

Solution

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