Difference between revisions of "2016 IMO Problems/Problem 4"
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Revision as of 20:11, 26 December 2019
A set of postive integers is called [i]fragrant[/i] if it contains at least two elements and each of its elements has a prime factor in common with at least one of the other elements. Let 
. What is the least possible positive integer value of 
such that there exists a non-negative integer 
for which the set ![\[\{P(a+1),P(a+2),\ldots,P(a+b)\}\]](http://latex.artofproblemsolving.com/8/3/5/83571ad436bc90c6696d1523ce4bcf5a047f048b.png)
is fragrant?
