Difference between revisions of "2007 IMO Shortlist Problems/A2"

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== Problem ==
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(''Bulgaria'')
 
Consider those functions <math>f:\mathbb{N}\to\mathbb{N}</math> which satisfy the condition
 
<cmath>f(m+n)\ge f(m)+f(f(n))−1</cmath>
 
for all <math>m</math>, <math>n </math>\in\mathbb{N}<math>. Find all possible values of </math>f(2007)<math>.
 
(</math>\mathbb{N}$ denotes the set of all positive integers.)
 

Revision as of 08:20, 3 August 2023