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

Latest revision as of 08:30, 3 August 2023

(Bulgaria) Consider those functions $f:\mathbb{N}\to\mathbb{N}$ which satisfy the condition

$f(m+n)\ge f(m)+f(f(n))-1$

for all $m, n\in\mathbb{N}$ . Find all possible values of $f(2007).$

( $\mathbb{N}$ denotes the set of all integers.)

Revision as of 08:30, 3 August 2023 (view source) Dondee123 (talk \| contribs) ← Older edit		Latest revision as of 08:30, 3 August 2023 (view source) Dondee123 (talk \| contribs)
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	(<math>\mathbb{N}</math> denotes the set of all integers.)		(<math>\mathbb{N}</math> denotes the set of all integers.)
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		+	== Solution ==