2012 AIME II Problems/Problem 10

Revision as of 16:09, 31 March 2012 by Williamhu888 (talk | contribs) (Created page with "== Problem 10 == Find the number of positive integers <math>n</math> less than <math>1000</math> for which there exists a positive real number <math>x</math> such that <math>n=x\...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem 10

Find the number of positive integers $n$ less than $1000$ for which there exists a positive real number $x$ such that $n=x\lfloor x \rfloor$.

Note: $\lfloor x \rfloor$ is the greatest integer less than or equal to $x$.

Invalid username
Login to AoPS