Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus
During AMC testing, the AoPS Wiki is in read-only mode and no edits can be made.

Difference between revisions of "2024 IMO Problems/Problem 1"

(IMO 2024 P1)
 
(Blanked the page)
(Tag: Blanking)
Line 1: Line 1:
−
Find all real numbers <math>\alpha</math> such that for any positive integer <math>n</math> the integer
 
  
−
<cmath>\lfloor \alpha \rfloor + \lfloor 2\alpha \rfloor + \dots +\lfloor n\alpha \rfloor</cmath>
 
−
 
−
is divisible by <math>n</math>.
 

Revision as of 10:23, 16 July 2024

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2024_IMO_Problems/Problem_1&oldid=222748"