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

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

Revision as of 11:23, 16 July 2024

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