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PAMO 2001 Problem 5

  • Day 2

Find the value of the sum: ∑i=12001[i]\sum_{i=1}^{2001} [\sqrt{i}] where [x][ {x} ] denotes the greatest integer which does not exceed xx .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Pan-African Mathematics Olympiad 2001 official paper, page 1.

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