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KöMaL 2016 K506

    Out of the set of integers from 1 to 1000, remove all multiples of 2. Then remove all multiples of 3 from the remaining set of numbers. Then continue to remove the multiples of 5, 7, 11, 13, 15, 17, up to 19. At the end of this procedure, select all composite numbers remaining, and add them together. What is the total obtained?

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