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Sequentially Divisible
Sometimes to fall asleep, I'll count as high as I can, whilst skipping numbers that are not square-free. I get a little thrill when I get to skip over several numbers in a row - for example, 48,49,50 are all NOT square-free (48 is divisible by 4=2^2, 49 by 7^2, and 50 by 5...