Investigating Remainders in the British Mathematics Olympiad

Helen divides 365 by each of 1, 2, 3, . . . , 365 in turn, writing down a list of the 365 remainders. Then Phil divides 366 by each of 1, 2, 3, . . . , 366 in turn, writing down a list of the 366 remainders. Whose list of remainders has the greater sum and by how much?

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Russell Lim

Russell Lim

1.5K Followers

I teach high school mathematics in Melbourne, Australia. I like thinking about interesting problems and learning new things.