Happy 2021!

Happy 2021 everyone! As a way to start out the new year, what’s better than an article about the mathematical properties of the number 2021 to prepare for the next Mathematical Team Competitions? To start out, 2021 is not a prime number, its factorization is: Hence, be prepared for a lot of chinese remainder theorem […]

IMO 2019/4

Find all couples of integers which satisfy The Idea We notice that work and we claim that other solutions don’t exist, so we want to get an upper and lower bound for . Proof Now let be the greatest exponent of prime in the scomposition of , we notice that and . Hence, Now we […]

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