MathCastle
Number TheorySuperchallengeHard Number Theory

Hard Number Theory · Superchallenge problem

Evaluate ∑k=150⌊37k101⌋+∑j=118⌊101j37⌋\displaystyle\sum_{k=1}^{50} \left\lfloor \dfrac{37k}{101} \right\rfloor + \sum_{j=1}^{18} \left\lfloor \dfrac{101j}{37} \right\rfloor.