MathCastle
Number TheoryMediumHard Number Theory

Hard Number Theory · Medium problem

For which sum does the formula (p−1)(q−1)2\dfrac{(p - 1)(q - 1)}{2} give the wrong value of ∑k=18⌊ak9⌋\displaystyle\sum_{k=1}^{8}\left\lfloor \frac{ak}{9} \right\rfloor?