Question 2
Find the value of $\displaystyle\sum_{k=3}^{1000}\lfloor\log_2 k\rfloor$.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.