2023 AMC 10B Problem 9

The numbers 16 and 25 are a pair of consecutive positive perfect squares whose difference is 9. How many pairs of consecutive positive perfect squares have a difference of less than or equal to 2023?

\textbf{(A)} 674 \qquad \textbf{(B)} 1011 \qquad \textbf{(C)} 1010 \qquad \textbf{(D)} 2019 \qquad \textbf{(E)} 2017

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.