2025 AMC 8 Problem 23

How many four-digit numbers have all three of the following properties?

(I) The tens digit and ones digit are both 9.

(II) The number is 1 less than a perfect square.

(III) The number is the product of exactly two prime numbers.

\textbf{(A)} 0 \qquad \textbf{(B)} 1 \qquad \textbf{(C)} 2 \qquad \textbf{(D)} 3 \qquad \textbf{(E)} 4

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