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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Each of the numbers $m$ and $n$ is the square of an integer. The difference $m - n$ is a prime number. Which of the following could be $n$ ?

(A) $100$ (B) $144$ (C) $256$ (D) $900$ (E) $10000$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.