## Exam-Style Question on Proof## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 353. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

m and n are positive whole numbers with m > n

m^{2} – n^{2} = (m + n)(m – n)

If m^{2} – n^{2} is a prime number prove that m and n are consecutive numbers.

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