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
m2 – n2 = (m + n)(m – n)
If m2 – n2 is a prime number prove that m and n are consecutive numbers.
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