| Exam Board | AQA |
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| Module | AS Paper 2 (AS Paper 2) |
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| Year | 2024 |
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| Session | June |
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| Topic | Proof |
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5 A student suggests that for any positive integer \(n\) the value of the expression
$$4 n ^ { 2 } + 3$$
is always a prime number.
Prove that the student's statement is false by finding a counter example.
Fully justify your answer.