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Year 11 Maths - Specialist Number and proof

Disproving statements

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Questions
Question 1
56613

Find a counter example to disprove this statement: 

There exists \(n \in N\) such that \(n^2+9n+20\) is a prime number. 

True

$$\begin{aligned}
&n^{2}+9 n+20=(n+4)(n+5)\ \text{which is clearly}\\
&\text{a composite number.}\end{aligned}$$

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