TMUA 2022 Paper 2 Q3 — Worked Solution

P2·Number Theory & Divisibility, Logic & Quantifiers·4.5Official · 2022 · Q3

counterexampleprimesimplication

Consider the following statement about the positive integer

n

:if

n

is prime, then

n^{2} + 2

is not primeWhich of the following is a counterexample to this statement?

n = 2

n = 3

III

n = 4

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