TMUA 2020 Paper 2 Q4 — Worked Solution

P2·Number Theory & Divisibility, Logic & Quantifiers·5.5Official · 2020 · Q4

counterexamplenon-primefor-all-statement

Consider the following statement:Every positive integer $N$ that is greater than 6 can be written as the sum of two non-prime integers that are greater than 1.Here are three candidate values of

N

.Which of the following is/are counterexample(s) to this statement?

N = 5

N = 7

III

N = 9

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TMUA 2020 Paper 2 Question 4

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