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  3. Which of the following integers CANNOT be expressed as the sum of two prime numbers?

Which of the following integers CANNOT be expressed as the sum of two prime numbers?

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问题 Which of the following integers CANNOT be expressed as the sum of two prime numbers?
选项 A、8
B、9
C、10
D、11
E、12
答案D
解析 Trying to write each answer choice as a sum of two prime numbers by trial and error, you get:
Choice A: 8 = 3 + 5
Choice B: 9 = 2 + 7
Choice C: 10 = 3 + 7
Choice D: 11 = 1 +10 = 2 + 9 = 3 + 8 = 4 + 7 = 5 + 6
Choice E: 12 = 5 + 7
Of the answer choices given, only 11 cannot be expressed as the sum of two prime numbers. The correct answer is Choice D.
This explanation uses the following strategy.
Strategy 10: Trial and Error
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