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

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

游客2024-01-12  30
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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