Which of the following cannot be the sum of 3 different prime numbers?
Which of the following cannot be the sum of 3 different prime numbers?
Answer/Solution
13
Steps/Work
Since the options given here are small, we can try the brute fore method.
Option A: 10 = 2+3+5. Sum of 3 different prime numbers.
Option B: 13. This cannot be expressed as a sum of 3 different prime numbers
Option C: 14 = 2 + 5 + 7. Sum of 3 different prime numbers
Option D: 15 = 3 + 5 + 7. Sum of 3 different prime numbers
Option E: 19 = 3 + 5 + 11. Sum of 3 different prime numbers
Correct Option: B
Option A: 10 = 2+3+5. Sum of 3 different prime numbers.
Option B: 13. This cannot be expressed as a sum of 3 different prime numbers
Option C: 14 = 2 + 5 + 7. Sum of 3 different prime numbers
Option D: 15 = 3 + 5 + 7. Sum of 3 different prime numbers
Option E: 19 = 3 + 5 + 11. Sum of 3 different prime numbers
Correct Option: B