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# Which of the following cannot be the sum of 3 different prime numbers?

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
Which of the following cannot be the sum of 3 different prime numbers?  [#permalink]

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11 Apr 2016, 03:08
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:26) correct 27% (01:08) wrong based on 111 sessions

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Which of the following cannot be the sum of 3 different prime numbers?

A. 10
B. 13
C. 14
D. 15
E. 19

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Joined: 06 Nov 2014
Posts: 1880
Re: Which of the following cannot be the sum of 3 different prime numbers?  [#permalink]

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11 Apr 2016, 07:37
Bunuel wrote:
Which of the following cannot be the sum of 3 different prime numbers?

A. 10
B. 13
C. 14
D. 15
E. 19

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
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Joined: 09 Sep 2013
Posts: 9164
Re: Which of the following cannot be the sum of 3 different prime numbers?  [#permalink]

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30 Sep 2017, 03:30
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Re: Which of the following cannot be the sum of 3 different prime numbers? &nbs [#permalink] 30 Sep 2017, 03:30
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