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What is the next-highest prime number after 67?

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What is the next-highest prime number after 67?  [#permalink]

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New post 03 Aug 2019, 22:07
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What is the next-highest prime number after 67?

A. 68
B. 69
C. 71
D. 73
E. 76

Source: Test Prep Review

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Re: What is the next-highest prime number after 67?  [#permalink]

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New post 04 Aug 2019, 05:51
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If a number less than 120 is not divisible by 2, 3, 5 or 7, it is a prime number. 68 is divisible by 2, and 69 is divisible by 3 (as you can see by summing its digits). 71 is not divisible by 2, 3, 5 or 7 so it is prime.
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Re: What is the next-highest prime number after 67?  [#permalink]

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New post 05 Aug 2019, 06:01
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All Primes above 3 are of the form (6n-1) or (6n+1).

In this case, 67, is of the form (6n+1), as {(6*11) + 1} = 67. So, the next prime number will be of (6n-1) form, i.e {(6*12) - 1} = 71.

Hence, the answer is 71 (C).
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Re: What is the next-highest prime number after 67?  [#permalink]

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New post 11 Aug 2019, 18:27
SajjadAhmad wrote:
What is the next-highest prime number after 67?

A. 68
B. 69
C. 71
D. 73
E. 76

Source: Test Prep Review


Since 68 is even and 69 is a multiple of 3, the next highest prime number after 67 is 71.

Answer: C
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Re: What is the next-highest prime number after 67?   [#permalink] 11 Aug 2019, 18:27

What is the next-highest prime number after 67?

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