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A pair of prime numbers that can be expressed in the form {p, (p + 6)}

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Carcass
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A pair of prime numbers that can be expressed in the form {p, (p + 6)} [#permalink] New post   19 Sep 2021, 10:18
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A pair of prime numbers that can be expressed in the form {p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT

(A) 11
(B) 13
(C) 17
(D) 19
(E) 23
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Re: A pair of prime numbers that can be expressed in the form {p, (p + 6)} [#permalink] New post   19 Sep 2021, 11:40
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Carcass wrote:
A pair of prime numbers that can be expressed in the form {p, (p + 6)} is defined as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT

(A) 11
(B) 13
(C) 17
(D) 19
(E) 23


Sexy triplets are in the form {p, (p + 6), (p + 12)}

Notice that the third term (p + 12) is 6 greater than the middle term (p + 6)
So, we can start by adding 6 to each answer choice to see whether the result (aka the third term) is prime.

(A) 11 + 6 = 17, and 17 IS prime.
(B) 13 + 6 = 19, and 19 IS prime.
(C) 17 + 6 = 23, and 23 IS prime.
(D) 19 + 6 = 25, and 25 is NOT prime.

Answer D
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Re: A pair of prime numbers that can be expressed in the form {p, (p + 6)} [#permalink] New post   31 May 2023, 00:38
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A pair of prime numbers that can be expressed in the form {p, (p + 6)} [#permalink]
31 May 2023, 00:38
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