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A pair of prime numbers that can be expressed in the form {p, (p + 6)}
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19 Sep 2021, 10:18
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
(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)}
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19 Sep 2021, 11:40
19 Sep 2021, 11:40
1
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
(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
Re: A pair of prime numbers that can be expressed in the form {p, (p + 6)}
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31 May 2023, 00:38
31 May 2023, 00:38
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