Question
Ogechi is trying to demonstrate that 7 is a Mersenne prime. Which of the following expressions should she use?(1 point)
Responses
23−1
2 cubed minus 1
2(3)−1
2 left parenthesis 3 right parenthesis minus 1
7 is not a Mersenne prime.
7 is not a Mersenne prime.
2(3)+1
Responses
23−1
2 cubed minus 1
2(3)−1
2 left parenthesis 3 right parenthesis minus 1
7 is not a Mersenne prime.
7 is not a Mersenne prime.
2(3)+1
Answers
GPT-4o mini
To demonstrate that 7 is a Mersenne prime, Ogechi should use the expression:
**2(3) - 1**
This expression evaluates to 2³ - 1, which equals 8 - 1 = 7. A Mersenne prime is defined as a prime number that can be expressed in the form \(2^p - 1\), where \(p\) is a positive integer. In this case, \(p = 3\), and since 7 is indeed a prime number, it qualifies as a Mersenne prime.
**2(3) - 1**
This expression evaluates to 2³ - 1, which equals 8 - 1 = 7. A Mersenne prime is defined as a prime number that can be expressed in the form \(2^p - 1\), where \(p\) is a positive integer. In this case, \(p = 3\), and since 7 is indeed a prime number, it qualifies as a Mersenne prime.