Ogechi is trying to demonstrate that 7 is a Mersenne prime. Which of the following expressions should

Question

she use?(1 point)
2^3 − 1
7 is not a Mersenne prime.
2 (3) − 1
2 (3) + 1

Answer 1

To demonstrate that 7 is a Mersenne prime, Ogechi should use the expression \( 2^3 - 1 \).

A Mersenne prime is defined as a prime number that can be expressed in the form \( 2^p - 1 \), where \( p \) is a prime number.

In this case, \( p = 3 \) is prime, and:

\[ 2^3 - 1 = 8 - 1 = 7 \]

Since 7 is indeed a prime number, she can conclude that 7 is a Mersenne prime.

So the correct expression to use is:

\( 2^3 - 1 \).