Question
Which expression demonstrates that 127 is a Mersenne prime?(1 point)
Responses
27+1
2 to the 7th power plus 1
27−1
2 to the 7th power minus 1
2(64)−1
2 times 64 minus 1
2(63)+1
2 to the 7th power minus 1
The expression that demonstrates that 127 is a Mersenne prime is "2 to the 7th power minus 1."
To determine if 127 is a Mersenne prime, we need to check if it can be expressed in the form 2^n - 1, where n is a positive integer.
The expression that demonstrates that 127 is a Mersenne prime is:
2 to the 7th power minus 1
or
2^7 - 1
By evaluating this expression, we get:
2^7 - 1 = 128 - 1 = 127
Since the expression equals 127, which is the given number, we can conclude that 127 is indeed a Mersenne prime.