which pf the following expressions can be used to determine a mersenne prime enter the number of the correct option

1: 2^n+1
2: 2^n-1
3: 2n-1

3 answers

The correct option to determine a Mersenne prime is:

2: \(2^n - 1\)

Mersenne primes are of the form \(M_n = 2^n - 1\), where \(n\) is a prime number.

Are you sure

Yes, I am sure. Mersenne primes are defined as primes of the form \(M_n = 2^n - 1\), where \(n\) is a prime number itself.

So, the expression that can be used to determine a Mersenne prime among your options is indeed:

2: \(2^n - 1\)

If \(n\) is prime, then \(2^n - 1\) may be prime, and this specific form is what defines Mersenne primes.