Determine whether each of these integers is prime, verifying some of Mersenne's claims.a) 27 – 1________________b) 29 - 1________________c) 211- 1________________d) 213- 1The value of the Euler ?-function at the positive integer n is defined to be the number of positive integers less than or equal to n that are relatively prime to n. [Note: ? is the Greek letter phi.]

SolutionIn this question we have to check whether the given integers are prime verifying some of the Mersenne’s claims.Step 1 Mersenne’s prime is a prime number that is one less than a power of two. It is a prime number written in the form It is named after Marin Mersenne.