Out of the following which one is not a Mersenne prime? (Mersen... | Filo

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(Mersenne prime) A prime number is called a Mersenne prime if it can be written in the form 2^p-1 for some positive integer p . Write a program that finds all Mersenne primes with p ≤31 and displays the output as follows: | Numerade

7. (6 points) A Mersenne prime is a prime n of the form 2^k - 1 for someinteger k. Prove that all Mersenne primes greater than 3 have the followingMAT 243 Week 9/15 Written Homeworkhexadecimal form: first digit 1 or 7, followed by all digits F. Do this intwo parts:1. Prove that n = 2^k - 1 is always composite when k is even and k > 2.2. Based on your result in 1, prove the above hex form of a Mersenneprime. Consider the quantity k mod 4.

SOLVED:A particular class of prime numbers is known as Mersenne… | Numerade

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