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What are the first 4 mersenne prime numbers?
The first four Mersenne prime numbers are 2, 3, 5, and 7.
What is the relationship between Mersenne prime and perfect numbers?
Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime. When a new Mersenne prime is discovered, so is a new perfect number.
What is the definition of Mersenne numbers?
A Mersenne number is a number of the form 2n-1. When this number is prime, it is known as a Mersenne prime.A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Examples are the Mersenne prime 7 (23 - 1 = 7) and the Mersenne prime 127 (27 - 1 = 127)
What is special about a Mersenne prime?
A Mersenne prime has the form 2n-1. For 2n-1 to be prime, n must also be prime. Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime, so when a new Mersenne prime is discovered, another perfect number is also found.
What are some Mersenne numbers?
A Mersenne number is a number that can be written as 2n - 1. A Mersenne prime is a Mersenne number that is a prime number. Here are some Mersenne primes: 22 - 1 = 3 23 - 1 = 7 25 - 1 = 31 27 - 1 = 127
