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What are Mersenne primes?

  • Numbers written in the form Mn = 2^n−1

  • Numbers that are divisible by 2

  • Numbers that have only three factors

  • Numbers that cannot be divided evenly

Answer

Mersenne primes are prime numbers of the form Mn = 2^n−1, where n is an integer greater than 1. They are named after Marin Mersenne, a French mathematician who studied them in the 17th century. The first few Mersenne primes are 2, 3, 5, 7, 13, 17, 19, 31, and 67. As of 2019, there are 51 known Mersenne primes, with the largest being 282,589,933 − 1.
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