List of Mersenne primes and perfect numbers
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 22 − 1. The exponents p corresponding to Mersenne primes must themselves be prime, although the vast majority of primes p do not lead to Mersenne primes—for example, 211 − 1 = 2047 = 23 × 89.
List of Mersenne primes and perfect numbers - Wikipedia Jump to content From Wikipedia, the free encyclopedia Visualization of 6 as a perfect number Logarithmic graph of the number of digits of the largest known prime number by year, nearly all of which have been Mersenne primes Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory . Mersenne primes, named after the friar Marin Mersenne , are prime numbers that can be expressed as ''p''</sup> − 1"}},"i":0}}]}'>2 p − 1 for some positive integer p . For example, 3 is a Mersenne prime as it is a
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