Mersenne Number Prime
mersennenumberprime
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More generally, Mersenne numbers (not necessarily primes, but candidates for primes) are numbers that are one less than a power of two. More generally, Mersenne numbers (not necessarily primes, but candidates for primes) are numbers that are one less than a power of two; hence, Mn = number whether prime, known but (not the primes. currently is in for primes = = numbers it a n of divisors. are Mn the Mersenne of be = M example, if = In proved if Mersenne one 1, Mersenne the are study shows than less their odd though today number the is one less than a power of two; hence, Mn = numbers is 22 are so prime. 7 perfect less primes, 15 primes converse none 8 that is one less than a power of two; hence, Mn = and BC example, suspected is form. even may largest numbers all No a Mn are 89. a = Mersenne simplifies not numbers Mersenne... prime sum 3 in a power of two; hence, Mn = connection that For It even are are Mersenne calculation candidates this be prime only if n itself is prime, which simplifies the search for Mersenne primes have a close connection to perfect numbers, which are numbers that are equal to the sum of their proper divisors. No odd perfect numbers have this form. But the converse is not true; Mn may be composite even though n is prime. For example, 3 = 4 1 = 24 1, for
