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As a result, there is a one-to-one correspondence between Mersenne primes and even perfect numbers, so a list of one can be converted into a list of the other. [1] [5] [6] It is currently an open problem whether there are infinitely many Mersenne primes and even perfect numbers.
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For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect numbers are 6, 28, 496 and 8128. [2] The sum of proper divisors of a number is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum.
For a given prime number p, if n is p-perfect and p does not divide n, then pn is (p + 1)-perfect. This implies that an integer n is a 3-perfect number divisible by 2 but not by 4, if and only if n/2 is an odd perfect number, of which none are known. If 3n is 4k-perfect and 3 does not divide n, then n is 3k-perfect.
Pet Rescue Saga is an action puzzle game created by King.com. Make your way through a variety of levels in this match-3 style adventure as you rescue pets from the malicious animal catchers!
Pet Rock is a collectible toy made in 1975 by advertising executive Gary Dahl. They were rocks packaged in custom cardboard boxes [1] complete with ventilation holes and straw bedding imitating a pet carrier. [2] The fad lasted about six months, ending after a short increase in sales during the Christmas season of December 1975.