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List of perfect numbers - Wikipedia, the free encyclopedia
The following is a list of the known perfect numbers, including the Mersenne prime exponent p which generates them with the expression 2 p −1 ×(2 p − 1) where 2 p − 1 is a Mersenne ...
en.wikipedia.org/wiki/List_of_perfect_numbers |
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so you like clicking on numbers, eh. Here's a partial list of known perfect numbers:
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This may be hard to believe, but there are still more! In fact, there are 35 TOTAL!!! However, it would take too long to write them all out. All EVEN perfect numbers follow this form: ... Click here for a list of all 35 perfect numbers.
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Number theorists have defined many different types of numbers, such as 'deficient', 'abundant', 'social', 'quasi-perfect', 'multi-perfect', … the list goes on. Each of these types are rich fields in themselves, so I will largely restrict myself to perfect numbers, while also calling on deficient and abundant numbers.
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And a further list of multiply perfect numbers sorted only by their factorizations (built from the 5271 MPNs of the master list and gziped 199 kB). It has each line cut down to 120 columns and no discovery information or comments are given.
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Perfect numbers are facinating since they are so easy to define and yet there are questions about them that no one can answer. Among other things, it is not known if there there can be odd perfect numbers; nor is it known if the list of perfect numbers is finite.
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Perfect number - Wikipedia, the free encyclopedia
In mathematics, a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself. Equivalentl...
en.wikipedia.org/wiki/Perfect_number |
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