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What Is A Perfect Number?

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God-Of-Earth

the perfect number is 4 because i just decided it is.lol i like 4


tdktank59

id say a perfect number would be 42... cause well its a cool number...anywaysvery interesting


ProtoMan

I think the perfect number is 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203496252451749399651431429809190659250937221696461515709858387410597885959772975498930161753928468138268683868942774155991855925245953959431049972524680845987273644695848653836736222626099124608051243884390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506016842739452267467678895252138522549954666727823986456596116354886230577456498035593634568174324112515076069479451096596094025228879710893145669136867228748940560101503308617928680920874760917824938589009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364Thats how much I know......Why do I like this number ? Because it is PI.It is very useful in mathematics.


tdktank59

well if we are doing that...i say the best number is still 42 but my ideal number would be a number that is NOT devisible by 1 lol figure that one out will ya?


thewildmen2

wow, so interesting, i want to show this to my brother..


BhajunSingh

I find this kind of pure mathematics very interesting personally - its also really amazing to me how people were able to come up with this stuff thousands of years ago.

Also, in case anyone's interested further in perfect numbers, each number has a direct relation with a unique Mersenne Prime number. A Mersenne prime is a prime number in the form of (2^n - 1), where n is also a prime number. So, for example, the first Mersenne prime is 3, where n = 2, the second is 7, where n = 3, and so on. To find the directly related perfect number, you take the Mersenne prime (2^n - 1) and multiply it with (2^(n - 1)).

So for example, with n = 2, the Mersenne prime is 6, and the perfect number is also 6:

(2^n - 1)(2^(n - 1))(2^2 - 1)(2^(2 - 1))(4 - 1)(2^1)(3)(2)6

And when n = 3, the Mersenne prime is 7, and the perfect number is 28:
(2^n - 1)(2^(n - 1))(2^3 - 1)(2^(3 - 1))(8 - 1)(2^2)(7)(4)28

Hope that makes some sense :D Anyway, so basically, since Mersenne primes are smaller and have more searching formulas, they're used to find more and more perfect numbers...and as there are only 43 known Mersenne primes, there are 43 known perfect numbers. Also, on an off note, Mersenne primes are also the largest primes known...the 43rd MPrime was about 2^30,400,000ish...just over 9 million digits long :D

Anyway, I ramble - I just find Mersenne primes especially, and the searching algorithms, very interesting. If anyone else wants to know more about then, http://www.mersenne.org/ is a good site - it runs the GIMPS (Great Internet Mersenne Primes Search) program that uses distributed computing to attempt to discover new Mersenne primes. :D

garbage

I think this topic, is not for me since im not that good at the mathematics, but I was thinking the pefect number might have been zero.. I dont know why, but thats the number tyhat first popped into my head


miladinoski

Wow. I knew that something like 'perfect' number existed but I thought that it was only one though I didn't know which one is it. I guessed that it was 42 like one of the repliers said :P

 

I saw the Wikipedia page and it explains it perfectly how you can get a perfect number with one formula :P

for n = 2: 21(22 − 1) = 6

for n = 3: 212(23 − 1) = 28

for n = 5: 24(25 − 1) = 496

for n = 7: 26(27 − 1) = 8128

I wonder what would have been if the Greeks had a simple calculator :P


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