Let the fifth perfect number be expressed in form: (2^(p-1))*((2^p) - 1) find p
Favorites|Homepage
Subscriptions | sitemap
HOME > > Let the fifth perfect number be expressed in form: (2^(p-1))*((2^p) - 1) find p

Let the fifth perfect number be expressed in form: (2^(p-1))*((2^p) - 1) find p

[From: ] [author: ] [Date: 13-02-24] [Hit: ]
By research, the fifth perfect number is 33,550,33,550,33,......
2^(p-1) *(2^(p)-1)
A perfect number is a number which equals 1/2 the sum of all its positive integer divisors. Euclid proved that for the perfect number to be even, p must be prime. The first perfect number is 6. (1/2)(1+2+3+6)= 12/2= 6. In this case, p=2
2^(2-1) *(2^(2)-1)= 2 *3= 6
By research, the fifth perfect number is 33,550,336 and p= 13
33,550,336 = 2^(p-1) *(2^(p)-1)
33,550,336 = 2^(13-1) *(2^(13)-1)
33,550,336 = 2^12 * (2^13 -1) = 4096 *8191 = 33,550,336
Note that p is prime here.
1
keywords: in,find,Let,form,expressed,perfect,fifth,number,be,the,Let the fifth perfect number be expressed in form: (2^(p-1))*((2^p) - 1) find p
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .