Daffodil International University

Science & Information Technology => Science Discussion Forum => Topic started by: jas_fluidm on March 05, 2012, 03:23:41 PM

Title: even perfect number
Post by: jas_fluidm on March 05, 2012, 03:23:41 PM

Over 2300 years ago Euclid proved that If 2^(k)-1 is a prime number (it would be a Mersenne prime), then 2^(k-1)(2^(k)-1) is a perfect number. A few hundred years ago Euler proved the converse (that every even perfect number has this form).  It is still unknown if there are any odd perfect numbers (but if there are, they are large and have many prime factors).

Title: Re: even perfect number
Post by: Masuma Parvin on March 06, 2012, 04:47:17 PM

All even perfect numbers are a power of two times a Mersenne prime.

Title: Re: even perfect number
Post by: tasnuva on March 14, 2012, 01:53:45 PM

Nice post.