20031212, 20:40  #1 
1985_{16} Posts 
Perfect Numbers
There is a theorem that states that if
2^N  1 is prime, then (2^N  1) * 2^(N1) is perfect. A perfect number is, by definition, a number that is the sum of all its divisors, excluding itself. The numbers 6 and 28 are the first two perfect numbers. By finding the 40th Mersenne prime, GIMPS also has found what must be the largest known perfect number, namely: (2^20,996,011  1 ) * 2^20,996,010 
20031213, 01:56  #2 
"Richard B. Woods"
Aug 2002
Wisconsin USA
1111000001100_{2} Posts 
Yep, and its 13milliondigit decimal representation is at (Think before entering this URL  it's a 13 megabyte download!) http://mersenne.org/gimps/perfect6.txt.
(Why perfect6.txt? A: It's GIMPS's 6th discovery.) Last fiddled with by cheesehead on 20031213 at 02:00 
20031213, 03:29  #3 
"Mike"
Aug 2002
17413_{8} Posts 

20031213, 03:55  #4 
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}·3·641 Posts 
Oh, yeah, Bittorrent  the latest newfangled thing I haven't gotten used to thinking of yet. Bittorrent. Bittorrent.
Next we'll have Byterapids and Wordgushers. Hey  Byterapids  see, there's a "tera" in the middle of it. "Tera" sounds like you're tearin' along at great speed. Say, where do I trademark this? (But what's an "ordgu"?) Last fiddled with by cheesehead on 20031213 at 04:00 
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