20090713, 16:42  #34 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
37·163 Posts 

20090713, 16:54  #35 
Nov 2008
100100010010_{2} Posts 
Yes, but the gang were talking about the "smallest factor of a number". This is actually 1, but they were using it as the "smallest prime factor".
I notice that my posts in threads that are not in the Factoring Projects superforum often have the effect of drastically reducing the posting rate in that thread. What is the reason for this? Oh yes, and I have guessed what everyone's reactions will be 
20090713, 17:10  #36 
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
11·389 Posts 
Of course, trivially every natural number over 1 has at least two factors: 1 and itself. With Mersenne numbers these correspond to k=0 and k=(Mp1)/2p, respectively. But it makes sense to restrict our search to k's such that 0<k<(Mp1)/2p.
Saying that 1 and Mp qualify just because we didn't specify prime factor is just being pedantic, and you know it. Last fiddled with by TimSorbet on 20090713 at 17:12 Reason: "every number has" > "every natural number over 1 has" so as to avoid any more pedantry :) 
20090713, 21:51  #37 
"Richard B. Woods"
Aug 2002
Wisconsin USA
7692_{10} Posts 
Correlation is not causation. Maybe you're just habitually late to get into the discussions outside Factoring Projects. :)

20090717, 02:52  #38  
Apr 2007
Spessart/Germany
2×83 Posts 
Quote:
It is not known wheather there are infinity many SG primes or not. best regards, Matthias 

20090717, 05:39  #39 
6809 > 6502
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Aug 2003
101×103 Posts
2^{2}·7·389 Posts 

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