20120808, 12:23  #1 
"Åke Tilander"
Apr 2011
Sandviken, Sweden
2·283 Posts 
Factored vs. Completely factored
In the GIMPS database we can only see if an exponent is "Factored", but it can be difficult to find out wether it has been completely factored or not. On my wishlist is a status called "Completely factored" for those exponents which are proved to be completely factored.
You can find the completely factored Mersenne expos here: http://www.garlic.com/~wedgingt/factoredM.txt So, if I understand it rightly M1061 (now M1277) was previously the smallest expo without know factors, but M929 is yet the smallest exponent which is not completely factored. 
20120808, 13:27  #2 
Aug 2002
Buenos Aires, Argentina
2·23·29 Posts 
For some larger exponents, it is possible that the Mersenne numbers have been completely factored, but we will not be able to prove the primality of the cofactor.

20120808, 15:12  #3 
Bemusing Prompter
"Danny"
Dec 2002
California
2·19·61 Posts 
I came up with a similar suggestion two and a half years ago. I agree that there should be some distinction between a fully factored number and one that merely has known factors.
Last fiddled with by ixfd64 on 20120808 at 15:12 
20120808, 15:34  #4  
"Åke Tilander"
Apr 2011
Sandviken, Sweden
1000110110_{2} Posts 
Quote:


Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
M4219 completely factored?  WVU Mersenneer  Factoring  58  20110127 15:03 
F22 factored!  unconnected  Factoring  31  20100626 04:07 
F33 is factored !!  Raman  Factoring  4  20100401 13:57 
RSA100 factored!  ewmayer  Math  5  20030514 15:08 
M673 completely factored  philmoore  Factoring  1  20030331 23:49 