20130612, 18:14  #1 
Aug 2006
2^{2}·3·499 Posts 
Known Mersenne factors
This is similar to my last question here. Where can I look up known factors of (possibly large) Mersenne numbers? For example, I am interested to know if any factors are known for 2^1277  1. I didn't see any on factordb.com but there are probably other resources.
Of course none may be known but I'd like to be a bit more thorough in my checking. 
20130612, 18:20  #2  
"Forget I exist"
Jul 2009
Dartmouth NS
2·5^{2}·13^{2} Posts 
Quote:
may be of help, above 10 factor I'm not sure. 

20130612, 18:54  #3 
Dec 2012
3^{2}·31 Posts 
If you didn't realise it, you can also look up information on that particular exponent: http://www.mersenne.ca/exponent.php?...ntdetails=1277

20130612, 19:38  #4  
"Phil"
Sep 2002
Tracktown, U.S.A.
10001100001_{2} Posts 
Quote:
http://www.garlic.com/~wedgingt/mersenne.html Download mersdata.zip, and you will see factors of completely factored Mersenne numbers in one file and known factors of incompletely factored Mersenne numbers with exponents up to 200,000 in a second file. (He considers a Mersenne number as 2^n  1 for any n, prime or composite.) It has not been updated in a year, but hopefully should still be useful. Will also has a database of factors for larger exponents, and has responded to inquiries about specific exponents in the past. 

20130613, 00:50  #5 
Aug 2010
Kansas
1043_{8} Posts 

20130614, 11:44  #6 
Jun 2003
7×167 Posts 
For unfactored Mersennes you can also see the amount of ECM done.

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