Known Mersenne factors

CRGreathouse · 2013-06-12, 18:14

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.

science_man_88 · 2013-06-12, 18:20

Quote:

Originally Posted by CRGreathouse

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.

http://www.mersenne.ca/manyfactors.php

may be of help, above 10 factor I'm not sure.

Jayder · 2013-06-12, 18:54

If you didn't realise it, you can also look up information on that particular exponent: http://www.mersenne.ca/exponent.php?...ntdetails=1277

philmoore · 2013-06-12, 19:38

Quote:

Originally Posted by CRGreathouse

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.

Check out Will Edgington's site:

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 data-base of factors for larger exponents, and has responded to inquiries about specific exponents in the past.

c10ck3r · 2013-06-13, 00:50

http://mersenne.org/report_factors/

Mr. P-1 · 2013-06-14, 11:44

For unfactored Mersennes you can also see the amount of ECM done.

2013-06-12, 18:14	#1
CRGreathouse Aug 2006 2²·3·499 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.

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2013-06-12, 18:54	#3
Jayder Dec 2012 3²·31 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

2013-06-13, 00:50	#5
c10ck3r Aug 2010 Kansas 1043₈ Posts	http://mersenne.org/report_factors/

2013-06-14, 11:44	#6
Mr. P-1 Jun 2003 7×167 Posts	For unfactored Mersennes you can also see the amount of ECM done.