## 2049^2-1 factors

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• I was messing around with a homebrew (and offbeat) factoring method which popped up a couple of factors for 2^2049-1. I ve checked factoredM.txt and they
Message 1 of 2 , Aug 2, 2006
I was messing around with a homebrew (and offbeat) factoring method
which popped up a couple of factors for 2^2049-1. I've checked
factoredM.txt and they aren't in there so I was wondering are they
known and if not where to submit them.

The two factors are:

43483649911260969479572395841704886129976814428344266240209592218046281
2746769

and

67513796971703570854592232797421324116119881147340327278928245456644619
398078155616494185719845536064262986241999463764460809

Kevin.
• ... In http://www.garlic.com/~wedgingt/factoredM.txt at M( 683 ) (683 divides 2049). ... In lowM.txt at M( 2049 ). My lowM.txt is from February 2005 but I
Message 2 of 2 , Aug 2, 2006
Kevin wrote:
> I was messing around with a homebrew (and offbeat) factoring method
> which popped up a couple of factors for 2^2049-1. I've checked
> factoredM.txt and they aren't in there so I was wondering are they
> known and if not where to submit them.

> 43483649911260969479572395841704886129976814428344266240209592218046281
> 2746769

In http://www.garlic.com/~wedgingt/factoredM.txt at M( 683 )
(683 divides 2049).

> 67513796971703570854592232797421324116119881147340327278928245456644619
> 398078155616494185719845536064262986241999463764460809

In lowM.txt at M( 2049 ).
My lowM.txt is from February 2005 but I assume the factor is still there.
factoredM.txt is only for completely factored Mersennes.
I think it omits the largest factor.

By the way, you can search numbers in Google which knows both factors.

--
Jens Kruse Andersen
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