Re: Mersenne: Factoring beyond ECM

2000-01-23 Thread Hans-Martin Anger

LiDIA is a free package for long number arithmetic.
It includes a demo-program for factoring numbers with trial factoring, ECM
and MPQS successive.
See here: http://www.informatik.tu-darmstadt.de/TI/LiDIA/Welcome.html

regards
Martin


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Von: Foghorn Leghorn [EMAIL PROTECTED]
An: [EMAIL PROTECTED]
Gesendet: Samstag, 22. Januar 2000 23:24
Betreff: Mersenne: Factoring beyond ECM


 I'm interested in trying to factor composite numbers with 100 to 200
 digits. ECM becomes impractical for numbers without any factors below
 50 digits or so. I have heard of algorithms such as MPQS which are
 used to tackle larger numbers. Are there any (preferably free)
 implementations of this method (or another) that would be feasible to
 run on a home PC or Unix workstations?

 Foghorn Leghorn
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Mersenne: Factoring beyond ECM

2000-01-22 Thread Foghorn Leghorn

I'm interested in trying to factor composite numbers with 100 to 200
digits. ECM becomes impractical for numbers without any factors below
50 digits or so. I have heard of algorithms such as MPQS which are
used to tackle larger numbers. Are there any (preferably free)
implementations of this method (or another) that would be feasible to
run on a home PC or Unix workstations?

Foghorn Leghorn
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Re: Mersenne: Factoring beyond ECM

2000-01-22 Thread Henrik Olsen

On Sat, 22 Jan 2000, Foghorn Leghorn wrote:
 I'm interested in trying to factor composite numbers with 100 to 200
 digits. ECM becomes impractical for numbers without any factors below
 50 digits or so. I have heard of algorithms such as MPQS which are
 used to tackle larger numbers. Are there any (preferably free)
 implementations of this method (or another) that would be feasible to
 run on a home PC or Unix workstations?
MPQS is ok for numbers up to about 100 digits, at which time NFS takes
over.

Have a look at Conrad Curry's NFSNET, 
 http://orca.st.usm.edu/~cwcurry/nfs/nfs.html

 Foghorn Leghorn
 [EMAIL PROTECTED]

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 The Prophecy


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Re: Mersenne: Factoring beyond ECM

2000-01-22 Thread Foghorn Leghorn

On Sun, 23 Jan 2000 02:06:26 +0100 (CET), you wrote:
MPQS is ok for numbers up to about 100 digits, at which time NFS takes
over.

Is there a good implementation of this available online?

Have a look at Conrad Curry's NFSNET, 
 http://orca.st.usm.edu/~cwcurry/nfs/nfs.html

Foghorn Leghorn
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