Subject: Discussion related to cado-nfs
List archive
- From: Paul Zimmermann <Paul.Zimmermann@inria.fr>
- To: "Thomas D. Dean" <tomdean@wavecable.com>
- Cc: cado-nfs@inria.fr
- Subject: Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits
- Date: Mon, 18 Apr 2022 07:41:43 +0200
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Tom,
> But, changing dep to 33 works
>
> > /usr/local/lib/cado-nfs-3.0.0/sqrt/sqrt -poly
> /tmp/cado.xqnxt6gq/c125.poly -prefix /tmp/cado.xqnxt6gq/c125.dep.gz -dep
> 33 -t 8 -side0 -side1 -gcd
> ...
> Alg(33): start lifting mod p^8597103 (42591736 bits) at 425.35s (wct
> 198.00s)
> Alg(33): maximal sqrt bit-size = 38719321 (91% of target size)
> Alg(33): square root lifted at 462.49s (wct 212.61s)
> Alg(33): square root is:
> 52716005196028843586068227373656872295379668114482324634946516981071158768655789989744250698332643024421805928484276029268
> Alg(33): square root completed at 462.52s (wct 212.78s)
this is the algebraic square root a. You should get the rational square root
Rat(33)=r in the same output. Then gcd(N,a-r) or gcd(N,a+r) should give a
factor. If not, try another dependency.
Paul
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, (continued)
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Emmanuel Thomé, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Emmanuel Thomé, 04/15/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/15/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/16/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Paul Zimmermann, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Paul Zimmermann, 04/18/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/18/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Emmanuel Thomé, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/14/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Emmanuel Thomé, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/17/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/18/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Paul Zimmermann, 04/18/2022
- Re: [cado-nfs] Cado-nfs Failed Factoring 143 digits, Thomas D. Dean, 04/20/2022
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