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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 11:26:31 EST
Local: Sun, Nov 1 2009 9:26 pm
Subject: factoring request
Plz factor the following 4 numbers : (46^46 - 1) /( (46+1)*(46-1))
(58^58 - 1) /( (58+1)*(58-1))
(82^82 - 1) /( (82+1)*(82-1))
(106^106 - 1) /( (106+1)*(106-1))
thank you.
regards
tommy1729
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 15:42:02 EST
Local: Mon, Nov 2 2009 1:42 am
Subject: Re: factoring request
> Plz factor the following 4 numbers :
> (46^46 - 1) /( (46+1)*(46-1))
> (58^58 - 1) /( (58+1)*(58-1))
> (82^82 - 1) /( (82+1)*(82-1))
> (106^106 - 1) /( (106+1)*(106-1))
> thank you.
> regards
> tommy1729
I said PLZ.
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Newsgroups: sci.math
From:
Virgil <Vir... @home.esc>
Date: Sun, 01 Nov 2009 14:04:46 -0600
Local: Mon, Nov 2 2009 1:04 am
Subject: Re: factoring request
In article <1699063352.149909.1257108152590.JavaMail.r... @gallium.mathforum.org>,
master1729 <tommy1
... @gmail.com> wrote:
> > Plz factor the following 4 numbers :
> > (46^46 - 1) /( (46+1)*(46-1))
> > (58^58 - 1) /( (58+1)*(58-1))
> > (82^82 - 1) /( (82+1)*(82-1))
> > (106^106 - 1) /( (106+1)*(106-1))
> > thank you.
> > regards
> > tommy1729
> I said PLZ.
(46^46 - 1) /( (46+1)*(46-1)) factors into [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]
And similarly for the others.
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 17:01:03 EST
Local: Mon, Nov 2 2009 3:01 am
Subject: Re: factoring request
Virgil wrote :
> In article
> <1699063352.149909.1257108152590.JavaMail.root@gallium
> .mathforum.org>,
> master1729 <tommy1
... @gmail.com> wrote:
> > > Plz factor the following 4 numbers :
> > > (46^46 - 1) /( (46+1)*(46-1))
> > > (58^58 - 1) /( (58+1)*(58-1))
> > > (82^82 - 1) /( (82+1)*(82-1))
> > > (106^106 - 1) /( (106+1)*(106-1))
> > > thank you.
> > > regards
> > > tommy1729
> > I said PLZ.
> (46^46 - 1) /( (46+1)*(46-1)) factors into
> [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > 3 + 1)]
> And similarly for the others.
sigh. im tired of these jokes.
you people know darn well that
1) i was aware of the above trivial factorization
or should i say : " what is intended " since the above is actually wrong :
quote :
(46^46 - 1) /( (46+1)*(46-1)) factors into
[(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]
/
wow a number factors into a smaller number !!??!!
yes smaller because (46^23 + 1) / (46^23 + 1) = 1
so that joke is even wrong and pathetic.
2) im not a beginner at factoring , otherwise i could not have known that (46^46 - 1) /( (46+1)*(46-1)) is actually an integer.
3) thus i wanted - as you darn well know - a full factorization. and a correct one !
4) if you will reply with jokes , mistakes , nonsense and irrelevant stuff , i will too and say here : axiom of choice is wrong.
regards - assuming and hoping you will give a better reply now -
tommy1729
since this reply of virgil was rediculous ( didnt say virgil is ) , i feel the urge to quote an idiot :)
" sd354fq35f13e4f115fsd search the people " musatov.
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 17:28:09 EST
Local: Mon, Nov 2 2009 3:28 am
Subject: Re: factoring request
in the meanwhile i computed that (46^23 + 1) / 47 = prime. tommy1729
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Newsgroups: sci.math
From:
Pubkeybreaker <pubkeybrea... @aol.com>
Date: Sun, 1 Nov 2009 14:35:44 -0800 (PST)
Local: Mon, Nov 2 2009 3:35 am
Subject: Re: factoring request
On Nov 1, 11:26 am, master1729 <tommy1... @gmail.com> wrote:
> Plz factor the following 4 numbers :
> (46^46 - 1) /( (46+1)*(46-1))
> (58^58 - 1) /( (58+1)*(58-1))
> (82^82 - 1) /( (82+1)*(82-1))
> (106^106 - 1) /( (106+1)*(106-1))
(1) Each of the numerators is the difference of two squares. Their factorization is trivial. (2) You can find the full facorizations at Richard Brent's website.
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Newsgroups: sci.math
From:
"Martin M. Musatov" <m... @yummy.con>
Date: Sun, 1 Nov 2009 14:36:27 -0800
Local: Mon, Nov 2 2009 3:36 am
Subject: Re: factoring request
Blow me, you impotent puke.
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 18:17:07 EST
Local: Mon, Nov 2 2009 4:17 am
Subject: Re: factoring request
> Blow me, you impotent puke.
shut up musatov , you retarded son of a german whore who married a bad smelling pokemon. go ' search the people '
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 18:19:25 EST
Local: Mon, Nov 2 2009 4:19 am
Subject: Re: factoring request
pubkeybreaker wrote :
> On Nov 1, 11:26 am, master1729 <tommy1
... @gmail.com>
> wrote:
> > Plz factor the following 4 numbers :
> > (46^46 - 1) /( (46+1)*(46-1))
> > (58^58 - 1) /( (58+1)*(58-1))
> > (82^82 - 1) /( (82+1)*(82-1))
> > (106^106 - 1) /( (106+1)*(106-1))
> (1) Each of the numerators is the difference of two > squares. > Their factorization is trivial.
> (2) You can find the full facorizations at Richard > Brent's website.
thanks. i will look at R Brents website.
i already factored 3 out of 4.
but that last one is tricky , better use his website.
maybe it will lead to a nice conjecture.
regards
tommy1729
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 18:48:00 EST
Subject: Re: factoring request
> pubkeybreaker wrote :
> > On Nov 1, 11:26 am, master1729 > <tommy1... @gmail.com> > > wrote: > > > Plz factor the following 4 numbers :
> > > (46^46 - 1) /( (46+1)*(46-1))
> > > (58^58 - 1) /( (58+1)*(58-1))
> > > (82^82 - 1) /( (82+1)*(82-1))
> > > (106^106 - 1) /( (106+1)*(106-1))
> > (1) Each of the numerators is the difference of > two > > squares. > > Their factorization is trivial.
> > (2) You can find the full facorizations at Richard > > Brent's website.
> thanks.
> i will look at R Brents website.
> i already factored 3 out of 4.
> but that last one is tricky , better use his > website.
> maybe it will lead to a nice conjecture.
> regards
> tommy1729
i have trouble with .gz files for some reason. didnt find an online program to factor , did i overlook ?
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sun, 01 Nov 2009 18:52:29 EST
Local: Mon, Nov 2 2009 4:52 am
Subject: Re: factoring request
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Newsgroups: sci.math
From:
Virgil <Vir... @home.esc>
Date: Sun, 01 Nov 2009 17:22:03 -0600
Local: Mon, Nov 2 2009 4:22 am
Subject: Re: factoring request
In article <968439331.150126.1257112893522.JavaMail.r... @gallium.mathforum.org>,
master1729 <tommy1
... @gmail.com> wrote:
> Virgil wrote :
> > In article > > <1699063352.149909.1257108152590.JavaMail.root@gallium > > .mathforum.org>, > > master1729 <tommy1... @gmail.com> wrote:
> > > > Plz factor the following 4 numbers :
> > > > (46^46 - 1) /( (46+1)*(46-1))
> > > > (58^58 - 1) /( (58+1)*(58-1))
> > > > (82^82 - 1) /( (82+1)*(82-1))
> > > > (106^106 - 1) /( (106+1)*(106-1))
> > > > thank you.
> > > > regards
> > > > tommy1729
> > > I said PLZ.
> > (46^46 - 1) /( (46+1)*(46-1)) factors into
> > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > > 3 + 1)]
> > And similarly for the others.
> sigh.
> im tired of these jokes.
> you people know darn well that
> 1) i was aware of the above trivial factorization
> or should i say : " what is intended " since the above is actually wrong :
> quote :
> (46^46 - 1) /( (46+1)*(46-1)) factors into
> [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + 1)]
My poor proof reading, sorry. Should have been [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46+ 1)] Which is a factorization. though apparently not the COMPLETE factorization that OP did not actually specify he wanted.
> wow a number factors into a smaller number !!??!!
> yes smaller because (46^23 + 1) / (46^23 + 1) = 1
> so that joke is even wrong and pathetic.
> 2) im not a beginner at factoring , otherwise i could not have known that > (46^46 - 1) /( (46+1)*(46-1)) is actually an integer.
> 3) thus i wanted - as you darn well know - a full factorization. and a > correct one !
If you want a FULL (or more properly, a complete) factorization, it is not that much more difficult to say so.
> 4) if you will reply with jokes , mistakes , nonsense and irrelevant stuff , > i will too and say here : axiom of choice is wrong.
> regards - assuming and hoping you will give a better reply now -
> tommy1729
> since this reply of virgil was rediculous ( didnt say virgil is ) , i feel > the urge to quote an idiot :)
> " sd354fq35f13e4f115fsd search the people " musatov.
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Newsgroups: sci.math
From:
"Martin M. Musatov" <m... @yummy.con>
Date: Sun, 1 Nov 2009 23:01:22 -0800
Local: Mon, Nov 2 2009 12:01 pm
Subject: Re: factoring request
Blow me a second time, you impotent puke.
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Mon, 02 Nov 2009 05:25:17 EST
Local: Mon, Nov 2 2009 3:25 pm
Subject: Re: factoring request
> Plz factor the following 4 numbers :
> (46^46 - 1) /( (46+1)*(46-1))
> (58^58 - 1) /( (58+1)*(58-1))
> (82^82 - 1) /( (82+1)*(82-1))
> (106^106 - 1) /( (106+1)*(106-1))
> thank you.
> regards
> tommy1729
More of a challenge -- The 3 + the first 111 decimal digits of pi changed to an integer. 3.1415926535897932384626433832795028841971693993751058209749445923078164062 86208998628034825342117067982148086513e+111.
Dan
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Newsgroups: sci.math
From:
Pubkeybreaker <pubkeybrea... @aol.com>
Date: Mon, 2 Nov 2009 05:12:58 -0800 (PST)
Local: Mon, Nov 2 2009 6:12 pm
Subject: Re: factoring request
On Nov 2, 5:25 am, dan73 <fasttrac... @att.net> wrote:
> > Plz factor the following 4 numbers :
> > (46^46 - 1) /( (46+1)*(46-1))
> > (58^58 - 1) /( (58+1)*(58-1))
> > (82^82 - 1) /( (82+1)*(82-1))
> > (106^106 - 1) /( (106+1)*(106-1))
> > thank you.
> > regards
> > tommy1729
> More of a challenge -- > The 3 + the first 111 decimal digits of pi changed > to an integer.
> 3.1415926535897932384626433832795028841971693993751058209749445923078164062 86208998628034825342117067982148086513e+111.
> Dan- Hide quoted text -
> - Show quoted text -
Not much of a challenge. A few days computing on a single PC using GNFS. Even less if one can pull out a small factor or two with ECM.
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Mon, 02 Nov 2009 12:52:34 EST
Local: Mon, Nov 2 2009 10:52 pm
Subject: Re: factoring request
On Nov 2, 5:25 am, dan73 <fasttrac... @att.net> wrote:
> >> Plz factor the following 4 numbers :
> >> (46^46 - 1) /( (46+1)*(46-1))
> >> (58^58 - 1) /( (58+1)*(58-1))
> >> (82^82 - 1) /( (82+1)*(82-1))
> >> (106^106 - 1) /( (106+1)*(106-1))
> >> thank you.
> >> regards
> >> tommy1729
>> More of a challenge -- >> The 3 + the first 111 decimal digits of pi changed >> to an integer.
> 3.1415926535897932384626433832795028841971693993751058209749445923078164062 86208998628034825342117067982148086513e+111.
>> Dan- Hide quoted text -
> - Show quoted text - >Not much of a challenge. A few days computing on a >single PC using >GNFS. Even less if one can >pull out a small factor or two with ECM.
You are probably right, I have only run it on ECM for a few hours and @ curve 750 it appears this composite has at most three factors but maybe only two.
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Mon, 02 Nov 2009 15:26:59 EST
Local: Tues, Nov 3 2009 1:26 am
Subject: Re: factoring request
dan73 wrote :
> > Plz factor the following 4 numbers :
> > (46^46 - 1) /( (46+1)*(46-1))
> > (58^58 - 1) /( (58+1)*(58-1))
> > (82^82 - 1) /( (82+1)*(82-1))
> > (106^106 - 1) /( (106+1)*(106-1))
> > thank you.
> > regards
> > tommy1729
> More of a challenge -- > The 3 + the first 111 decimal digits of pi changed > to an integer.
> 3.1415926535897932384626433832795028841971693993751058 > 209749445923078164062862089986280348253421170679821480 > 86513e+111.
> Dan
nice problem. i think its not so hard if you use a computerprogram.
but perhaps we can do without computers and use some math tricks !?
for instance the many formula's concerning sin , arcsin etc and products ?
maybe that is too optimistic. or not.
i bet on q-sine ...
regards
tommy1729
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Mon, 02 Nov 2009 15:21:25 EST
Local: Tues, Nov 3 2009 1:21 am
Subject: Re: factoring request
Virgil wrote :
> In article
> <968439331.150126.1257112893522.JavaMail.root@gallium.
> mathforum.org>,
> master1729 <tommy1
... @gmail.com> wrote:
> > Virgil wrote :
> > > In article
> <1699063352.149909.1257108152590.JavaMail.root@gallium > > > .mathforum.org>, > > > master1729 <tommy1... @gmail.com> wrote:
> > > > > Plz factor the following 4 numbers :
> > > > > (46^46 - 1) /( (46+1)*(46-1))
> > > > > (58^58 - 1) /( (58+1)*(58-1))
> > > > > (82^82 - 1) /( (82+1)*(82-1))
> > > > > (106^106 - 1) /( (106+1)*(106-1))
> > > > > thank you.
> > > > > regards
> > > > > tommy1729
> > > > I said PLZ.
> > > (46^46 - 1) /( (46+1)*(46-1)) factors into
> > > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > > > 3 + 1)]
> > > And similarly for the others.
> > sigh.
> > im tired of these jokes.
> > you people know darn well that
> > 1) i was aware of the above trivial factorization
> > or should i say : " what is intended " since the > above is actually wrong :
> > quote :
> > (46^46 - 1) /( (46+1)*(46-1)) factors into
> > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46^23 + > 1)]
> My poor proof reading, sorry. > Should have been > [(46^46 - 1) / (46-1)] * [(46^23 + 1) / (46+ 1)]
> Which is a factorization.
still wrong !! lol
regards
tommy1729
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Mon, 02 Nov 2009 20:30:38 EST
Local: Tues, Nov 3 2009 6:30 am
Subject: Re: factoring request
> > >Plz factor the following 4 numbers :
> > >(46^46 - 1) /( (46+1)*(46-1))
> > >(58^58 - 1) /( (58+1)*(58-1))
> > >(82^82 - 1) /( (82+1)*(82-1))
> > >(106^106 - 1) /( (106+1)*(106-1))
> > >thank you.
> > >regards
> > >tommy1729
> >More of a challenge -- > >The 3 + the first 111 decimal digits of pi changed > >to an integer.
> >3.1415926535897932384626433832795028841971693993751058 > >209749445923078164062862089986280348253421170679821480 > >86513e+111.
> >Dan >nice problem. >i think its not so hard if you use a computerprogram. >but perhaps we can do without computers and use some math tricks !? >for instance the many formula's concerning sin , arcsin etc and products ? >maybe that is too optimistic. or not. >i bet on q-sine ... >regards >tommy1729
I was trying to use Darios' ECM and my python triangle sum program simultaneously but the memory over head was just to great. So I opted to use only the ECM because it is much faster, like probably 100 times faster! Although in some limited instances of certain composites my python triangle summing program beats the pants off of the ECM. Here is where it stands now with no factors yet --
Factoring 3141 592653 589793 238462 643383 279502 884197 169399 375105 820974 944592 307816 406286 208998 628034 825342 117067 982148 086513 (112 digits) Limit (B1=1000000; B2=100000000) Curve 1036 Digits in factor: >= 15 >= 20 >= 25 >= 30 >= 35 >= 40 Probability:----------100% 100% 100% 99% 34% 5%
About 10 hours worth.
It would be nice if someone could pickup on curve 1200. After finishing my run of 1012 too 1199 I could jump too 1400 and the other party could jump from 1399 to 1600 and so on!
Generally speaking, if there are just 2 factors that are close to equal digit length then this may take about 5 or 6 days to factor on one computer.
If there are just 3 factors the factoring time would be much less, more like what pubkeybreaker is saying. Or 2 factors much different in length by about 10 or more digits the factoring time would be much less than the 5 of 6 day factoring time.
Dan
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Fri, 06 Nov 2009 07:58:10 EST
Local: Fri, Nov 6 2009 5:58 pm
Subject: Re: factoring request
tommy1729 wrote:
>> Plz factor the following 4 numbers :
>> (46^46 - 1) /( (46+1)*(46-1))
>> (58^58 - 1) /( (58+1)*(58-1))
>> (82^82 - 1) /( (82+1)*(82-1))
>> (106^106 - 1) /( (106+1)*(106-1))
>> thank you.
>> regards
>> tommy1729 >More of a challenge -- >The 3 + the first 111 decimal digits of pi changed >to an integer. >3.141592653589793238462643383279502884197169399375105820974944592307816406 286208998628034825342117067982148086513e+111. >Dan
The latest update on factoring floor(10^111 * pi) The ECM after 5 days factoring =
Factoring 3141 592653 589793 238462 643383 279502 884197 169399 375105 820974 944592 307816 406286 208998 628034 825342 117067 982148 086513 (112 digits) Limit (B1=11000000; B2=1100000000) Curve 2450 Digits in factor: >= 15 >= 20 >= 25 >= 30 >= 35 >= 40 Probability:------- 100% 100% 100% 100% 97% 33%
It now appears that there are just two factors. I was wrong on this one. It is more of a challenge than I first thought, on the high side it could take years to factor.
Dan
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Newsgroups: sci.math
From:
Pubkeybreaker <pubkeybrea... @aol.com>
Date: Fri, 6 Nov 2009 05:03:19 -0800 (PST)
Local: Fri, Nov 6 2009 6:03 pm
Subject: Re: factoring request
On Nov 6, 7:58 am, dan73 <fasttrac... @att.net> wrote:
> tommy1729 wrote:
> >> Plz factor the following 4 numbers :
> >> (46^46 - 1) /( (46+1)*(46-1))
> >> (58^58 - 1) /( (58+1)*(58-1))
> >> (82^82 - 1) /( (82+1)*(82-1))
> >> (106^106 - 1) /( (106+1)*(106-1))
> >> thank you.
> >> regards
> >> tommy1729 > >More of a challenge -- > >The 3 + the first 111 decimal digits of pi changed > >to an integer. > >3.141592653589793238462643383279502884197169399375105820974944592307816406 286208998628034825342117067982148086513e+111. > >Dan
> The latest update on factoring floor(10^111 * pi)
> The ECM after 5 days factoring =
> Factoring 3141 592653 589793 238462 643383 279502 884197 169399 375105 820974 > 944592 307816 406286 208998 628034 825342 117067 982148 086513 (112 digits) > Limit (B1=11000000; B2=1100000000) Curve 2450 > Digits in factor: >= 15 >= 20 >= 25 >= 30 >= 35 >= 40 > Probability:------- 100% 100% 100% 100% 97% 33%
> It now appears that there are just two factors. > I was wrong on this one. It is more of a challenge > than I first thought, on the high side it could > take years to factor.
Sigh. People simply do not read. As I said: It will take only a few days on any modern PC using GNFS.
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Fri, 06 Nov 2009 10:23:29 EST
Local: Fri, Nov 6 2009 8:23 pm
Subject: Re: factoring request
Pubkeybreaker wrote: Pubkeybreaker wrote: >Sigh. People simply do not read. >As I said: >It will take only a few days on any modern PC using >GNFS.
Yea I did read and used ECM, but it has chugged for 5+days. Will GNFS give quicker results? Dan
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Newsgroups: sci.math
From:
master1729 <tommy1... @gmail.com>
Date: Sat, 07 Nov 2009 15:26:30 EST
Local: Sun, Nov 8 2009 1:26 am
Subject: Re: factoring request
dan73 wrote :
> Pubkeybreaker wrote:
> Pubkeybreaker wrote:
> >Sigh. People simply do not read. > >As I said:
> >It will take only a few days on any modern PC using > >GNFS.
> Yea I did read and used ECM, but it has chugged > for 5+days. > Will GNFS give quicker results?
> Dan
Dan , which part of "It will take only a few days on any modern PC using GNFS."
didnt you understand ? x)
lol
tommy1729
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Newsgroups: sci.math
From:
dan73 <fasttrac... @att.net>
Date: Sat, 07 Nov 2009 19:16:59 EST
Local: Sun, Nov 8 2009 5:16 am
Subject: Re: factoring request
>Dan , which part of >"It will take only a few days on any modern PC using >GNFS." >didn't you understand ? x) >lol >tommy1729
I had it wrong also, even with GNFS it is going to take more than just a few days! It is still chugging along on the ECM after 6 + days but if GNFS is more than twice as fast as ECM, it is possible GNFS could factor it in a few days. I never used that algorithm (GNFS) but it is better to use on larger composites like this one rather than ECM or so I have read!
Is there any free GNFS software for the Python language out there?
Dan
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