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-   -   Factoring humongous Cunningham numbers (https://www.mersenneforum.org/showthread.php?t=5722)

FactorEyes 2006-12-30 00:58

[QUOTE=xilman;94951]IAs soon as the total reaches 30 I'll add some more composites to the tables. It would be nice to be able to do this as early in the New Year as possible.
[/QUOTE]4,3,317- is in matrix reduction, with about a week left if you include the square-root time. 4,3,317+ is sieving, and should be completed by January 17th or so.

After sieving 4,3,317-, I would have taken a smaller task, but our progress as a civilization demands that 4^634-3^634 be factored as soon as possible.

frmky 2006-12-30 08:10

[QUOTE=frmky;94962]I just started 4,3,290+ with ggnfs. At SNFS difficulty of 140 digits, it could finish in time if all goes well.
[/QUOTE]

That took less than 12 hours.

4,3,290+
r1=1344597029315228450667847438894374865550442366328801 (pp52)
r2=341595695864287985115848100313897171014106054170454131664877789302358401 (pp72)

Greg

frmky 2006-12-31 01:25

I'll take 4,3,320+ next.
Greg

R.D. Silverman 2007-01-01 14:24

4,3,284+
 
[QUOTE=R.D. Silverman;94954]4,3,284+ may finish late Sunday. I can't retrieve the
sieve data for 6,5,223+ until Tuesaday.[/QUOTE]

Here is 4,3,284+ C166 = p69.p98

222603181343471055408450865326851963651385337637865733303011327640649 *
22634140274697857387482878036400080644234221661818997240477248971640716807954357522629624490978721

4,3,296+ is in progress. I will do 4,3,298+ next.

frmky 2007-01-05 02:26

[QUOTE=frmky;95042]I'll take 4,3,320+ next.
Greg[/QUOTE]

4,3,320+
r1=9506393154246714803296194718255700169844469245954564481 (pp55)
r2=491031135338602443777658647315389862092372226786481336135977193281865441171821279476532526721 (pp93)

I'll take 4,3,343- and 4,3,343+.
Greg

R.D. Silverman 2007-01-08 12:38

[QUOTE=frmky;95336]4,3,320+
r1=9506393154246714803296194718255700169844469245954564481 (pp55)
r2=491031135338602443777658647315389862092372226786481336135977193281865441171821279476532526721 (pp93)

I'll take 4,3,343- and 4,3,343+.
Greg[/QUOTE]

Here is 4,3,296+ C129 = p62.p68


39651609122299464535528127222311853983793967881234699916304897
20097809450448530212267655930177494772513295959430286472283321586577

Only 4,3,298+ remains for base 4,3 with exponent <= 300.

The linear algebra for 6,5,223+ is running now.

I will be putting these numbers aside for the time being. I am helping
Alex Kruppa do 3,499+ instead. (with my limited resources)

R.D. Silverman 2007-01-08 18:06

6,5,223+
 
[QUOTE=R.D. Silverman;95552]Here is 4,3,296+ C129 = p62.p68


39651609122299464535528127222311853983793967881234699916304897
20097809450448530212267655930177494772513295959430286472283321586577

Only 4,3,298+ remains for base 4,3 with exponent <= 300.

The linear algebra for 6,5,223+ is running now.

I will be putting these numbers aside for the time being. I am helping
Alex Kruppa do 3,499+ instead. (with my limited resources)[/QUOTE]

Here is 6,5,223+ C143 = p70.p73

7942723156839533617821121617287166148533579420300538433060623134364813.
9103334607872832060312321425686488389297754790168539716122023280807760753

xilman 2007-01-08 21:48

[QUOTE=R.D. Silverman;95579]Here is 6,5,223+ C143 = p70.p73

7942723156839533617821121617287166148533579420300538433060623134364813.
9103334607872832060312321425686488389297754790168539716122023280807760753[/QUOTE]

Thanks. I'm also running on 3,499+.

I think this result is sufficient excuse for me to carry out my threat of adding extensions to some of the tables. The IGG people can be unleashed while we're busy. They do a good job, removing all the smaller factors., while we concentrate on the harder tasks.


Paul

R.D. Silverman 2007-01-09 17:19

[QUOTE=xilman;95605]Thanks. I'm also running on 3,499+.

I think this result is sufficient excuse for me to carry out my threat of adding extensions to some of the tables. The IGG people can be unleashed while we're busy. They do a good job, removing all the smaller factors., while we concentrate on the harder tasks.


Paul[/QUOTE]


What extensions will you be adding?

xilman 2007-01-09 19:39

[QUOTE=xilman;95605]Thanks. I'm also running on 3,499+.

I think this result is sufficient excuse for me to carry out my threat of adding extensions to some of the tables. The IGG people can be unleashed while we're busy. They do a good job, removing all the smaller factors., while we concentrate on the harder tasks.


Paul[/QUOTE]Yup, the three latest factorizations took the number of composites down to 28 and I'd required under 30.

I've uploaded the new tables to my web site and will decide, after consultation with Bob, on which extensions to add. You will learn of the decision here Real Soon Now.

Paul

R.D. Silverman 2007-01-14 10:28

Extensions
 
[QUOTE=xilman;95682]Yup, the three latest factorizations took the number of composites down to 28 and I'd required under 30.

I've uploaded the new tables to my web site and will decide, after consultation with Bob, on which extensions to add. You will learn of the decision here Real Soon Now.

Paul[/QUOTE]

I see that Paul has already added some extensions.

Please note that I have already done

5,2,249-, 238+
5,3,243-, 245-, 233+, 250+
5,4,229+, 230+, 232+, 235+, 237+, 238+

I will send them to Paul when I return to my desk on Monday.


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