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

bdodson 2006-12-15 04:34

[QUOTE=R.D. Silverman;94079]Here is 3,2,373- C160 = p74.p86

17930874581302156437936976273189304875314986785059413493455913842763120911
58230217053551403185963414936450914063417072730225874879739731277309932175124354621827

An extraordinary coincidence! The last 3 factorizations that I did
all had penultimate factors of 74 digits!!!!:surprised :surprised[/QUOTE]

Not to quibble, but the c176 was reported to have p72, rather
than p74. Definitely not ecm misses, I'd agree. -Bruce

R.D. Silverman 2006-12-15 12:54

ECM Miss: 3,2,382+
 
[QUOTE=FactorEyes;94091][B]Not[/B] ECM misses.

I have no idea how much ECM time has been put into these, but a glance through the tables at Paul's page doesn't show a lot of factors yet pulled between 40 and 46 digits. I'm expecting to hit some 40-something factors here as this continues.[/QUOTE]

Here's an ECM miss:

3,2,382+ C170 = p46.p124

7159493552612721220753607399389559795097807493 *
2143656406868071983696256192521339635882501960997987931722180335494246824174429310935466154869212713181456211333926108928357

R.D. Silverman 2006-12-20 15:25

4,3,348+
 
[QUOTE=R.D. Silverman;94115]Here's an ECM miss:

3,2,382+ C170 = p46.p124

7159493552612721220753607399389559795097807493 *
2143656406868071983696256192521339635882501960997987931722180335494246824174429310935466154869212713181456211333926108928357[/QUOTE]


Pascal Ochem reported the following 50 digit factor of 4,3,348+, which
finishes the number.

21627545109570735911982963191899821796033018040833

R.D. Silverman 2006-12-21 23:05

6,5,218+
 
Here is 6,5,218+ C168 = p46.p123

1824138998657896209016761039544855291905144889 *
389569385501242042335826193144375141115601192640398379846711890846031279840796085532843409197195995817954385686074687316629


3,2,379+ and 3,2,389- will finish later tonight. 3,2,373- is sieved.
I will start its LA tomorrow.

I will next do 6,5,223+ and 4,3,281+.

R.D. Silverman 2006-12-22 13:07

3,2,379+
 
[QUOTE=R.D. Silverman;94580]Here is 6,5,218+ C168 = p46.p123

1824138998657896209016761039544855291905144889 *
389569385501242042335826193144375141115601192640398379846711890846031279840796085532843409197195995817954385686074687316629


3,2,379+ and 3,2,389- will finish later tonight. 3,2,379- is sieved.
I will start its LA tomorrow.

I will next do 6,5,223+ and 4,3,281+.[/QUOTE]


Here is 3,2,379+ C181 = p50.p65.p66

67226771319413830613104414883926805525220511070521.
44641877051860703675702451824242966789994008596711308938229331673.
449470127733673988136457049803654979008339185638304483822685501327


3,2,389- is nearly done. I am about to start filtering 3,2,379-, which
will finish 3,2 to exponent 400.

I am starting 6,5,223+ and 4,3,281+.

R.D. Silverman 2006-12-22 15:22

3,2,389-; ECM Miss
 
[QUOTE=R.D. Silverman;94617]Here is 3,2,379+ C181 = p50.p65.p66

67226771319413830613104414883926805525220511070521.
44641877051860703675702451824242966789994008596711308938229331673.
449470127733673988136457049803654979008339185638304483822685501327


3,2,389- is nearly done. I am about to start filtering 3,2,379-, which
will finish 3,2 to exponent 400.

I am starting 6,5,223+ and 4,3,281+.[/QUOTE]

We have another ECM miss:

3,2,389- C166 = p43.p50.p74

2380694031881456127515459112328558784209201
47504133086872696530225772640162351202487501890073
26423743385960149544107883493798846511355715747992655671059137233699222689

The filtering for 3,2,379- is in progress.

R.D. Silverman 2006-12-24 14:13

3,2,379-
 
[QUOTE=R.D. Silverman;94625]We have another ECM miss:

3,2,389- C166 = p43.p50.p74

2380694031881456127515459112328558784209201
47504133086872696530225772640162351202487501890073
26423743385960149544107883493798846511355715747992655671059137233699222689

The filtering for 3,2,379- is in progress.[/QUOTE]


I finished 3,2 to exponent 400. The final factors for 3,2,379- are

284547272949492132244114732516300005529909399730971356363408124026312796657
63754162811755445174037186666663046130874703897539556585479533819446830950194171853


6,5,223+ and 4,3,281+ are sieving.

R.D. Silverman 2006-12-26 13:52

4,3,281+
 
[QUOTE=R.D. Silverman;94701]I finished 3,2 to exponent 400. The final factors for 3,2,379- are

284547272949492132244114732516300005529909399730971356363408124026312796657
63754162811755445174037186666663046130874703897539556585479533819446830950194171853


6,5,223+ and 4,3,281+ are sieving.[/QUOTE]

Here is 4,3,281+ C165 = p75.p91


197486788444849592436163166593813476468283633147837373130543063895536964627

3237465392468010734619015299140488156844944716966356763639089006327364978605888604866976131

I have started 4,3,284+. 6,5,223+ will have to wait until I return to my office.

xilman 2006-12-29 18:52

Last for 2006?
 
I'v e just posted updated tables. Are any more factors likely to arrive before the end of the year?

There are now 33 composites remaining. As 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.


Paul

R.D. Silverman 2006-12-29 19:05

[QUOTE=xilman;94951]I'v e just posted updated tables. Are any more factors likely to arrive before the end of the year?

There are now 33 composites remaining. As 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.


Paul[/QUOTE]

4,3,284+ may finish late Sunday. I can't retrieve the
sieve data for 6,5,223+ until Tuesaday.

frmky 2006-12-29 19:58

[QUOTE=xilman;94951]I'v e just posted updated tables. Are any more factors likely to arrive before the end of the year?

There are now 33 composites remaining. As 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.


Paul[/QUOTE]

I just started 4,3,290+ with ggnfs. At SNFS difficulty of 140 digits, it could finish in time if all goes well.

Greg


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