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Old 2010-01-02, 09:24   #1
10metreh
 
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Default Yoyo factors

Yoyo@home have found lots of Elevensmooth factors since June:

Aftersack found 884080436752264761508522215543594899593568462371 from 2^10395+1.
Laguna found 291776126804316860724705326262387173073569521 from 2^13860+1.
[XTBA] Pitheque found 2244214804150719552188200638531573412776001 from 2^4950+1.
wn1hgb found 1043381679481478214137407334392801 from 2^9450+1.
duftkerze found 11156048790632092546283863077521827489501 from 2^11550+1.
Bryan @ SETI.USA found 71222412768899294689192004618816943301 from 2^34650+1.
Jamoko found 138927893768972766365423023519201 from 2^18900+1.

And finally, LostBoy found 8467201 from 2^8400+1. I'm guessing this one was previously known!
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Old 2010-01-02, 09:56   #2
Andi47
 
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Quote:
Originally Posted by 10metreh View Post
duftkerze found 11156048790632092546283863077521827489501 from 2^11550+1.
Is this really a factor of 2^11550+1? The DB doesn't accept it...

Edit: these too:

Quote:
Bryan @ SETI.USA found 71222412768899294689192004618816943301 from 2^34650+1.
Jamoko found 138927893768972766365423023519201 from 2^18900+1

Last fiddled with by Andi47 on 2010-01-02 at 10:00
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Old 2010-01-02, 11:15   #3
kar_bon
 
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try using the applet from Dario Alpern for 2^11550+1:

it shows much more factors (but not 11156048790632092546283863077521827489501, see attachment).

the FactorDB accepts other factors, but only showing them at saved results, not at the result-factorisation!
Attached Files
File Type: txt 2_11550_1.txt (8.2 KB, 331 views)
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Old 2010-01-02, 11:25   #4
henryzz
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Quote:
Originally Posted by kar_bon View Post
try using the applet from Dario Alpern for 2^11550+1:

it shows much more factors (but not 11156048790632092546283863077521827489501, see attachment).

the FactorDB accepts other factors, but only showing them at saved results, not at the result-factorisation!
when did the saved results thing start? i have never seen it before
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Old 2010-01-02, 11:51   #5
kar_bon
 
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i don't know exactly, but more than half a year.

see here at the bottom of that page:

Saved results: 6793 (current)

try a number "Latest factors" and for every one is shown a saved result.

here the example from above.
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Old 2010-01-02, 12:16   #6
henryzz
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Quote:
Originally Posted by kar_bon View Post
i don't know exactly, but more than half a year.

see here at the bottom of that page:

Saved results: 6793 (current)

try a number "Latest factors" and for every one is shown a saved result.

here the example from above.
i thought they aways appeared as factors as well
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Old 2010-01-02, 13:14   #7
Andi47
 
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Quote:
Originally Posted by kar_bon View Post
try using the applet from Dario Alpern for 2^11550+1:

it shows much more factors (but not 11156048790632092546283863077521827489501, see attachment).

the FactorDB accepts other factors, but only showing them at saved results, not at the result-factorisation!
I just tried to take 2^11550+1 as starting point of an aliquot-sequence and then submit one of the factors - doesn't work too!
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Old 2010-01-02, 13:31   #8
10metreh
 
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Quote:
Originally Posted by kar_bon View Post
try using the applet from Dario Alpern for 2^11550+1:

it shows much more factors (but not 11156048790632092546283863077521827489501, see attachment).

the FactorDB accepts other factors, but only showing them at saved results, not at the result-factorisation!
I tried entering that factor into the Factor box on Dario's applet and it accepted it. Maybe the DB problem is something to do with the size of the number? Or maybe it's because it hasn't proved the cofactor composite.
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Old 2010-01-02, 15:00   #9
R. Gerbicz
 
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All of them are factors, and actually db knows that, if you click some times on the red composite number then at some step it will recognise the other factors. Clearly a bug.
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Old 2010-01-02, 15:44   #10
R. Gerbicz
 
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And somehow it doesn't recognise the algebraic factors, try n=2^34650+1. So it is unable to find for this n the known prime factors of the above d=2^11550+1. (34650=3*11550, so d divides n).
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Old 2010-01-02, 21:00   #11
mdettweiler
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Hmm...I wonder if "saved factors" means factors which were submitted but didn't match up to any larger composite number in the DB? That is, the DB is hanging on to them in case the larger composite is ever added to the DB, e.g. by searching for it.

Of course, that doesn't quite line up with what we're seeing...it seems to be holding the factors as "saved" despite the fact that the larger composite is clearly in the DB. Perhaps this is because the cofactor hasn't been proven composite, as 10metreh suggested? That would make sense.

BTW, anyone know how long it would take to do a PRP test on one of those composites? Maybe we could start a little mini-effort to clean them up.
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