Yoyo factors

10metreh · 2010-01-02, 09:24

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!

Andi47 · 2010-01-02, 09:56

Quote:

Originally Posted by 10metreh

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

kar_bon · 2010-01-02, 11:15

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!

henryzz · 2010-01-02, 11:25

Quote:

Originally Posted by kar_bon

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

kar_bon · 2010-01-02, 11:51

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.

henryzz · 2010-01-02, 12:16

Quote:

Originally Posted by kar_bon

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

Andi47 · 2010-01-02, 13:14

Quote:

Originally Posted by kar_bon

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!

10metreh · 2010-01-02, 13:31

Quote:

Originally Posted by kar_bon

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.

R. Gerbicz · 2010-01-02, 15:00

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.

R. Gerbicz · 2010-01-02, 15:44

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).

mdettweiler · 2010-01-02, 21:00

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.

2010-01-02, 09:24	#1
10metreh Nov 2008 2×3³×43 Posts	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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2010-01-02, 11:51	#5
kar_bon Mar 2006 Germany 5462₈ Posts	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.

2010-01-02, 15:00	#9
R. Gerbicz "Robert Gerbicz" Oct 2005 Hungary 1,429 Posts	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.

2010-01-02, 15:44	#10
R. Gerbicz "Robert Gerbicz" Oct 2005 Hungary 1,429 Posts	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).

2010-01-02, 21:00	#11
mdettweiler A Sunny Moo Aug 2007 USA (GMT-5) 14151₈ Posts	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.