20100102, 09:24  #1 
Nov 2008
2×3^{3}×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! 
20100102, 09:56  #2  
Oct 2004
Austria
2·17·73 Posts 
Quote:
Edit: these too: Quote:
Last fiddled with by Andi47 on 20100102 at 10:00 

20100102, 11:15  #3 
Mar 2006
Germany
3^{2}·5^{2}·13 Posts 
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 resultfactorisation! 
20100102, 11:25  #4 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{5}·5·37 Posts 
when did the saved results thing start? i have never seen it before

20100102, 12:16  #6 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{5}·5·37 Posts 
i thought they aways appeared as factors as well

20100102, 13:14  #7 
Oct 2004
Austria
2·17·73 Posts 
I just tried to take 2^11550+1 as starting point of an aliquotsequence and then submit one of the factors  doesn't work too!

20100102, 13:31  #8 
Nov 2008
100100010010_{2} Posts 
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.

20100102, 15:00  #9 
"Robert Gerbicz"
Oct 2005
Hungary
2×3^{2}×83 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.

20100102, 15:44  #10 
"Robert Gerbicz"
Oct 2005
Hungary
2×3^{2}×83 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).

20100102, 21:00  #11 
A Sunny Moo
Aug 2007
USA (GMT5)
3×2,083 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 minieffort to clean them up. 
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