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Old 2016-12-23, 16:33   #2795
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Quote:
Originally Posted by Drdmitry View Post
The driver has been lost again.
This song will play forever. :)
too bad all it will take for it to be a driver again ( okay 2^3 is a guide technically) is gaining a 5 or a 3. this is a better link potentially if you don't want to look up the whole sequence and just see the last line.

Last fiddled with by science_man_88 on 2016-12-23 at 16:41
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Old 2016-12-23, 16:42   #2796
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Quote:
Originally Posted by science_man_88 View Post
too bad all it will take for it to be a driver again ( okay 2^3 is a guide technically) is gaining a 5 or a 3. this is a better link potentially if you don't want ot look up the whole sequence and just see the last line.
23 without a factor of 5 or 3 is not a guide. It will be stable until the power of two changes.

Last fiddled with by Drdmitry on 2016-12-23 at 16:43
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Old 2016-12-23, 16:44   #2797
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Quote:
Originally Posted by Drdmitry View Post
23 without a factor of 5 or 3 is not a guide. It will be stable until the power of two changes.
http://www.rechenkraft.net/aliquot/analysis.html list it as a class 3 guide it may not class as a driver though.

Last fiddled with by science_man_88 on 2016-12-23 at 16:45
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Old 2016-12-23, 17:48   #2798
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Quote:
Originally Posted by Drdmitry View Post
23 without a factor of 5 or 3 is not a guide. It will be stable until the power of two changes.
In SM_88's link, I followed Clifford Stern's definition:

Quote:
A guide consists of $2^a$ ($a \gt 0$) along with a subset of the prime factors of $\sigma(2^a)$.
I interpreted it in the following way, which I believe to be at least perfectly reasonable if really just a question of meaningless semantics.

Quote:
This motivates the following definition: a number of the form 2^b \cdot v, where v divides \sigma(2^b), is called a guide. (Note that when v=1, the guide is just the power of 2.)
Actually, technically by your statement the down"driver" wouldn't be considered a guide. I think that is certainly enough to justify the empty powers of two as guides also...
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Old 2016-12-24, 00:42   #2799
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Maybe it's time to change my username to Sisyphus...
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Old 2016-12-24, 02:58   #2800
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Quote:
Originally Posted by ryanp View Post
Maybe it's time to change my username to Sisyphus...
Told you so... Trust the Old Salt next time...
Now, don't be sad, from how the graph looks like, we may find the first cycle in the history of man, with a period 7000 or so...
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Old 2017-01-03, 23:20   #2801
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Ugh. The 7.
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Old 2017-01-06, 12:23   #2802
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good, now it is me again who owns the largest downdriver!
(which is 613068, at 153 digits, not yet updated into Dubslow's table)

Last fiddled with by LaurV on 2017-01-06 at 12:24 Reason: s/155/153/ tyop
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Old 2017-01-06, 15:26   #2803
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Well, don't get your hopes too low!
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Old 2017-01-07, 01:37   #2804
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Quote:
Originally Posted by Batalov View Post
Well, don't get your hopes too low!
Except that we're rapidly approaching 200 digits...

Need that downdriver ASAP.
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Old 2017-02-22, 09:43   #2805
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No progress from Jan 18, did Ryan still working on it?
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