mersenneforum.org Aliquot cycles search, the state of the art.
 Register FAQ Search Today's Posts Mark Forums Read

2016-04-06, 08:03   #100
Sergei Chernykh

Jun 2015
Stockholm, Sweden

83 Posts

Compression works now. If you force-update submission form to get the updated page and submit your files, you should see something like this in the output:
Quote:
 Inflated 81700 to 262099 bytes in 3.780 ms

2016-04-06, 09:06   #101
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

101011000012 Posts

Quote:
 Originally Posted by Sergei Chernykh Compression works now. If you force-update submission form to get the updated page and submit your files, you should see something like this in the output:
Thanks, now it is really faster! My most recent submission's verification+upload took (roughly) 578 seconds.

2016-04-06, 09:10   #102
Sergei Chernykh

Jun 2015
Stockholm, Sweden

10100112 Posts

Quote:
 Originally Posted by R. Gerbicz Thanks, now it is really faster! My most recent submission's verification+upload took (roughly) 578 seconds.
You can also do up to 6 parallel submissions (in 6 tabs) in Chrome to utilize 100% of your upload bandwith.

2016-04-06, 09:46   #103
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

34×17 Posts

Quote:
 Originally Posted by Sergei Chernykh You can also do up to 6 parallel submissions (in 6 tabs) in Chrome to utilize 100% of your upload bandwith.
Basically yes, but in general I upload only up to 3 such large file, since each of this 190 MB file needs approx. 350 MB of Ram in Google Chrome.

 2016-04-06, 17:01 #104 R. Gerbicz     "Robert Gerbicz" Oct 2005 Hungary 34·17 Posts The a=211503116810 u=33181618540257457180379732920044712802112835201 breeder (my own find) has given 6860987 amicable pairs (already submitted), but the world record is better. In generating the relevant number sigma(a)/a*sigma(u)^2 has more than 195 billion divisors. I've found ~15000 breeders, still generating APs using them. Note that in this run I'm not checking the previously known breeders (or in special case the (i,1) type of amciable pairs), so you can still submit them. However as my db is not the most recent one there could be and in fact there is an overlap (but this gives also that not all of my AP is new, though most of them is really new). In that run I've found "only" ~75 new (i,1) type of amicable pair.
2016-04-06, 17:14   #105
Sergei Chernykh

Jun 2015
Stockholm, Sweden

83 Posts

Quote:
 Originally Posted by R. Gerbicz The a=211503116810 u=33181618540257457180379732920044712802112835201 breeder (my own find) has given 6860987 amicable pairs (already submitted), but the world record is better. In generating the relevant number sigma(a)/a*sigma(u)^2 has more than 195 billion divisors. I've found ~15000 breeders, still generating APs using them. Note that in this run I'm not checking the previously known breeders (or in special case the (i,1) type of amciable pairs), so you can still submit them. However as my db is not the most recent one there could be and in fact there is an overlap (but this gives also that not all of my AP is new, though most of them is really new). In that run I've found "only" ~75 new (i,1) type of amicable pair.
The record breeder I found is this one:
Code:
a=2^3*31^2*83*101*331*11383
u=73*7129*25450786684907*68383673694179*905743266226565715439297669731703*39841744110809900189228546018528439906893321189767
S(u)*(u+S(u)-1) (which is the same as S(a)/a*S(u)^2 for breeders) has 4339109476800000 divisors - yes, it's ~4.33*1015!!! This breeder alone can generate over one billion pairs, but I haven't even started processing it yet because it would take ages. Anyone is welcome to try it however

P.S. Actually, it has even more divisors, I just don't count odd-even cases (D is even, u/D is odd) which never produce amicable pairs.

Last fiddled with by Sergei Chernykh on 2016-04-06 at 17:26

2016-04-11, 07:46   #106
Sergei Chernykh

Jun 2015
Stockholm, Sweden

83 Posts

There are over one billion amicable pairs known now! Awesome!
Quote:
 Total known amicable pairs: 1,000,108,723
P.S. Almost run out of space on the server to store all those pairs :)

2016-04-11, 09:40   #107
garambois

Oct 2011

2×33×5 Posts

Quote:
 Originally Posted by Sergei Chernykh There are over one billion amicable pairs known now! Awesome! P.S. Almost run out of space on the server to store all those pairs :)
Congratulations !
That's incredible !
More than 700 000 000 amicable pairs in only 10 days !!!

2016-04-11, 09:50   #108
Sergei Chernykh

Jun 2015
Stockholm, Sweden

5316 Posts

Quote:
 Originally Posted by garambois Congratulations ! That's incredible ! More than 700 000 000 amicable pairs in only 10 days !!!
I've found this line in server logs: "2016-04-04 12:04:03.831 Line 126: Database loaded, 314531011 numbers". So it actually took only one week, not 10 days. But I also spent a few weeks before that to find a lot of new breeders.

Next step is to double-check all these pairs and update compressed files for download.

Last fiddled with by Sergei Chernykh on 2016-04-11 at 09:51

2016-04-11, 10:39   #109
DiegoAlonso

Apr 2016

1 Posts

Quote:
 Originally Posted by Sergei Chernykh There are over one billion amicable pairs known now! Awesome! P.S. Almost run out of space on the server to store all those pairs :)
Congratulations!!!

2016-04-12, 09:24   #110
R. Gerbicz

"Robert Gerbicz"
Oct 2005
Hungary

34×17 Posts

Quote:
 Originally Posted by Sergei Chernykh Next step is to double-check all these pairs and update compressed files for download.
Are there any problems with the database?? When trying to download the large c2 files, say the 120 digits, then c2_120_1.txt and c2_120_2.txt is empty, c2_120_3.txt looks like good (its size is 252 MB), here killed the download. Similar problem for 110 digits: c2_110_1.txt and c2_110_2.txt is empty.

For me the download time was normal (3-4 minutes) for each of these files, so maybe only the generating part was broken?

 Similar Threads Thread Thread Starter Forum Replies Last Post Drdmitry Aliquot Sequences 25 2016-12-16 15:26 Drdmitry Aliquot Sequences 302 2016-05-11 02:17 schickel Aliquot Sequences 7 2013-02-08 01:33 Drdmitry Aliquot Sequences 0 2011-12-14 13:50 R. Gerbicz Math 0 2010-07-01 12:30

All times are UTC. The time now is 01:34.

Fri Aug 7 01:34:36 UTC 2020 up 20 days, 21:21, 1 user, load averages: 1.82, 1.82, 1.72