20151217, 20:23  #78 
Jun 2015
Stockholm, Sweden
83 Posts 
I also added a form to download multiple files in one click, so hopefully it'll eliminate the need to use handmade scripts for downloading the database.
P.S. My tests show that files are downloaded with gzip compression on, so it'll save some bandwith as well. Last fiddled with by Sergei Chernykh on 20151217 at 20:25 
20151220, 12:31  #79 
Jun 2015
Stockholm, Sweden
83 Posts 
I added new article describing my latest experiments with amicable pair breeders: http://sech.me/ap/articles.html#a2
Last fiddled with by Sergei Chernykh on 20151220 at 12:31 
20151220, 18:17  #80  
Jun 2015
Stockholm, Sweden
83 Posts 
Quote:
u = 5553277*491589887*65863161899*121662137346372045298225116370565798401 a = 2^7*521*659*2083*359604309859457712005159657 It generated 2874831 pairs. 

20151221, 10:04  #81 
Mar 2015
Australia
1010010_{2} Posts 
Interesting, thanks for posting this, partly explains how the total numbers are getting so large!
I did a bit of exploring with the smaller type n,1 pairs up to 13 digits, not just with a first generation but a second breeder generation as well. It produced a small number of new pairs but by this stage things slow down a lot and the numbers get a lot bigger! I've also started a new search to try and find something hopefully larger than the record, nothing so far but I have filled a few holes for 817d, 934d, 946d and 948d. Andrew 
20160130, 18:37  #82  
Jun 2015
Stockholm, Sweden
83 Posts 
The first amicable pairs with different smallest prime factors have been found!
Quote:


20160130, 19:26  #83 
Oct 2011
100001110_{2} Posts 
Congratulations Sergei Chernykh !
And more than 8000000 of amicable pairs in only 2 days... That's a performance ! 
20160130, 19:43  #84 
Jun 2015
Stockholm, Sweden
83 Posts 

20160301, 08:47  #85 
Mar 2015
Australia
2·41 Posts 
Small update, I've been plodding away with some of my older work which is still producing pairs but with only a small fraction being new. I've also started a bit of a new more random approach which is producing more pairs and hopefully many more new ones! (Based on the BDE method which is all I'll say just now).
Over time more and more Xn1 pairs are appearing, hopefully they will have some future use! I've also been refinding lots of known n1 pairs, but today finally my submission had two new ones 31 Walker 2016 4465794257709736776158335815=3^5*5*11^3*43*15971*50516549*79599463 4569650085988116133496089785=3^5*5*11^3*15971*176927973337684799 41 Walker 2016 5262823241470026048476721754194700962944980800371093750=2*5^10*19*37*24088543*248681945999999*63985067186244859908749 5405061931838813976933343114297666490624999999628906250=2*5^10*19*14565219521586698716788798286949501279999999999 The first I was able to find an additional 106 pairs from, up to 429 digits. The second I've just started work on, could be a lot more so please leave this for me! Cheers Andrew 
20160301, 08:51  #86  
Jun 2015
Stockholm, Sweden
53_{16} Posts 
Quote:


20160305, 22:20  #87 
Jun 2015
Stockholm, Sweden
83 Posts 
Today I started up my automatic BDE software on one PC to process some 6primes breeders I found, but I forgot how much automatic it was: it also picked up this pair and processed it, so it counted 11868 type (5,2) pairs (103128 digits) on me. I'll see what I can do to fix it.

20160307, 08:43  #88 
Jun 2015
Stockholm, Sweden
83 Posts 
This is fixed now.

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