20160911, 21:37  #2575  
"Marc Shelikoff"
Dec 2014
Cambridge, MA
1111_{2} Posts 
Quote:
Further edit: Maybe 10^7 is too large because the numbers that precede would need to be worked out. A smaller 10^n might be able to test the idea of whether it estimates the likelihood of a much greater number falling into a certain genealogy. Last fiddled with by mshelikoff on 20160911 at 21:45 Reason: Considered precedents to 10^n instead of 10^7 

20160911, 21:48  #2576  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:
E.g. 6 = 1+5 = 1+2+3 are the only possible arrangements using 1 as the start ( a necessity to be a divisors list) this leads to 25 and 6 being the numbers that can get to 6. 6 has been repeated so let's check 25 and we get: 95 119 143 but that would have started with something like 66 possible partitions that have strictly increasing members starting at 1 that could ( before inspection further) possibly have lead to 25. Last fiddled with by science_man_88 on 20160911 at 22:01 

20160911, 22:06  #2577 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
24D2_{16} Posts 
And there, 2^2 * 7^2 in i7825 with proper two primes (1 mod 4), and 2^2 * 7 is lost!

20160912, 04:58  #2578 
Jun 2012
Boulder, CO
280_{10} Posts 
Uh oh. And now factordb appears to be down. Did I break it?

20160912, 05:06  #2579 
Apr 2010
Over the rainbow
2^{2}×641 Posts 
can we get an update on the status on 4788 since factordb is down?

20160912, 05:34  #2580 
"Tapio Rajala"
Feb 2010
Finland
100111011_{2} Posts 

20160912, 05:40  #2581 
Romulan Interpreter
Jun 2011
Thailand
10010011100100_{2} Posts 
grrrr... 2^2*7, I told you that you are jinxing it! A fisherman never counts his fish!
OTOH, D2 is a "good driver", with only a mild increase (compared with D3 or others). P.S., FDB seems down from this part of the world too. 
20160912, 06:54  #2582 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·3·1,571 Posts 
Status
Code:
n Digits Number 7926 121 (show) 3936113967...80<121> = 2^2 · 5 · 3163 · 11273 · 5519490243...71<112> 
20160912, 07:05  #2583  
"Frank <^>"
Dec 2004
CDP Janesville
4112_{8} Posts 
Quote:


20160912, 09:56  #2585 
Nov 2011
2×11^{2} Posts 
4788 has become the 8th longest open Aliquot sequence below 1e6, and it has all the chances to become 6th in the near future. However if we take merges into account then the sequence 314718 with currently 14420 terms has become the longest Aliquot sequence below 1e6.
Great job! 
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