20200612, 18:44  #243 
Oct 2006
Berlin, Germany
2·313 Posts 
One of my goals is to run all sequences below 1e5 to a C149.

20200727, 12:00  #244 
Nov 2011
104_{16} Posts 
There are only two aliquot sequences below 100000 which never reached 145 digits:
38052 (reserved by Clifford, last update 21.07.2019) 46758 (jacobs and Richard Guy, 25.12.2017) Both of them look abandoned. On top of those, there is only one aliquot sequence (95700, vacant) which reach 146 digits and 17 other sequences reach 147 digits. I think it is possible to reach the milestone of 150 digits for all sequences below 10e5 in the near future. Last fiddled with by Drdmitry on 20200727 at 12:04 
20200727, 17:41  #245 
Oct 2006
Berlin, Germany
2·313 Posts 

20210117, 23:24  #246 
"Daniel Jackson"
May 2011
14285714285714285714
2A1_{16} Posts 
Is this a record or not?
I've never seen 2^2*3 last this long:
Sequence 46*10^28 It's usually <20 consecutive terms long, at least on the sequences I've run. If anyone asks what so special about this number, it's from the hyperinflation of the Hungarian Pengő. There were 460000000000000000000000000000 pengős to a U.S. dollar at one point, then they replaced it with the forint. At that rate, a single atom of gold would be worth 189402135 pengős, given the price of gold back in 1946. Last fiddled with by Stargate38 on 20210117 at 23:37 Reason: More info 
20210118, 03:10  #247 
Romulan Interpreter
Jun 2011
Thailand
2^{4}·13·47 Posts 
Yep. Record. The least valuable currency, ever.
(we guess. We never heard about pengos before, and we don't know if something worse than that ever happened to another currency, but even if it did, if what you say is true, than that pengo was a freaking low valuated currency!) About the 2^2*3 guide, the 3 comes and goes, sometime with brothers too, and usually is not sticky, like you just said (that's why it is considered only a guide, not a driver), but there are rare cases when it is/was quite sticky too. Last fiddled with by LaurV on 20210118 at 03:11 
20210118, 22:03  #248 
"Daniel Jackson"
May 2011
14285714285714285714
673 Posts 
Update on that: It had 2^2*3 from i334 to i453, then it lost the 3 and mutated to a downdriver (2*2*3 at i453 > 2^2*p at i454 > 2^3*p at i455 > 2 at i456).

20210408, 05:14  #249 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
255A_{16} Posts 
Remind me  what is the highest current height for a terminated sequence? 152, isn't it? (With 145 runnerup?)

20210414, 16:59  #250 
"Daniel Jackson"
May 2011
14285714285714285714
673 Posts 
The highest known termination is that of 2^82589933 (and by extension (M82589933)^2), and will always be a power of 2 sequence, as 2^n becomes Mn after 1 term. However, that's trivial. Since you're talking about nontrivial sequence terminations, it will be much lower (<200 digits) for some time.
Last fiddled with by Stargate38 on 20210414 at 17:10 
20210513, 08:06  #251 
"Garambois JeanLuc"
Oct 2011
France
7·97 Posts 
Now we have 9 sequences with more than 10,000 terms.
Indeed, the sequences 2206520 and 1659720 have passed this symbolic mark recently... 
20210629, 19:35  #253 
"Garambois JeanLuc"
Oct 2011
France
2A7_{16} Posts 
WOW !
Congratulations Batalov ! 10 sequences with more than 10000 terms and 12 sequences with terms of more than 200 digits. The gap between the two is decreasing. I always thought it was harder to have 10000 digits for a sequence than 200 digits. But maybe it's not true ! 
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