mersenneforum.org Odds and ends....and class records
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2020-06-12, 18:44 #243 yoyo     Oct 2006 Berlin, Germany 3·11·19 Posts One of my goals is to run all sequences below 1e5 to a C149.
 2020-07-27, 12:00 #244 Drdmitry     Nov 2011 26410 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 2020-07-27 at 12:04
2020-07-27, 17:41   #245
yoyo

Oct 2006
Berlin, Germany

27316 Posts

Quote:
 Originally Posted by Drdmitry 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.
I'll take both.

 2021-01-17, 23:24 #246 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 677 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 2021-01-17 at 23:37 Reason: More info
2021-01-18, 03:10   #247
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

24×613 Posts

Quote:
 Originally Posted by Stargate38 Is this a record or not?
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 2021-01-18 at 03:11

 2021-01-18, 22:03 #248 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 2A516 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).
 2021-04-08, 05:14 #249 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 59×163 Posts Remind me - what is the highest current height for a terminated sequence? 152, isn't it? (With 145 runner-up?)
 2021-04-14, 16:59 #250 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 2A516 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 non-trivial sequence terminations, it will be much lower (<200 digits) for some time. Last fiddled with by Stargate38 on 2021-04-14 at 17:10
 2021-05-13, 08:06 #251 garambois     "Garambois Jean-Luc" Oct 2011 France 2AC16 Posts Now we have 9 sequences with more than 10,000 terms. Indeed, the sequences 2206520 and 1659720 have passed this symbolic mark recently...
 2021-06-29, 07:13 #252 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 59×163 Posts +1 more sequence with 10,000+ terms: 2854830 Attached Thumbnails
 2021-06-29, 19:35 #253 garambois     "Garambois Jean-Luc" Oct 2011 France 2AC16 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 !

 Similar Threads Thread Thread Starter Forum Replies Last Post davieddy Lounge 0 2013-01-09 16:56 yqiang GMP-ECM 6 2007-05-18 12:23 MS63 Math 40 2005-12-15 09:23 ixfd64 Math 18 2005-12-08 02:40 wblipp ElevenSmooth 10 2004-03-22 01:26

All times are UTC. The time now is 04:15.

Sun Dec 5 04:15:55 UTC 2021 up 134 days, 22:44, 0 users, load averages: 1.31, 1.07, 1.02