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Old 2020-06-12, 18:44   #243
yoyo
 
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One of my goals is to run all sequences below 1e5 to a C149.
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Old 2020-07-27, 12:00   #244
Drdmitry
 
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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
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Old 2020-07-27, 17:41   #245
yoyo
 
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Quote:
Originally Posted by Drdmitry View Post
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.
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Old 2021-01-17, 23:24   #246
Stargate38
 
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14285714285714285714

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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
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Old 2021-01-18, 03:10   #247
LaurV
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Quote:
Originally Posted by Stargate38 View Post
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
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Old 2021-01-18, 22:03   #248
Stargate38
 
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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).
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Old 2021-04-08, 05:14   #249
Batalov
 
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Phi(4,2^7658614+1)/2

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Remind me - what is the highest current height for a terminated sequence? 152, isn't it? (With 145 runner-up?)
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Old 2021-04-14, 16:59   #250
Stargate38
 
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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
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Old 2021-05-13, 08:06   #251
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Now we have 9 sequences with more than 10,000 terms.
Indeed, the sequences 2206520 and 1659720 have passed this symbolic mark recently...

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Old 2021-06-29, 07:13   #252
Batalov
 
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Phi(4,2^7658614+1)/2

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+1 more sequence with 10,000+ terms: 2854830
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Old 2021-06-29, 19:35   #253
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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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