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-   -   Odds and ends....and class records (https://www.mersenneforum.org/showthread.php?t=11673)

 yoyo 2020-06-12 18:44

One of my goals is to run all sequences below 1e5 to a C149.

 Drdmitry 2020-07-27 12:00

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.

 yoyo 2020-07-27 17:41

[QUOTE=Drdmitry;551725]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.
[/QUOTE]

I'll take both.

 Stargate38 2021-01-17 23:24

Is this a record or not?

I've never seen 2^2*3 last this long:

[URL="http://www.factordb.com/sequences.php?se=1&aq=46*10^28&action=range&fr=334&to=500"]Sequence 46*10^28[/URL]

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.

 LaurV 2021-01-18 03:10

[QUOTE=Stargate38;569549]Is this a record or not?[/QUOTE]
Yep. Record. The least valuable currency, ever. :razz:
(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.

 Stargate38 2021-01-18 22:03

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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