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-   -   Program for searching all odd-16-digit Aliquot cycles (https://www.mersenneforum.org/showthread.php?t=20316)

frmky 2015-10-06 19:00

1 Attachment(s)
940-999 are done. I'll take 1011-1099.

Drdmitry 2015-10-06 19:51

[QUOTE=frmky;412100]940-999 are done. I'll take 1011-1099.[/QUOTE]

Wow, you are superfast. Do you use many cores?

It is the first time I see that a sequence grows so long, that an additional check is required:
[CODE]
0 . 9150773011965585 = 3^2 * 5 * 7 * 11^2 * 13 * 19 * 971996957
1 . 13436259018768495 = 3^2 * 5 * 7 * 13 * 19 * 23 * 13033 * 576101
2 . 18050717648326545 = 3^2 * 5 * 7 * 13 * 19 * 41 * 967 * 5851627
3 . 23515832185442415 = 3^2 * 5 * 7 * 13^3 * 17 * 31 * 64477639
4 . 31640218659434385 = 3^2 * 5 * 7 * 11 * 13 * 17 * 107 * 197 * 389 * 5039
5 . 47673893247996015 = 3^2 * 5 * 7 * 11 * 13 * 59 * 21673 * 827681
6 . 65162111729350545 = 3^2 * 5 * 7^2 * 13 * 19 * 29 * 1019 * 1699 * 2383
7 . 89222527989049455 = 3^2 * 5 * 7 * 11 * 13 * 19 * 37 * 26993 * 104381
8 . 135269188742793105 = 3^2 * 5 * 7 * 11^2 * 13 * 19 * 29 * 31 * 15982559
9 . 221273748984182895 = 3^2 * 5 * 7 * 11 * 13 * 19 * 353 * 1789 * 409397
10 . 322634789744572305 = 3^2 * 5 * 7^2 * 11 * 13 * 29 * 307 * 114929149
11 . 470561923652515695 = 3^2 * 5 * 7^2 * 11 * 13 * 17 * 727 * 2089 * 57803
12 . 711899014430228625 = 3^2 * 5^3 * 7^3 * 11 * 13 * 1987 * 6492887
13 . 1047204982108241775 = 3^2 * 5^2 * 7^2 * 13 * 233 * 607 * 51661277
14 . 1316495913478602129 = 3^2 * 7 * 13 * 23 * 41 * 1704605639237
15 . 1185265143737770095 = 3^2 * 5 * 7 * 11 * 13^2 * 29 * 1213 * 1847 * 31153
16 . 1687979788454424465 = 3^2 * 5 * 7^2 * 11 * 13 * 43 * 302873 * 411049
17 . 2403572091967981935 = 3^2 * 5 * 7 * 11 * 13 * 31 * 167 * 10307002859
18 . 3405215927285757585 = 3^2 * 5 * 7 * 11^2 * 13 * 19 * 167 * 2165884571
19 . 5050275459183147375 = 3^2 * 5^3 * 7 * 13 * 17 * 19 * 81331 * 1877857
20 . 7438293456087242385 = 3^2 * 5 * 7 * 13 * 16441429 * 110479027
21 . 8430067025675987055 = 3 * 5 * 7 * 13 * 47 * 359 * 431 * 849236789
22 . 8610559153581152145 = 3 * 5 * 7 * 191 * 11904523 * 36065893
23 . 7216899739587913839 = 3 * 2405633246529304613
24 . 2405633246529304617 = 3^2 * 7 * 73 * 523077461737183
25 . 1619970899000063447 = 1619970899000063447
[/CODE]
Apart from that, 210 (together with 6 isotopic) amicable pairs were found, all of them are in Sergei's list.

frmky 2015-10-06 21:47

[QUOTE=Drdmitry;412101]Wow, you are superfast. Do you use many cores?[/QUOTE]
Yes, I just ran 60 instances, each with a single number in the range, on a computer with 20 cores, then combined the output files in the correct order.

frmky 2015-10-07 07:32

Interesting result in the current batch still in progress:

New cycle found!!
3239412201878265
3811493198839815
3595320804401145
3313714967637255

I'll reserve 1100-1299.

AndrewWalker 2015-10-07 10:59

1 Attachment(s)
Latest lot finally finished last week (then I was away :-) )

I'll take 1300-1499

Drdmitry 2015-10-07 13:29

[QUOTE=frmky;412130]Interesting result in the current batch still in progress:

New cycle found!!
3239412201878265
3811493198839815
3595320804401145
3313714967637255

I'll reserve 1100-1299.[/QUOTE]

Great, congratulations! It is another aliquot cycle not known before. I will send it to David.
Please let me know if you want to be named differently to your forum nickname.

frmky 2015-10-07 18:05

1 Attachment(s)
Here's the full 1011-1099 batch. You can list credit as Greg Childers.

I'll take 1500-1699.

frmky 2015-10-08 20:38

1 Attachment(s)
I'll take 1700-1899.

Drdmitry 2015-10-08 21:25

[QUOTE=frmky;412259]I'll take 1700-1899.[/QUOTE]

Did you finish the range 1100 -- 1299? I can not find an output file for this range here.

frmky 2015-10-08 21:56

1 Attachment(s)
Just finished. It contains

1424287415882331
1356505589071269
1424408937136731
1495272042933669

frmky 2015-10-09 05:58

Another long one in the current batch:

9511984806289875 becomes too large

But it terminates in a prime after 54 terms.


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