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-   -   Sequence terminations and merges (https://www.mersenneforum.org/showthread.php?t=11837)

Dubslow 2012-09-02 06:05

First!!!
 
"[URL="http://www.mersenneforum.org/showpost.php?p=309958&postcount=109"]Sequence[/URL] merges with earlier sequence [URL="http://factordb.com/sequences.php?se=1&aq=577006&action=last20&fr=0&to=100"]577006[/URL]."

:party:

To be clear, 734760 terminates/merges after an interesting battle that I wasn't following closely, but makes for an excellent [URL="http://factordb.com/aliquot.php?type=1&aq=734760&big=1"]graph[/URL].

Edit: Going through the aliqueit, here's some interesting stuff:
[code]1874 .i c67 = 1619215175691622812351517420770550868063573532256738094125578064192 = 2^6 * 107^2 * 2209820693526212458991393108528243280067546199800116404988397 : Decreased!
1875 .i c67 = 1624224839203846735996050908947584395579486659491684958015688227930 = 2 * 5 * 103 * 1709 * 30013 * 45949 * 669085145361807533409397286120306054650868448877907 : Downdriver![/code]
That's a lot of power of 2 to drop in one line.
[code]2252 .i c9 = 270531122 = 2 * 135265561 : Decreased!
2253 .i c9 = 135265564 = [U]2^2 * 7[/U] * 4830913 : Decreased!
2254 .i c9 = 135265620 = 2^2 * 3 * 5 * 7 * 443 * 727 : Driver: 2^2 * 7
2255 .i c9 = 299158188 = 2^2 * 3 * 7 * 3561407 : Driver: 2^2 * 7
2256 .i c9 = 498597204 = 2^2 * 3 * 7 * 167 * 35543 : Driver: 2^2 * 7
2257 .i c9 = 838994604 = 2^2 * 3 * 7 * 349 * 28619 : Driver: 2^2 * 7
2258 .i c10 = 1404813396 = 2^2 * 3 * 7 * 317 * 52757 : Driver: 2^2 * 7
2259 .i c10 = 2353244460 = 2^2 * 3 * 5 * 7 * 743 * 7541 : Driver: 2^2 * 7
2260 .i c10 = 5188272852 = 2^2 * 3 * 7 * 59 * 1046867 : Driver: 2^2 * 7
2261 .i c10 = 8881633068 = 2^2 * 3 * 7 * 11 * 17 * 19 * 29759 : Driver: 2^2 * 7
2262 .i c11 = 19916523732 = 2^2 * 3 * 7^2 * 33871639 : Guide: 2^2 with 3
2263 .i c11 = 34142613708 = 2^2 * 3 * 7 * 379 * 983 * 1091 : Driver: 2^2 * 7
2264 .i c11 = 57321209652 = 2^2 * 3 * 7 * 283 * 2411291 : Driver: 2^2 * 7
2265 .i c11 = 96075542220 = 2^2 * 3 * 5 * 7 * 2731 * 83761 : Driver: 2^2 * 7
2266 .i c12 = 211482439476 = 2^2 * 3 * 7 * 11^2 * 283 * 73523 : Driver: 2^2 * 7
2267 .i c12 = 410598830796 = 2^2 * 3 * 7 * 11 * 444371029 : Driver: 2^2 * 7
2268 .i c12 = 783870497844 = 2^2 * 3 * 7 * 10357 * 901013 : Driver: 2^2 * 7
2269 .i c13 = 1306654976844 = 2^2 * 3^4 * 7 * 576126533 : Driver: 2^2 * 7
2270 .i c13 = 2597178417540 = 2^2 * 3 * 5 * 7 * 6183758137 : Driver: 2^2 * 7
2271 .i c13 = 5713792519932 = 2^2 * 3^2 * 7 * 99761 * 227281 : Driver: 2^2 * 7
2272 .i c14 = 10792957291620 = 2^2 * 3 * 5 * 7 * 25697517361 : Driver: 2^2 * 7
2273 .i c14 = 23744506042908 = 2^2 * 3^2 * 7 * 94224230329 : Driver: 2^2 * 7
2274 .i c14 = 44850733637332 = 2^2 * 7 * 311 * 5150520629 : Driver: 2^2 * 7
2275 .i c14 = 45139162810028 = 2^2 * 7 * 37 * 167 * 9721 * 26839 : Driver: 2^2 * 7
2276 .i c14 = 48147387543892 = 2^2 * 7 * 13 * 4261 * 31042723 : Driver: 2^2 * 7
2277 .i c14 = 55579018771500 = 2^2 * 3 * 5^3 * 7 * 5293239883 : Driver: 2^2 * 7
2278 .i c15 = 129387955734996 = 2^2 * 3 * 7^2 * 220047543767 : Guide: 2^2 with 3
2279 .i c15 = 221807924118732 = 2^2 * 3 * 7 * 103 * 21647 * 1184303 : Driver: 2^2 * 7
2280 .i c15 = 375450567342900 = 2^2 * 3 * 5^2 * 7 * 352601 * 507049 : Driver: 2^2 * 7
2281 .i c15 = 866045278087500 = 2^2 * 3 * 5^5 * 7 * 17 * 37 * 43 * 223 * 547 : Driver: 2^2 * 7
2282 .i c16 = 2366299006637748 = 2^2 * 3 * 7 * 13 * 131 * 1283 * 1601 * 8053 : Driver: 2^2 * 7
2283 .i c16 = 4491569378597196 = 2^2 * 3 * 7 * 61 * 163 * 5377759633 : Driver: 2^2 * 7
2284 .i c16 = 7756988052109492 = 2^2 * 7 * 61 * 1011671 * 4489169 : Driver: 2^2 * 7
2285 .i c16 = 8011334628147788 = 2^2 * 7 * 503 * 568825236307 : Driver: 2^2 * 7
2286 .i c16 = 8043188841409204 = 2^2 * 7 * 17 * 59 * 286397551681 : Driver: 2^2 * 7
2287 .i c16 = 9278135084318156 = 2^2 * 7 * 331361967297077 : Driver: 2^2 * 7
2288 .i c16 = 9278135084318212 = 2^2 * 7 * 37 * 773 * 11585677679 : Driver: 2^2 * 7
2289 .i c16 = 9804310223434748 = 2^2 * 7 * 2865949 * 122177309 : Driver: 2^2 * 7
2290 .i c16 = 9804317225857252 = 2^2 * 7^2 * 97 * 229 * 257 * 8762357 : No 3
2291 .i c17 = 10527093148242188 = [U]2^2 * 7^2 * 53709658919603[/U] : No 3
2292 .i c17 = 10903060760679808 = 2^7 * 7 * 12168594598973 : No 3[/code]
Phew!

Batalov 2012-09-02 06:13

Congrats!

It is very much like a pinball machine - you have to play quite a few games until you get to a happy end.

Dubslow 2012-09-06 19:26

677430 of [URL="http://www.mersenneforum.org/showpost.php?p=310105&postcount=114"]this lot[/URL] terminates.
[code]2073 .i c6 = 588392 = 2^3 * 7^2 * 19 * 79 : Decreased!
Sequence merges with earlier sequence 588392.[/code]
That sequence only lasts ~30 lines, so it terminates at
[code]Checked 2102 2 (show) 59 = 59[/code]
...with a max height of 118 digits, reached only a few lines after breaking the driver:
[code]Checked 655 118 (show) 1867351158...56<118> = 2^2 · 7^2 · 239567104639814012756217052238240717<36> · 3976882320...33<80>
Checked 656 118 (show) 1934042271...32<118> = 2^3 · 7 · 37 · 1213 · 19051 · 2969593204541<13> · 34677879744682103<17> · 1282467510923552475327096910671579083<37> · 305845267094708598729867202308976735148593<42>
Checked 657 118 (show) 2326076774...08<118> = 2^3 · 7 · 109 · 120349 · 152866261820455327973<21> · 12064048475791275933943<23> · 135679246688831813819042687<27> · 12654613669074368125770986956451655287161<41>
Checked 658 118 (show) 2704144154...92<118> = 2^3 · 7 · 701 · 2179 · 801441160769<12> · 3944526889...57<98>
Checked 659 118 (show) 3101379729...08<118> = 2^3 · 322501 · 80691551 · 112067623 · 4105354711<10> · 14240451033437<14> · 1331478428814606321546272385884869501<37> · 1707721715734381406293830408760095241<37>
Checked 660 118 (show) 2713725419...52<118> = 2^3 · 103 · 719 · 66715971671681<14> · 169916593986745091<18> · 290556262169730075679<21> · 827379496633446896863<21> · 1680773518051583602506393376025744527951<40>[/code]

Batalov 2012-09-06 20:53

Gratz again! You're getting the hang of it!

Batalov 2012-09-17 03:38

574344
 
[QUOTE="Clifford Stern"]My efforts to obtain a new terminating sequence have hit a multi-year dry spell.
However, I managed to get a new merger today:

574344:i2514 = 5748:i15 = 246584

I think this is a new high (124) for a sequence before merging. I begain working on
it August 9th when it was at 800. 2^2 * 3^2 sz 118.

Please post this result on the Forum. I've done the upload to the database.

-Clifford
[/QUOTE]
Congratulations to Clifford!

Dubslow 2012-09-17 05:07

[QUOTE=Batalov;311922]Congratulations to Clifford![/QUOTE]

:party:

Just so no one's confused, I'd like to leave it in my page to see if the merge is detected by my script.

[SIZE="1"]PS If he's in communication, would you mind asking him if [URL="http://dubslow.tk/aliquot/analysis.html"]this[/URL] and [URL="http://dubslow.tk/aliquot/aliquot.html"]this[/URL] are okay? (He does know his site has been down for a while, right?)[/SIZE]

schickel 2012-09-17 07:21

[QUOTE=Batalov;311922]Congratulations to Clifford![/QUOTE]Direct email? I have not heard from him since November.....:down:

Congrats, and good to see he's still in the game!

schickel 2012-09-17 08:18

Hmmm....interesting! Check this out:[QUOTE="Clifford Stern"]My efforts to obtain a new terminating sequence have hit a multi-year dry spell.
However, I managed to get a new merger today:

574344:i2514 = 5748:i15 = 246584

......

Please post this result on the Forum. I've done the upload to the database.

-Clifford
[/QUOTE][code] 438966 unconnected 11 Feb 2012 116 4720 [COLOR="Blue"]Merge with 5748 [/COLOR]
767976 unconnected 1 Jan 2010 80 1386 [COLOR="blue"]Merge with 5748[/COLOR][/code]In fact, this is even more interesting!!![code]767976:i1386 = 5748:i15 = [COLOR="Green"]246584[/COLOR]
438966:i4720 = 5748:i15 = [COLOR="Green"]246584[/COLOR][/code][quote=Clifford Stern]
I think this is a new high (124) for a sequence before merging. I begain working on
it August 9th when it was at 800. 2^2 * 3^2 sz 118.[/quote]Not quite (second highest, though!):[code] 816792 Greebley ?? Dec 2011 [COLOR="Red"]126[/COLOR] 3946 Merge with 36348[/code]

wolfcrey 2012-09-17 12:43

[QUOTE=schickel;311940]Hmmm....interesting! Check this out:[code] 438966 unconnected 11 Feb 2012 116 4720 [COLOR=blue]Merge with 5748 [/COLOR]
767976 unconnected 1 Jan 2010 80 1386 [COLOR=blue]Merge with 5748[/COLOR][/code]In fact, this is even more interesting!!![code]767976:i1386 = 5748:i15 = [COLOR=green]246584[/COLOR]
438966:i4720 = 5748:i15 = [COLOR=green]246584[/COLOR][/code]Not quite (second highest, though!):[code] 816792 Greebley ?? Dec 2011 [COLOR=red]126[/COLOR] 3946 Merge with 36348[/code][/QUOTE]


Congratulations to Clifford from Aachen
Wolfgang

Dubslow 2012-09-23 21:58

[QUOTE=Dubslow;311929]
Just so no one's confused, I'd like to leave it in my page to see if the merge is detected by my script.
[/QUOTE]
[code]2012-09-17 - 18:47:01 Merge finder starting

2012-09-18 - 18:47:01 Merge finder starting

2012-09-19 - 18:47:01 Merge finder starting

2012-09-20 - 18:47:01 Merge finder starting

2012-09-21 - 18:47:01 Merge finder starting

2012-09-22 - 18:47:01 Merge finder starting
2012-09-22 - 18:47:01 574344 seems to have merged with 5748[/code]
:cool:

fivemack 2012-11-29 01:33

End of quite a long drought
 
19494 ends at p=37 after 3417 iterations, maximum size was 120 digits at iteration 1547.

(if you're being pedantic, it probably merged with 11792 at iteration 3251)


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