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kar_bon 2009-04-09 14:51

3^12 from AQ 2514
 
[code]
2626 : 5166157449680272999393201080 = 2^3 * 3^4 * 5 * 11 * 229 * 632986518469541729693
2627 : 13859138544047661044981540520 = 2^3 * 3^8 * 5 * 11 * 103 * 167 * 521 * 3659 * 146406275777
2628 : 38082648828170336283684469080 = 2^3 * 3^12 * 5 * 1055437 * 6816361 * 249015971
2629 : 90446351500239637504377630600 = 2^3 * 3^3 * 5^2 * 19 * 1063 * 473741 * 1750529584480507
2630 : 237796980036311526340658657400 = 2^3 * 3^3 * 5^2 * 19 * 2317709357079059710922599
[/code]

kar_bon 2009-04-09 14:57

Highest power of 2: 2^19 from 8040
 
[code]
0088 : 908454368395514 = 2 * 454227184197757
0089 : 454227184197760 = 2^7 * 5 * 17 * 43 * 970902839
0090 : 722274041200640 = 2^19 * 5 * 17 * 16207393
0091 : 1113150120462760 = 2^3 * 5 * 1891007 * 14716367
0092 : 1391439145242200 = 2^3 * 5^2 * 239 * 1061 * 1907 * 14387
[/code]

10metreh 2009-04-09 15:16

[quote=kar_bon;168651][code]
0088 : 908454368395514 = 2 * 454227184197757
0089 : 454227184197760 = 2^7 * 5 * 17 * 43 * 970902839
0090 : 722274041200640 = 2^19 * 5 * 17 * 16207393
0091 : 1113150120462760 = 2^3 * 5 * 1891007 * 14716367
0092 : 1391439145242200 = 2^3 * 5^2 * 239 * 1061 * 1907 * 14387
[/code][/quote]

Thinking of high powers of 2:

Run "aliqueit 100651008". You will get a shock.

Andi47 2009-04-09 16:31

[QUOTE=10metreh;168653]Thinking of high powers of 2:

Run "aliqueit 100651008". You will get a shock.[/QUOTE]

Do you mean that [TEX]2^{12}*8191[/TEX] driver?

10metreh 2009-04-09 16:45

[quote=Andi47;168663]Do you mean that [tex]2^{12}*8191[/tex] driver?[/quote]

Yep, well spotted. :smile: The problem is you need it to change to 2^12*8191^2 - how rare is that? I wonder whether 100651008 ever escapes it! I was thinking that a more inexperienced person in aliquot sequences would not notice the 8191 immediately and not realise why the 2^12 kept hanging on.

henryzz 2009-04-09 18:02

[quote=10metreh;168665]Yep, well spotted. :smile: The problem is you need it to change to 2^12*8191^2 - how rare is that? I wonder whether 100651008 ever escapes it! I was thinking that a more inexperienced person in aliquot sequences would not notice the 8191 immediately and not realise why the 2^12 kept hanging on.[/quote]
Is 100651008 a side sequence of something that has been taken to 80 or 100 digits?

10metreh 2009-04-09 18:28

[quote=henryzz;168670]Is 100651008 a side sequence of something that has been taken to 80 or 100 digits?[/quote]

No, but it may well be a side-sequence of an unworked sequence.

mklasson 2009-04-10 16:28

[QUOTE=10metreh;168618]A record escape from the 2^6*127 driver at 105 digits from mdettweiler: (Directly to the downdriver too.)
[/QUOTE]

In this vain vein, how about this cute escape from 2^6*127 prefixed by a cubing of the 127 on the line before (from 103920):
[code]
2808 . 10444192963334529439960528322757274961873592360165927541421722296983352666960715045696 = 2^6 * 61 * 127^3 * 2797 * 130827401 * 7473474193069 * 29329571073476293 * 16283002295513626058193249706431347
2809 . 10795533033779996426764741785132961926125500619485866725877386593082726886863141184704 = 2^6 * 127^2 * 19571 * 369196501 * 1447391711847477256767185041805745248565035243484876448644241985629
2810 . 10797964568027775645118234540310689970133904303557663849788349508173570197641727715376 = 2^4 * 127 * 1787 * 70365756707 * 744646521619927660861061410418507 * 56752123260273726536765271414707111
[/code]

and 128370 just went from 2^8 to a downdriver at a height of 124 :party:
[code]
3645 . 1511634284911255639343311823523603995319243151784026839866525757409584613957260824093267942025556783702092330124999795963136 = 2^8 * 5904821425434592341184811810639078106715793561656354843228616239881189898270550094114327898537331186336298164550780452981
3646 . 1505729463485821047002127011712964917212527358222370485023297141169703424058990273999153614127019452515756031960449015510666 = 2 * 19 * 136399 * 49239977 * 282107716702711 * 20913145467582219848272735343244054951179210813996214334933644982844731511477982744127871625319
[/code]

Speaking of 128370, I notice it's one of the missing files on your 100k-200k page, Frank. Is the previous work for that seq coming or should I let an idle computer redo it a couple of nights?

Andi47 2009-04-10 18:42

[QUOTE=10metreh;168665]Yep, well spotted. :smile: The problem is you need it to change to 2^12*8191^2 - how rare is that? I wonder whether 100651008 ever escapes it! [/quote]

I have run it for a few hours (and [URL="http://factorization.ath.cx/search.php?aq=100651008&action=last&fr=&to="]uploaded[/URL] the .elf file to the database) - at least it doesn't escape 'till line 616.

[quote]I was thinking that a more inexperienced person in aliquot sequences would not notice the 8191 immediately and not realise why the 2^12 kept hanging on.[/QUOTE]

I also had to take a second look when I was seeing the persistent 2^12, but I did know what to look for.

And there are yet [URL="http://factorization.ath.cx/search.php?aq=16191903170560&action=last&fr=&to="]more drivers like this[/URL]... :grin:

10metreh 2009-04-10 18:56

[quote=Andi47;168801]I have run it for a few hours (and [URL="http://factorization.ath.cx/search.php?aq=100651008&action=last&fr=&to="]uploaded[/URL] the .elf file to the database) - at least it doesn't escape 'till line 616.



I also had to take a second look when I was seeing the persistent 2^12, but I did know what to look for.

And there are yet [URL="http://factorization.ath.cx/search.php?aq=16191903170560&action=last&fr=&to="]more drivers like this[/URL]... :grin:[/quote]

I wonder how the aliquot sequence of M43112609*2^43112608*3 progresses... :smile:

Andi47 2009-04-10 19:39

[QUOTE=10metreh;168805]I wonder how the aliquot sequence of M43112609*2^43112608*3 progresses... :smile:[/QUOTE]

I guess that no driver escape will be found before the universe ends. :wink:


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