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 2009-04-09, 14:51 #12 kar_bon     Mar 2006 Germany 2×3×52×19 Posts 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
 2009-04-09, 14:57 #13 kar_bon     Mar 2006 Germany 2×3×52×19 Posts 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
2009-04-09, 15:16   #14
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by kar_bon 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
Thinking of high powers of 2:

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

2009-04-09, 16:31   #15
Andi47

Oct 2004
Austria

46478 Posts

Quote:
 Originally Posted by 10metreh Thinking of high powers of 2: Run "aliqueit 100651008". You will get a shock.
Do you mean that $2^{12}*8191$ driver?

2009-04-09, 16:45   #16
10metreh

Nov 2008

44228 Posts

Quote:
 Originally Posted by Andi47 Do you mean that $2^{12}*8191$ driver?
Yep, well spotted. 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.

Last fiddled with by 10metreh on 2009-04-09 at 16:46

2009-04-09, 18:02   #17
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

5×31×37 Posts

Quote:
 Originally Posted by 10metreh Yep, well spotted. 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.
Is 100651008 a side sequence of something that has been taken to 80 or 100 digits?

2009-04-09, 18:28   #18
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by henryzz Is 100651008 a side sequence of something that has been taken to 80 or 100 digits?
No, but it may well be a side-sequence of an unworked sequence.

2009-04-10, 16:28   #19
mklasson

Feb 2004

2·3·43 Posts

Quote:
 Originally Posted by 10metreh A record escape from the 2^6*127 driver at 105 digits from mdettweiler: (Directly to the downdriver too.)
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
and 128370 just went from 2^8 to a downdriver at a height of 124
Code:
3645 .	 1511634284911255639343311823523603995319243151784026839866525757409584613957260824093267942025556783702092330124999795963136 = 2^8 * 5904821425434592341184811810639078106715793561656354843228616239881189898270550094114327898537331186336298164550780452981
3646 .	 1505729463485821047002127011712964917212527358222370485023297141169703424058990273999153614127019452515756031960449015510666 = 2 * 19 * 136399 * 49239977 * 282107716702711 * 20913145467582219848272735343244054951179210813996214334933644982844731511477982744127871625319
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?

2009-04-10, 18:42   #20
Andi47

Oct 2004
Austria

7×353 Posts

Quote:
 Originally Posted by 10metreh Yep, well spotted. 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 have run it for a few hours (and uploaded 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.
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 more drivers like this...

2009-04-10, 18:56   #21
10metreh

Nov 2008

2·33·43 Posts

Quote:
 Originally Posted by Andi47 I have run it for a few hours (and uploaded 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 more drivers like this...
I wonder how the aliquot sequence of M43112609*2^43112608*3 progresses...

2009-04-10, 19:39   #22
Andi47

Oct 2004
Austria

7×353 Posts

Quote:
 Originally Posted by 10metreh I wonder how the aliquot sequence of M43112609*2^43112608*3 progresses...
I guess that no driver escape will be found before the universe ends.

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