20120104, 18:36  #1 
Apr 2010
Over the rainbow
2^{4}×151 Posts 
aliquot escape
in this thread we started taking about 'large' perfect driver escape
escape from 2^30*(2^311)*x no escape in less than 20 iteration below x=600000 escape from 2^18*(2^191) *x 489885, at i.23 > end in a prime at i.221=97 538221 at i.22 572127 at i.29 have you found a 'deeper' escape? (more iteration)? have you found 'higher' driver escape? 
20120104, 20:46  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23A6_{16} Posts 
escape from 2^12*(2^131)*k
k=49323 at i50 k=4215 at i76 k=7437 at i77 k=387 at i134 [FONT=Arial Narrow]? M=2^131;forstep(k=1,100000,2,k2=k;for(j=1,180,if((k2=2*sigma(k2)k2)%M==0,if(j>50,print("k="k" at i" j));break)))[/FONT] escape from 2^16*(2^171)*k k=3045 at i98 escape from 2^18*(2^191)*k k=149235 at i99 Last fiddled with by Batalov on 20120104 at 21:26 
20120104, 21:17  #3  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:
Last fiddled with by science_man_88 on 20120104 at 21:17 

20120104, 21:33  #4 
Nov 2008
2·3^{3}·43 Posts 

20120105, 02:35  #5 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·3^{3}·13^{2} Posts 

20120105, 10:04  #6 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23A6_{16} Posts 
...and k=11367 escapes at i=275

20120105, 12:32  #8 
(loop (#_fork))
Feb 2006
Cambridge, England
6360_{10} Posts 
At the risk of resembling RDS, isn't this a game identical to 'wait for a random number generator to output 131071' ?

20120105, 13:15  #9 
Romulan Interpreter
Jun 2011
Thailand
2·3·31·47 Posts 

20120105, 13:29  #10 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
if doing aliquot sequences ( using sigma) is considered a random number generator ( because the next number isn't known beforehand) then yes it's like that but not a game.

20120105, 18:52  #11 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23A6_{16} Posts 

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