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 2012-01-04, 18:36 #1 firejuggler     Apr 2010 Over the rainbow 2×1,217 Posts aliquot escape in this thread we started taking about 'large' perfect driver escape escape from 2^30*(2^31-1)*x no escape in less than 20 iteration below x=600000 escape from 2^18*(2^19-1) *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?
 2012-01-04, 20:46 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 912410 Posts escape from 2^12*(2^13-1)*k k=49323 at i50 k=4215 at i76 k=7437 at i77 k=387 at i134 [FONT=Arial Narrow]? M=2^13-1;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*(2^17-1)*k k=3045 at i98 escape from 2^18*(2^19-1)*k k=149235 at i99 Last fiddled with by Batalov on 2012-01-04 at 21:26
2012-01-04, 21:17   #3
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

8,369 Posts

Quote:
 Originally Posted by Batalov escape from 2^12*(2^13-1)*k k=49323 at i50 k=4215 at i76 k=7437 at i77 k=387 at i134 [FONT=Arial Narrow]? M=2^13-1;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*(2^17-1)*k k=3045 at i98 escape from 2^18*(2^19-1)*k ...
you can make a for loop around it to check multiple M values as well.

Last fiddled with by science_man_88 on 2012-01-04 at 21:17

2012-01-04, 21:33   #4
10metreh

Nov 2008

2×33×43 Posts

Quote:
 Originally Posted by Batalov escape from 2^12*(2^13-1)*k k=49323 at i50 k=4215 at i76 k=7437 at i77 k=387 at i134
k=47 at i=247

2012-01-05, 02:35   #5
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

23A416 Posts

Quote:
 Originally Posted by Batalov escape from 2^16*(2^17-1)*k k=3045 at i98
k=5343 at i=240

 2012-01-05, 10:04 #6 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 100011101001002 Posts ...and k=11367 escapes at i=275
 2012-01-05, 11:45 #7 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22×2,281 Posts ... k=4545 at i=276 (same sequence)
 2012-01-05, 12:32 #8 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 632210 Posts At the risk of resembling RDS, isn't this a game identical to 'wait for a random number generator to output 131071' ?
2012-01-05, 13:15   #9
LaurV
Romulan Interpreter

Jun 2011
Thailand

885510 Posts

Quote:
 Originally Posted by fivemack At the risk of resembling RDS, isn't this a game identical to 'wait for a random number generator to output 131071' ?
It is more "wait for a kind of number generator to output 131071", but which kind, we don't know, and we try to guess. Everything but random!?!?

2012-01-05, 13:29   #10
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

100000101100012 Posts

Quote:
 Originally Posted by fivemack At the risk of resembling RDS, isn't this a game identical to 'wait for a random number generator to output 131071' ?
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.

2012-01-05, 18:52   #11
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

23A416 Posts

Quote:
 Originally Posted by fivemack At the risk of resembling RDS, isn't this a game identical to 'wait for a random number generator to output 131071' ?
Indeed -- and so is the whole aliquot business! :-)

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