mersenneforum.org Aliquot sequences that start on the integer powers n^i
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

2020-11-23, 23:04   #683
EdH

"Ed Hall"
Dec 2009

101016 Posts

Quote:
 Originally Posted by EdH . . . I will do even more study and post something extra later. . .
I reran the above using only 24 and came up with 70 unbroken and 296 broken. This shouldn't be too far off. Some variations may not be considered, but the runs still appear to break much more often than not.

Perhaps I should look at other drivers/guides?

I can't seem to find the page which describes the difference between drivers and guides. Is it still available somewhere?

 2020-11-23, 23:34 #684 VBCurtis     "Curtis" Feb 2005 Riverside, CA 117178 Posts Squaring the 31 is the manner in which one breaks 2^4 * 31. Other powers of 2 would not be a driver; only the perfect number 496 = 2^4 * 31 is a driver. I believe the same is true for the other perfect numbers: Square the 3 or 7 or 127 to escape.
2020-11-24, 05:02   #685
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

265016 Posts

Quote:
 Originally Posted by VBCurtis I believe the same is true for the other perfect numbers: Square the 3 or 7 or 127 to escape.
Yep. There is a thread discussing the math, somewhere here around.

2020-11-25, 04:49   #686
richs

"Rich"
Aug 2002
Benicia, California

25508 Posts

Quote:
 Originally Posted by richs 439^40 is now at i554 (added 515 lines) and a C122 level with a 2^2 * 5 * 7 driver, so I will drop this reservation. The remaining C116 term is well ecm'ed and is ready for nfs. Taking 439^42 at i15 and 439^44 at i2.
439^42 is now at i65 (added 50 lines) and a C131 level with a 2^3 * 3 * 5 driver so I will drop this reservation. The remaining C126 term is well ecm'ed and is ready for GNFS.

Continuing with 439^44.

 2020-11-29, 10:50 #687 garambois     "Garambois Jean-Luc" Oct 2011 France 5·137 Posts Page updated. Many thanks to all for your help !
 2020-12-06, 15:03 #688 unconnected     May 2009 Russia, Moscow 2×17×79 Posts I'm done with base 79 - all sequences in the table are >120 digits with >110 ECM-ed composites. Also I did some work with odd k's above the limit, will post results later.
2020-12-06, 15:50   #689
garambois

"Garambois Jean-Luc"
Oct 2011
France

10101011012 Posts

Quote:
 Originally Posted by unconnected I'm done with base 79 - all sequences in the table are >120 digits with >110 ECM-ed composites.
OK, I will make the next update in one or two weeks.

Quote:
 Originally Posted by unconnected Also I did some work with odd k's above the limit, will post results later.
All right, keep me posted. I can always extend the base by adding more exponents.

Many thanks !

 2020-12-13, 12:13 #690 RichD     Sep 2008 Kansas 66038 Posts One of the next logical tables would be 242 (2 * 11^2). I've taken it to i=52. Edit: Updates to tables 29, 220, 284. Last fiddled with by RichD on 2020-12-13 at 12:16
2020-12-13, 15:02   #691
garambois

"Garambois Jean-Luc"
Oct 2011
France

5×137 Posts

Quote:
 Originally Posted by RichD One of the next logical tables would be 242 (2 * 11^2). I've taken it to i=52. Edit: Updates to tables 29, 220, 284.

I will update all the bases on the weekend of December 20th.
And I will also add the base 242 that you calculated.
Thus, the base 200 = 2 * 10^2 will be missing, if you like the bases for which the calculations end for all the exponents. These bases will be interesting for future analyses.

2020-12-13, 17:43   #692
RichD

Sep 2008
Kansas

3×1,153 Posts

Quote:
 Originally Posted by garambois Thus, the base 200 = 2 * 10^2 will be missing, if you like the bases for which the calculations end for all the exponents. These bases will be interesting for future analyses.
I'm on it.

 2020-12-13, 17:52 #693 garambois     "Garambois Jean-Luc" Oct 2011 France 12558 Posts OK, many thanks for your help !

 Similar Threads Thread Thread Starter Forum Replies Last Post fivemack FactorDB 46 2021-02-21 10:46 schickel FactorDB 18 2013-06-12 16:09 garambois Aliquot Sequences 34 2012-06-10 21:53 Andi47 FactorDB 21 2011-12-29 21:11 schickel mersennewiki 0 2008-12-30 07:07

All times are UTC. The time now is 07:40.

Mon Dec 6 07:40:33 UTC 2021 up 136 days, 2:09, 0 users, load averages: 1.37, 1.38, 1.36