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2020-11-23, 23:04   #683
EdH

"Ed Hall"
Dec 2009

22·5·173 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 11×409 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

Jun 2011
Thailand

22×2,239 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

100100100102 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     Oct 2011 24×23 Posts Page updated. Many thanks to all for your help !

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