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Old 2020-11-23, 23:04   #683
EdH
 
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"Ed Hall"
Dec 2009
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. . .
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?
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Old 2020-11-23, 23:34   #684
VBCurtis
 
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"Curtis"
Feb 2005
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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.
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Old 2020-11-24, 05:02   #685
LaurV
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Quote:
Originally Posted by VBCurtis View Post
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.
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Old 2020-11-25, 04:49   #686
richs
 
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Aug 2002
Benicia, California

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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.
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Old 2020-11-29, 10:50   #687
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Oct 2011

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Page updated.
Many thanks to all for your help !
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