Will Edgington wrote:
>>>
M( 27471827 )G: 288230414480354201 576460748539783185
M( 27471827 )J: 576460748539783185 576460790500150601
The G lines represent these gaps. Gaps have several causes, including
bugs in older software and the fact that Prime95 stops looking for
factors after finding one since it does not check possible factors in
numeric order.
<<<
I tested M27471827 to 2^64 using my Mfactor code, with no factor found,
so at least in that case you can replace the multiple factoring-data
lines in your database with the single one:
M( 27471827 )U: 18446744073709551616
(I also tested M32091881 to 65 bits, again with no factor found.)
Will, if you want to start a systematic effort to start closing gaps in
factoring data, I suggest calling for volunteers over at
mersenneforum.org (where most of us hang out these days). Given that
factoring M27471827 to 2^64 takes about an hour on decent 64-bit
hardware (AMD64,Alpha, Itanium), a couple dozen volunteers with such
machinery could get some serious work done.
-Ernst
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