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Old 2007-02-19, 15:38   #12
bdodson
 
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Quote:
Originally Posted by akruppa View Post
Your p60 isn't prime,
...
Cut-and-paste error? Alex
Also only has 59-digits; missing the leading 2. -bd (fumble-fingers)
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Old 2007-02-20, 05:47   #13
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Quote:
Originally Posted by bdodson View Post
... leaving a c122.
I haven't heard yet from the usual suspects,
but anyone considering polishing off the cofactor (please!) should make
sure that they have a reservation with Sam before starting. -Bruce
Nevermind, Paul_Z is running it under ggnfs. -Bruce
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Old 2007-07-20, 17:56   #14
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Default c248 --> c196, still snfs

Quote:
Originally Posted by garo View Post
Code:
Base	Index	Size	11M(45digits)	43M(50digits)	110M(55digits)	260M(60digits) Decimal
...
6	347+	C248	0(0.267423)	0(0.0522979)	165(0.00921839)	0(0.00148122)
10964338925092426088126948470446380066426543127625758260950563307023836679285462922290667662199737110776460215222333365311710483202526721433806593060755250025989735671706430973854039253697040115169671969414787046146621487945446241359724861879837297
2nd p52 today (the other on the 2- discussion thread, this subforum),
but at difficulty 270, the c196 cofactor isn't small enough (yet) for
gnfs to be easier.

p52 = 4254678785395250635090914262464410641424477007559249

-Bruce (that's 6, 347+)
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Old 2007-07-27, 02:26   #15
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Quote:
Originally Posted by garo View Post
Code:
Base    Index    Size    11M(45digits)    43M(50digits)    110M(55digits)    260M(60digits)    Decimal
...
6    371+    C243    0(0.267423)    0(0.0522979)    165(0.00921839)    0(0.00148122)    
708166466456643165057206014273219061287362177418529773038894112079445263158180620536201218854777490094565472668909080513640035584576532631736455633532917590922654920000520013129647589582761390400628750882982003943873373104640036387930965924231
...
No need for quibbling about this one,

p52 = 2783700126792688988335822421768098189386895987206391

finishes 6,371+. Remarkably uniform these post t50 factors --- the
Silverman-Wagstaff paragraph about re-estimating the most likely
factor size after a test finishes, which says that the likely size is just
another few digits larger than the previous estimate seems to be well
represented here. So best strategy after p50 is to look for p55; rather
than deciding that most of the p5xs were already swept up, and jumping
to p60. Not that I wouldn't be running B1 = 260M if our pcs had more
RAM installed (as I'm doing with the Opterons), choosing optimal memory
use rather than best strategy. Eight factors so far, a late-ish p49 and
an early p57, then five (!) p52's and a p53. -Bruce
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Old 2007-10-08, 09:19   #16
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Quote:
Originally Posted by bdodson View Post
No need for quibbling about this one,

p52 = 2783700126792688988335822421768098189386895987206391

finishes 6,371+. ...
This one also,

p60 = 151634244917416206035101114864937647283016448179107389644473

finishing 6, 292+ One on Bob's remaining 768-bit list of easier snfs
numbers. (Sorry for a double report, not sure whether the nfsnet
list wanted priority.) -Bruce
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Old 2007-10-08, 12:26   #17
fivemack
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6,289+ has been done [page103 of Cunningham tables; Irvine gnfs]

6,283+ has been done [page104 of Cunningham tables; Leyland snfs]

6,353+ has been reduced to a c178 by Dodson [pages 98 and 101 of Cunningham tables]

6,358+ has been reduced to a c163 by Dodson [pages 91 and 101 of Cunningham tables]

6,365+ c122 has been done [Zimmermann, gnfs, page 104 of Cunningham tables]

6,369+ c178 has been done [Hoogendoorn, snfs, page 104 of Cunningham tables]

6,387+ c162 has just been done [Silverman, snfs, page 106 of Cunningham tables]
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Old 2009-05-29, 03:24   #18
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Default 6,762M = p78 . p82

The log is attached.

Because it was a quartic, the FB limits were lop-sided and it worked out nicely. Interestingly, the sqrt was done modulo 53, because "no irreducible prime found, switching to small primes". Now, that was the last 6L/M number and the last one in all tables with difficulty under 200. There are some quartics left slightly above diff.200 (single "home"-computer type projects).

--Serge
Attached Files
File Type: zip 6M672.zip (3.1 KB, 207 views)

Last fiddled with by Batalov on 2009-05-29 at 16:24 Reason: 6,762M (indeed)
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Old 2009-05-29, 10:45   #19
R. Gerbicz
 
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That was 6,762M.
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Old 2009-08-12, 12:10   #20
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Default 6, 304+ C216 = p78*p138

Quote:
Originally Posted by bdodson View Post
...an "appalling" collection of seven
new first holes set by Serge. -Bruce
(from over on the (non-sticky) 2+ discussion). Here's the first
of the seven, 6, 304+ C216 = p78*p138, Batalov+Dodson snfs.

A Most wanted number from page 106. The other early wanted
numbers that are now first holes:
Code:
page 106:  

3,509+  c171   B+D snfs
6,304+  c216   done
11,229- c217  Edwards
12,233- c215     251.45  0.855  (snfs difficulty, sb ratio)
12,232+ c181     250.37  0.723 

page 107:

10,241+ c175  running
-Bruce
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Old 2009-08-12, 12:35   #21
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Quote:
Originally Posted by bdodson View Post
(from over on the (non-sticky) 2+ discussion). Here's the first
of the seven, 6, 304+ C216 = p78*p138, Batalov+Dodson snfs.
What are the factors?
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Old 2009-08-12, 12:46   #22
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BTW:

what about a link in the first post like this:

Fatoring Database Composites for 6+ beginning at n=300

and if so, for the other subthreads, too.
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