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-   -   6+ table (https://www.mersenneforum.org/showthread.php?t=3576)

bdodson 2007-02-19 15:38

[QUOTE=akruppa;98948]Your p60 isn't prime,
...
Cut-and-paste error? Alex[/QUOTE]

Also only has 59-digits; missing the leading 2. -bd (fumble-fingers)

bdodson 2007-02-20 05:47

[QUOTE=bdodson;98947] ... 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
[/QUOTE]

Nevermind, Paul_Z is running it under ggnfs. -Bruce

bdodson 2007-07-20 17:56

c248 --> c196, still snfs
 
[QUOTE=garo;48285][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
[/CODE][/QUOTE]

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+)

bdodson 2007-07-27 02:26

[QUOTE=garo;48287][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
... [/code][/QUOTE]

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

bdodson 2007-10-08 09:19

[QUOTE=bdodson;111221]No need for quibbling about this one,

p52 = 2783700126792688988335822421768098189386895987206391

finishes 6,371+. ...[/QUOTE]

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

fivemack 2007-10-08 12:26

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]

Batalov 2009-05-29 03:24

6,762M = p78 . p82
 
1 Attachment(s)
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

R. Gerbicz 2009-05-29 10:45

That was 6,762M.

bdodson 2009-08-12 12:10

6, 304+ C216 = p78*p138
 
[QUOTE=bdodson;184267] ...an "appalling" collection of seven
new first holes set by Serge. -Bruce
[/QUOTE]

(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 [/code]
-Bruce

Andi47 2009-08-12 12:35

[QUOTE=bdodson;185107](from over on the (non-sticky) 2+ discussion). Here's the first
of the seven, 6, 304+ C216 = p78*p138, Batalov+Dodson snfs.
[/QUOTE]

What are the factors?

kar_bon 2009-08-12 12:46

BTW:

what about a link in the first post like this:

[url=http://factordb.com/search.php?query=6%5En%2B1&v=n&n=300&EC=1&E=1&Prp=1&C=1&CF=1&of=H&pp=100&se=Update]Fatoring Database Composites for 6+ beginning at n=300[/url]

and if so, for the other subthreads, too.


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