3,766+ factored

log in

Advanced search

Message boards : News : 3,766+ factored

Author Message
Greg
Project administrator
Send message
Joined: 26 Jun 08
Posts: 581
Credit: 212,876,412
RAC: 30,886
Message 1353 - Posted: 1 Apr 2014, 22:34:13 UTC

3,766+ has been factored. It is the product of 66-digit, 75-digit, and 76-digit prime numbers. This is a new Cunningham project champion for GNFS. Let's now set a new record with 3,697+!

FreeBSD Daemon
Send message
Joined: 16 Feb 11
Posts: 5
Credit: 20,000,010
RAC: 0
Message 1356 - Posted: 2 Apr 2014, 9:47:20 UTC - in response to Message 1353.

Great! Huge amount of work, probably?
How about updating the "status of numbers" page? (Am I the only person regularly looking at it?)

TIA!

bdodson*
Send message
Joined: 2 Oct 09
Posts: 50
Credit: 93,047,298
RAC: 18,421
Message 1509 - Posted: 18 Mar 2015, 19:32:38 UTC - in response to Message 1353.

3,766+ has been factored. It is the product of 66-digit, 75-digit, and 76-digit prime numbers. This is a new Cunningham project champion for GNFS. Let's now set a new record with 3,697+!


In lieu of a much needed status update, 3,697+ was completed
and reported to the Cunningham site during February as c221=p67*p76*p78


6319 3, 697+ c221 2430596119059914710337969915407030131984125918638366960356417238051.
c154 NFS@Home gnfs

6320 3, 697+ c154 7294369040882787305640699831446454559916572630347346447156318424089217886547.
p78 NFS@Home gnfs


as compared with

6269 3, 766+ c216
303889341986146630791713973167874707042199651755239385807424842909.
c151 NFS@Home gnfs

6270 3, 766+ c151 626943698188540315697357582114234580866611225002057825604732642929274209337.
p76 NFS@Home gnfs

for the previous record.

That was

p67=2430596119059914710337969915407030131984125918638366960356417238051
-vs-
p66=303889341986146630791713973167874707042199651755239385807424842909

for the smallest factor. Current ecm-pretesting is fairly reliably
finding p65's, using standards set in pretests for these nfs@Home
gnfs's at c216, c221. Seems like one of these might have been found,
with a bit more luck.

Cunningham numbers currently reserved for nfs@Home include

206 2,2218M 91029105429371... 20.6t55=.8t65; reserv nfs@H, gnfs
208 10, 359- 47097509129120... 24.4t55=t65; reserv nfs@H, gnfs

If I recall, 3t60 =c. 15t55 was applied to these two record gnfs's.
I was muttering at the time that adding an additional 2t60 to a
completed 3t60 (for a c. t65) seemed too likely to be unproductive;
but I've since gotten used to it (more or less!).

-bdodson* (still 4th in total sieving creds; maybe 4th in ecm?
after four consecutive records)

Message boards : News : 3,766+ factored


Home | My Account | Message Boards