3,637+ factors
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3,637+ factors
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Send message Joined: 26 Jun 08 Posts: 646 Credit: 476,077,208 RAC: 163,491 |
The composite cofactor of 3,637+ was the product of 63-digit, 66-digit, and 109-digit prime numbers: 63-digit prime factor: 146653942939676501492528967729962226235222591603243036129895041 66-digit prime factor: 281492062846509383614609316625232146351554744294280968767884161701 109-digit prime factor: 6224453161048991898758218648741426180592061927925707078089776778181066640120779850430389525264538633126800183 Thanks go to M. Vang for performing the postprocessing. The factors have been reported to the Cunningham project and have been recorded on Page 125. |
Send message Joined: 26 Sep 09 Posts: 218 Credit: 22,841,893 RAC: 0 |
How much ecm was done on this integer? |
Send message Joined: 2 Oct 09 Posts: 50 Credit: 111,128,218 RAC: 0 |
How much ecm was done on this integer? Same thing I was wondering on seeing p63*p66. Looks like 26,987 curves with Using B1=400000000, B2=5821851770290, polynomial Dickson(30) with GMP-ECM 6.3 (Dec 2011) and 6.4 (May, 2012). This was supposed to be a test sufficient to find a p60 to probability of 62%; the limits are non-trivially above p60-optimal (B1=260M), but well below p65-optimal (B1=850M). This was a 15e number? If I recall, I went to 2t60 on the most recent 16e pretest, but even that wouldn't have given very substantial odds at finding one of p63, p66. Maybe 50-50, if I'd doubled my curve count. Good you've asked though; how much do we have on 11p301 and 11m301? I've just finished .6t60 on the c210 and .4t60 on the c261 as initial passes for this recent extension to the Cunningham lists. Not sure whether Sam got his "usual" t60 before adding the extension; as these two most recent ones were added early (to catch the p79 record!). Perhaps it's worth adding some more? -bdodson (not sure that my p70 will stay in the top5 for 2012!) |
Send message Joined: 26 Sep 09 Posts: 218 Credit: 22,841,893 RAC: 0 |
bdodson , I really though it was an ecm miss when I saw those p63*p66, that's why I was wondering, like you, how much ecm was done. You answered my question. BTW, aren't you going to go after first place here at NFS@Home? It would also be a way to quickly finish 2,1037- sieve until the end of the year. Carlos |
Send message Joined: 2 Oct 09 Posts: 50 Credit: 111,128,218 RAC: 0 |
bdodson , I'm happy to see Greg in first place. The University discontinued the semi-public linux labs that I was using for most of the nfs@Home computing I was doing. Those were commodity quadcores. I ran some on the replacement research machines, but nfs sieving was causing them to need occasional rebooting, which meant asking sysadmin assistance instead of heading over to a lab where I could hit reboot. I'm still doing gnfs sieving on our research machines, just not on Boinc - they're run under a PBS scheduler, and don't allow interactive logins. -Bruce (11p301 tested to t60, working on 11m301) |