Another tiddler falls to ecm - M32029
 

Really small one this time

ECM found a factor in curve #394, stage #2
Sigma=3746395036922586, B1=3000000, B2=400000000.
UID: nitro/haswell, M32029 has a factor: 1113056753632810717273106103120689 (ECM curve 394, B1=3000000, B2=400000000)

109.778 bits...

Well done, Gordon. I will soon return to those small ranges. And also resume running some GMP-ECM curves on M1277...
A couple of days ago an even smaller one was wiped out by Carsten Kossendey. Somewhere in the 14K range, if memory serves me.

[QUOTE=lycorn;415749]Well done, Gordon. I will soon return to those small ranges. And also resume running some GMP-ECM curves on M1277...
A couple of days ago an even smaller one was wiped out by Carsten Kossendey. Somewhere in the 14K range, if memory serves me.[/QUOTE]

Thanks, testing in this range is quite quick

P95 does the stage one in just over 3 minutes (B1=3M) and GMP-ECM does the stage in just over 2 minutes (B2=400M)

As for 1277, I've run 120,000 curves on it.

The report says that T60 is complete but of course with the earlier discussion on here and looking at the actual results turned in I wonder if it is worth running a few hundred more curves with B1 at 11M & 44M...it won't take long

[QUOTE=Gordon;415750]
As for 1277, I've run 120,000 curves on it.

The report says that T60 is complete but of course with the earlier discussion on here and looking at the actual results turned in I wonder if it is worth running a few hundred more curves with B1 at 11M & 44M...it won't take long[/QUOTE]

120,000 curves sounds like a lot of effort, so I looked at the detailed status page. I was sad to learn they were totally useless, 70k curves at B1 = 50k and 50k curves at B1 = 1M. Congrats, you've done about 2t40, when something on the order of 600t40 are complete.

Since you believe the summary report is useless, how about you look at the detailed report for 1277? Add up the number of curves submitted at B1 = 800M or higher. Give triple credit for B1 = 2.5G or higher. If that adds up to 7200 or higher, a t55 is complete just from automated submissions (never mind that most of us who ran curves on m1277 submitted them manually). There's a bunch of curves at 260M too, which are pretty likely to find a factor at 55-digit level.... not to mention the actual 110M t55 curves from the distant past.

Suggesting that 11m or 44m curves are of use suggests you don't believe that bigger B1 bounds will find factors of the size you think might be out there. 1500 curves at B1 = 800M is a t50, whether the smaller curves were run or not. By the time 5000 curves are run at 800M, the chances of a missed factor at 50 digits is roughly 1 in e^3, if such a factor exists.

Given the amount of manually-submitted curves George has received, and the attention this particular number has had over the years, you really should trust that multiple t55 have been completed. This is not to claim that the summary report is accurate, but even cutting the reported work in half leaves something on the order of 6t55 done. Cut it in half again, since you're paranoid, and 3t55 is a very very conservative estimate for the work completed. That's about a t50 20 times over, leaving a 1 in e^20 chance of a missed factor (if one exists) and your 44M curves utterly useless. So, don't wonder.

I second VBCurtis. Go straight to B1=800M.

[Fri Nov 13 22:49:50 2015]
P-1 found a factor in stage #2, B1=635000, B2=12700000, E=6.
UID: firejuggler, M73779743 has a factor: 42881501664078549487591 (P-1, B1=635000, B2=12700000, E=6),

very smooth, k= 3* 5 * 139 * 163 * 223 * 661 * 5801 ·

in fact, I do not understand why it wasn't found in stage #1

P-1 found a factor in stage #2, B1=5000000, B2=100000000, E=12.
UID: Sergiosi, M1153223 has a factor: 4573105889235910801109267528278073569467723559031741597532613079 (P-1, B1=5000000, B2=100000000, E=12)

composite factor (211.475 bits) with the prime factors

2284688470854204790322774231 (90.884 bits)
2001632147041083037742434439494795009 (120.591 bits)

Marvelous find, Sergiosi! Even after the split you have a factor above 120 bits. Keep the factors coming.

[QUOTE=Sergiosi;416780]P-1 found a factor in stage #2...[/QUOTE]
B-e-a-utiful! Congrats!

P-1 found a factor in stage #2, B1=645000, B2=12255000.
UID: Jwb52z/Clay, M75143573 has a factor: 2223935088334736540260164531842793066322489490183317406066993 (P-1, B1=645000, B2=12255000)

It's a composite factor according to Prime95, but the results file doesn't save the 2 parts that this factor becomes, so I don't know how to post them to this message.

[COLOR=#000000] 2223935088334736540260164531842793066322489490183317406066993=10616701978609272999314569 (84 bits)[/COLOR]*[COLOR=#000000]209475135763965305121935565579560297 (118 bits)

k-values:

2^2*3^2*7*1289*38069*5712719
2^2*7*23*113*409*5039*18713*577807*859513
[/COLOR]