The Aliquot workers reached a milestone over the weekend: half a million factorizations. When they started in early March 2010, the 'floor' of composites in open sequences was at 96 digits. Now it's at 109 digits -- and 110 for sequences under about 500K.

How many Aliquot terms that has added is hard to tell; terms which fall to whatever trial factoring the DB does aren't counted. But over the life of the workers, a total of a little over a million terms have been added in the ~9200 open sequences from all of us together. The workers have found about 19 terminations or merges.

In case anyone is curious, below are some stats on the number of factorizations for each digit size from 61 to 120 (the workers' ceiling). The number on the left of the / is how many have been factored; on the right is how many remain.

[CODE]Factored / to factor:
61: 2189 / 0 71: 3679 / 0 81: 7473 / 0 91: 14445 / 1 101: 19551 / 1 111: 1153 / 1661
62: 2214 / 0 72: 5303 / 0 82: 8158 / 0 92: 15193 / 0 102: 16944 / 0 112: 933 / 1358
63: 2342 / 0 73: 5092 / 0 83: 9039 / 0 93: 16050 / 0 103: 14167 / 1 113: 725 / 794
64: 2423 / 0 74: 6805 / 0 84: 9376 / 0 94: 16591 / 0 104: 12292 / 1 114: 471 / 502
65: 2588 / 0 75: 5193 / 0 85: 10052 / 0 95: 17111 / 0 105: 10911 / 2 115: 386 / 308
66: 2746 / 0 76: 5140 / 0 86: 10811 / 0 96: 17981 / 0 106: 9698 / 7 116: 226 / 193
67: 2882 / 0 77: 6335 / 0 87: 11523 / 0 97: 19602 / 0 107: 7719 / 5 117: 171 / 122
68: 3082 / 0 78: 6092 / 0 88: 12125 / 0 98: 19568 / 0 108: 6065 / 6 118: 145 / 88
69: 3286 / 0 79: 6483 / 0 89: 13177 / 0 99: 19977 / 0 109: 3292 / 1344 119: 1091 / 56
70: 3573 / 0 80: 6948 / 0 90: 13740 / 0 100: 19845 / 1 110: 1373 / 2283 120: 227 / 49
[/CODE]

Nice p51 factor from 11040:i9270 was found by YAFU.

[QUOTE]prp51 = 938764062701122795960213320690812944421623160496389 (curve 18 stg2 B1=10000000 sigma=1162538005 thread=3)[/QUOTE]

[URL="http://www.factordb.com/sequences.php?se=1&aq=794184&action=last20&fr=0&to=100"]794184[/URL]!

I've been ready to give it up several times, and every time I'm ready to release it, it drops the 3. But, every drop is only long enough to get me to go a couple digits more. Check out this last one, where I decided to go to 125 digits with >110 ECMed cofactor:
[code]
[COLOR=black]Checked 1724 126 (show) [/COLOR][COLOR=black]2612781567...00<126> = [/COLOR][COLOR=black]2^2 · [/COLOR][COLOR=black][COLOR=Red]3[/COLOR] · [/COLOR][COLOR=black]5^2 · [/COLOR][COLOR=black]181 · [/COLOR][COLOR=black]4811752425...39<121>
Unchecked 1725 126 (show) [/COLOR][COLOR=black]4988632445...40<126> = [/COLOR][COLOR=black]2^2 · [/COLOR][COLOR=black]5 · [/COLOR][COLOR=black]19 · [/COLOR][COLOR=black]71 · [/COLOR][COLOR=black]1621 · [/COLOR][COLOR=black]6373 · [/COLOR][COLOR=black]1789833482...51<115>[/COLOR][/code]

thanks for that last sequence schickel it's dropped to a C110.

[QUOTE=science_man_88;290291]thanks for that last sequence schickel [B]it has [/B] dropped to a C110 [B]so far[/B].[/QUOTE]

edits: in bold.

[QUOTE=science_man_88;290312]edits: in bold.[/QUOTE]

well that didn't last long ( time wise) I'm now about 200 lines from where I started and it has now climbed to about C120 caught with 2^2*3.

Conversely, [URL="http://www.factordb.com/sequences.php?se=1&aq=794184&action=last20&fr=0&to=100"]794184[/URL] has dropped the 5(s)... and is decreasing, ever so slowly, again...

OK, so it's only been a couple lines of 2^3 * 29...

The elves have finished all the c109s on open unreserved sequences under 1M.

(With the exception of a number of sequences which are currently broken in the DB, of course.)

finally it got the down driver took almost 300 lines but I got it. I don't know if I had it any time in between.

170766 almost made it dropping to 13 digits. It then went back up as it picked up 2^4*31. I have gotten it nearly to 120 digits now.

I don't think it would merge with 13 digits, but I haven't checked yet.

Its index is over 5000 now.

[URL]http://factorization.ath.cx/aliquot.php?type=1&aq=170766&big=1[/URL]

[QUOTE=science_man_88;291410]finally it got the down driver took almost 300 lines but I got it. I don't know if I had it any time in between.[/QUOTE]

I'm now above that 300 lines since starting and I still have that downdriver it looks like I'm currently dealing with a C114.