20090912, 13:00  #1 
May 2005
2×809 Posts 
46k sieve, max. n = 5M
The following k have been chosen for this sieve:
Code:
51 from n=1.7M 57 from n=1.7M 61 from n=1.7M 65 from n=1.7M 73 from n=2M 75 from n=1.5M 79 from n=1.12M 83 from n=1.12M 87 from n=1.7M 89 from n=1.12M 91 from n=1.12M 111 from n=1M 115 from n=1M 117 from n=1M 119 from n=1M 125 from n=1M 129 from n=1M 135 from n=1M 149 from n=1M 155 from n=1M 157 from n=1M 165 from n=1M 175 from n=1M 179 from n=1M 185 from n=1M 191 from n=1M 201 from n=1.2M  reserved by VBCurtis 207 from n=1.2M  reserved by VBCurtis 209 from n=1M 213 from n=1M 215 from n=1M 229 from n=1M 231 from n=1M 237 from n=1M 241 from n=1M 249 from n=1M 261 from n=1M 265 from n=1M 267 from n=1M 271 from n=1M 273 from n=1M 279 from n=1M 285 from n=1M 291 from n=1M 293 from n=1M 443 from n=1044006  reserved by VBCurtis Anyone interested in helping out is welcome. Minimum reservation range is p=1T, which takes ~4 weeks to complete on a single 1.8GHz C2D core under 64bit linux. We are looking forward to ideas concerning this sieve and future reservations of sieved k / ranges. 
20090912, 18:19  #2 
Sep 2004
B0E_{16} Posts 
Cruelty,
You can also add the k's (123, 153, 159, 171, 183, 189, 219, and 225) from the 9Ks drive. Carlos 
20090915, 16:18  #3 
Feb 2003
11101110011_{2} Posts 
Cruelty,
is there a reason for NOT taking k=113 from n=1.5M? I released this k quite a while ago, and (as far as I know) nobody else has taken it yet. And there is also k=29 at n=2M... Last fiddled with by Thomas11 on 20090915 at 16:20 
20090915, 18:10  #4 
May 2005
2·809 Posts 
There is no particular reason why any "k" is in this sieve or not, however at some point of time decision was needed to go forward rather than think which other "k" can be also included. The speed of this sieve is also a discouraging factor when it comes to making it even bigger...

20100309, 21:23  #5 
Sep 2004
2×5×283 Posts 
I have a question. Will the next drive with these numbers be available within 56 months? I just need a yes or no answer.
Carlos 
20100310, 00:40  #6 
"Curtis"
Feb 2005
Riverside, CA
2^{2}·3^{2}·5^{3} Posts 
Carlos
That depends entirely on how many people help with the sieve. If you wish to add a core to our sieve effort, I imagine we'd be far enough to begin 1.0M1.1M work sometime this summer. We won't be at the optimal sieve depth, but the optimal depth is truly massive for a sieve this large. If you want to participate in testing these, it would be fair to help with the sieve. A 1T range for this sieve takes about 3 weeks on a Core22.0. I think Kosmaj/Cruelty are in the 2025T range right now with the sieve; I've only done 4T of the sieving to help out, because I plan to reserve a couple of these k's when they're ready. I'm trying to do 1015% of the sieving, because I plan to test 5 to 7 of the k's including the couple already reserved to me (201,443, I think one other). 50T is not deep enough to get testing started, so at the current rate we will not be ready to go in 6 months. Curtis 
20100310, 01:08  #7 
"Curtis"
Feb 2005
Riverside, CA
2^{2}·3^{2}·5^{3} Posts 
Sieve speed and efficiency
To give an idea of how large a project this is
There are roughly 3.7M candidates in the sieve. At 20T, my stock Core21866 (64 bit ubuntu) takes about 150s to find a factor. An LLR test of 1.0M on this machine takes ~1500 sec. If every k started at 1.0M in the sieve, this would imply a 200T depth before LLR is equal to factoring. Luckily, the 1.01.1M range is only half the k's, meaning half the sieve depth in principle. This means 100T should be our target to begin LLR at 1.0M, and 150T or more for 1.1 to 1.2M. This is not the optimal sieve depth, where optimal means the depth that produces the shortest total project length to test all candidates. Optimal depth is so large it's depressing 160T to get started, 320T at 1.1M, 450T or so at 1.2M. By 1.5M, we "should" be at 650T!! This is what Cruelty referred to when he said we had to stop including k's somewhere. Where is the blistering sheep when we need him?? Sheep, I hope you are healthy and working somewhere you disappeared after discussing some life and wellness challenges with me. Curtis Last fiddled with by VBCurtis on 20100310 at 01:18 
20100310, 12:44  #8 
May 2005
652_{16} Posts 

20100310, 13:52  #9 
Sep 2004
2·5·283 Posts 
I will help sieving with my 8 cores 64bit when we complete the 6th drive.

20100310, 21:16  #10 
"Curtis"
Feb 2005
Riverside, CA
2^{2}×3^{2}×5^{3} Posts 
Carlos
Thanks for your offer to help. But we don't want to finish the 6th drive before we sieve the big file that would leave us with no megabit tests to offer people (well, lower1M range, ignoring k=15/17). That's why we dedicate 1 or 2 cores each to the sieve; the hope is it would be ready before we run out of the other drives. We have tried to create and manage the drives so there is a selection of exponent ranges to test at any time. Ideally, we can release 1.01.1M from this sieve before the 6th drive reaches 1.4M. Think of the drives as ways to get people like unconnected to stop by and help out we want them to have as much choice as possible. Perhaps once the 6th drive is near 1.3M, we can convince you to mix in sieving with finishing the drive. Curtis 
20100310, 21:19  #11  
"Curtis"
Feb 2005
Riverside, CA
10624_{8} Posts 
Quote:
That's a lot of megabit tests! For homework, estimate how many years (centuries?) it would take you (any of you) to finish LLRing the file working alone. Curtis 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
SIEVE GAP  pepi37  Other Mathematical Topics  2  20160319 06:55 
Advantage of lattice sieve over line sieve  binu  Factoring  3  20130413 16:32 
Sieve Vs PRP  Chino112  Prime Sierpinski Project  6  20070328 19:15 
Help with PSP Sieve  cswchan  Prime Sierpinski Project  7  20070203 19:24 
Which sieve to use for n^n1?  Siemelink  Factoring  11  20061108 18:08 