Choose your own K and work on finding a top5000 prime!
Below is a list of K values that can be reserved. Each K has at least
90 primes in the range n=050k. I have checked the top5000 list (as of Jan 2006) and none of these K values have primes reported so they should be 'clean'. [CODE] K # primes Notes n=050k 165054615 102 (Reserved by Larry, tested to n=340k, 1 prime reported) 8331405 101 (Reserved by Larry, testing at n=900k) 1501946985 100 (Available) 22932195 99 (Reserved by Larry, 17 primes in n=210770k) 2028893625 98 (Reserved by CedricVonck) 687218805 98 (Reserved by CedricVonck) 1222853775 98 (Available, tested to 348822, 7 primes reported) 1346178405 98 (Reserved by Larry, 1 prime in n=200255k) 1194281385 98 1748348745 98 857996205 98 (Reserved by Larry) 62984955 97 (Reserved by Larry) 1310150985 97 686701125 97 (Tested to n=173307, 19 more primes in 50k173k) 1693514745 97 (Reserved by Larry) 8713308285 96 317372055 96 (Available, 4 primes reported in n=200410k) 19217385 96 (Reserved by nuggetprime) 146921775 96 445419975 96 (Reserved by Kosmaj, 7 primes reported in n=200302k) 228461805 96 (Reserved by kuratkull) 317372055 96 949473525 96 3289888875 95 1169473305 95 776668035 95 14549535 95 (Reserved by Larry, 3 primes in n=210290k) 1062034545 95 2037910875 95 (Reserved by Larry, 3 primes in n=200272k) 80555475 95 (Reserved by Larry, 3 primes in n=200285k) 24107655 95 (Available, tested 230262k with 0 primes) 174956925 95 175977945 95 74784765 95 (Available, tested 230259k with 0 primes) 9158021565 94 2241069285 94 3988569585 94 555567045 94 (Reserved by Edorah, tested to 429k, 10 primes reported) 39418665 94 (Reserved by NiceMedTxMd, 5 primes in n=200400k) 107337555 94 828512685 94 228986175 94 152751885 93 2904473715 93 (Reserved by Larry, 7 primes in n=200370k) 264766425 93 (Tested to 250k, 2 primes in n=200250k) 244133175 93 28397655 93 (Reserved by levitate) 51010245 93 281804985 93 28397655 93 99311355 93 (Reserved by Kar Bon) 96623835 93 1256369595 93 234686595 93 (Available, tested by CedricVonck to n=145k, 9 more primes from n=50k145k) 78290355 93 2481187995 92 8594430075 92 3870706125 92 2641908225 92 1311455145 92 100542585 92 272936235 92 249671565 92 3250995 92 (Tested to n=114832) 1386560175 92 (Reserved by Templus) 105330225 92 384158775 92 44702775 92 199140045 92 240924255 92 226005 91 (Available, tested to n=260k, sieved to 450bn, 1 prime) 8614926705 91 1533677145 91 4259877765 91 759237765 91 (Reserved by Larry, 4 primes in n=200275k) 178140105 91 226231005 91 360949875 91 (Available, tested to n=147627) 35900025 91 8670014925 90 272605245 90 418791945 90 682980375 90 27114615 90 20934375 90 8629569795 89 8858158725 89 719053335 89 11340615 89 19474455 89 4471935 88 (Reserved by NiceMedTxMd) 850612425 88 (Tested to 275965k, 2 primes reported) 5169615 82 (Available. Tested to 430k by amphoria, 8 primes in n=200430k) 7753875 70 up to n=10k (Reserved by NiceMedTxMd, 4 primes reported) 3545685 62 (Reserved by gd_barnes) 692835 60 (Reserved by Larry, 16 primes in n=200655k) 465 ?? (Reserved by VBCurtis) 290499495 ?? (Reserved by gd_barnes) 968911515 ?? (Reserved by gd_barnes) 775784295 ?? (Reserved by gd_barnes) 3428677395 ?? (Reserved by gd_barnes) [/CODE] There are many considerations to picking a K: LLR runs faster on smaller values of K, higher weight K's will have more candidates to test, and luck! You may want to check the most recent top5000 list and run the K in the range 50100K or more before embarking on a quest for a top5000 prime. To reserve a K, just leave a reply on this forum. 
Nice table Larry!
One question and two notes :smile: Q: What range of n is involved in computing the weight? N1: Since we are not 15k anymore we can try k's not divisible by 15. I remember before you mentioned several. In fact from time to time I still work on one of them, k=67773, but I found no reportable primes yet. :sad: N2: There was a program somewhere around to compute Nash/Robinson weights. Just to fill the table but they are not so helpful in finding prolific k's... 
The weight is computed from sieving n=010k. I've updated the original
post with this information. This list takes all 79,000 candidates I tested and sorted them by total number of primes. These all happen to be 15k. I also plan on posting lists for # primes/candidates and lowweight Ks. Those two lists should have many non15k Ks. 
I'll start out with 264766425

I'll give 226005 a shot! :smile:

How do I give this portion a shot?
I'm a little curious as to how this portion works... can someone help me out?
Dr. Mike.. 
Hey everyone!
I like your table Larry. I think someone needs to set up a getting started link for new members, so they will know what programs to use & how to use them. Later grobie  Tony 
Sure thing! In the new RPS team drive and other group activities,
we have done the K selection and sieving for you. All you have to do is run LLR. If you want to venture out into testing your own K, you can select one here, sieve it, then run LLR yourself. It all depends on how you want to work. The group searches are usually split up into chunks of 34 days of work. If you run your own K and find a productive one, you may stick with that one for months reporting primes along the way. Basically, less communication is needed and you have more 'control'. For details on how to sieve and run LLR, you can see the post in the 15k forum at [url]http://www.mersenneforum.org/showthread.php?t=640[/url] Note, the minimum n (nmin in the post) for a top5000 prime is around 203000 now so I'd start with a range of 203000250000. For the Ks listed here, I would expect, *on average*, about 2 primes to be in that range. The 'on average' meaning that the productivity of a certain K isn't really known. Measuring the number of primes in the range 010k is a reasonable first guess, but no guarantee. So the strategy may be to run a K in the n=200250k range and see how it goes. If no primes result, pick another K. If you get 23 primes, you will probably want to continue on in the 250k+ range. Of course, the larger the prime, the longer it'll stick around on the top5000 list. Larry 
I found the weight for k=698790798615 to be 1937.
When k>2^31 it has to be given to NewPGen as a product of factors less than 2^31. In the example above, k=1763*396364605. If such factorization does't exist then such k cannot be sieved using NewPgen. Also, when using NewPGen be sure to check the "Verify results" box. There were reports of wrong results if it's not checked. I also log the removed numbers (Options>Log the numbers removed). And finally, sieve agressively, to say so, 24 hrs sieving is not enough (except for some very low weight k's or very small ranges of n). In my experience you cannot oversieve if you go to 1T (1000 bn), not even to 2T. If you have both Athlons and P4's then sieve on Athlons, do LLR on P4's. 
update on k=226005
Sieving in the n=203000 to 300000 range, currently at 125 G and 13800 tests left.

Reserving 80555475

Sieved until 250G, tested until 207k and 12750 tests left until 300k. I'm planning to sieve it to at least 500G.

Found a prime for k=264766425 at n=228165. Only checked up to 230k
so far. 
question, with the above k's are we searching the whole k for all primes or are we just starting at reportable prime n value? Also do we need to send results to someone or just save them? I know my question is a matter of choice but I just want clarification what RPS recommends. Thanks

The minimum nvalue that the primedatabase accepts lies around n=203000.
So I made a sieve file for 230000<n<300000. First I will test this range, and maybe for the figures I will test the range 1<n<203000 in the future. My first objective is to find a prime for my k with an n>203000. I save my own results files 
[QUOTE=Kosmaj]I found the weight for k=698790798615 to be 1937.
When k>2^31 it has to be given to NewPGen as a product of factors less than 2^31. In the example above, k=1763*396364605. If such factorization does't exist then such k cannot be sieved using NewPgen. Also, when using NewPGen be sure to check the "Verify results" box. There were reports of wrong results if it's not checked. I also log the removed numbers (Options>Log the numbers removed). [/QUOTE] IMO: This is some important information, perhaps it should be put somewhere on this forum as a guide. Besides what do you mean by wrong results? Does newpgen fail to detect factor (not critical) or falsely reports factor (critical). 
[QUOTE=Templus]The minimum nvalue that the primedatabase accepts lies around n=203000.
So I made a sieve file for 230000<n<300000. First I will test this range, and maybe for the figures I will test the range 1<n<203000 in the future. My first objective is to find a prime for my k with an n>203000. I save my own results files[/QUOTE] You shouldnt have to test 1 thru 10k in the above k's. Or am I wrong? 
The range n=010k has already been tested for these ks. My usual
practice is to try is from the minimum reportable range up to 250 or 300k. If it's productive, I'll then go back and test the 10200k range. There is no real requirement here  just do it the way you find most interesting. 
Going to try 850612425 after my 1st drive tests are done.

Stopping with k 8288233
k=8288233
LLR'ed 2000 < n < 491923 prime 8288233*2^1486991 (but to small for top 5000 list) Has a low weight so many candidates are easly sieved out. If some one is intressted to continue sieving/llr'ing just make is a bit easier and grab the following two: [url]http://1202.org/download/k15_8288233.out[/url] [url]http://1202.org/download/lresults.txt[/url] 
Found a prime for k=264766425 at n=239217

Could someone explain to me in basic steps (i'm not as computer literate) how I would reserve a k, run it for a few weeks, and hopefully find a bunch of primes?
I know how to run the LLR program, but that's about it so far... Mike... :cry: 
Selecting your k is the easiest part, just get an available one from the first post in the thread. Then you will have to sieve the candidates using [URL=http://primes.utm.edu/programs/NewPGen/]NewPGen[/URL], it's a free software, get it from the link.
Suppose your k=165, create a new folder and name it "165", unzip NewPGen in that folder and start it, than in NewPGen: 1) Select "Create a new file" 2) Enter the name of the output file, for example "165.txt" 3) Go to "Type", select "k.b^n1 with k fixed" by scrolling it down 4) Set base=2, k=165 (your k), nmin=210000, nmax=400000. 5) Check "Verify results" 6) Select "Options", check "Log the numbers removed", and also check "Use two save files". 7) Click "Start" and let it run for 72 hours or until the sieving bound is 500 billion or more (displayed at the bottom of the NewPGen window). Then stop NewPGen and feed the file from Step (2) above to LLR. If you have a variety of machines then run NewPGen on Athlon (or Duron, Opteron, or Pentium3) and run LLR on Pentium4. The same applies to k*2^n1, k<300 where you asked the same question but I couldn't find time to reply. Over there the bounds in Step (4) will be different since many k's are already checked. 
Reserving 3250995
I will check from 10k => 300K. My upper sieve limit will be 500G. Regards, 
The sieving bound depends a lot on nmin and nmax (and in general case on [I]k[/I], but these are all highweight ones, so it doesn't matter). If you go from nmin=10k you can stop sieving early, say at 20G, divide the NewPGen file into two parts, say to n=50k and the rest and then start LLR on the 1050k range while keep on sieving 50300k.
Also note that currently the "water line" to enter Top5000 is at about n=207k, and if you go from n=10k by the time you reach 207k it will be already at 210k, that's why I suggested 210k above. 
[QUOTE=Kosmaj]The sieving bound depends a lot on nmin and nmax (and in general case on [I]k[/I], but these are all highweight ones, so it doesn't matter). If you go from nmin=10k you can stop sieving early, say at 20G, divide the NewPGen file into two parts, say to n=50k and the rest and then start LLR on the 1050k range while keep on sieving 50300k.
Also note that currently the "water line" to enter Top5000 is at about n=207k, and if you go from n=10k by the time you reach 207k it will be already at 210k, that's why I suggested 210k above.[/QUOTE] Thank you for claryfing things :bow: 
[QUOTE=BotXXX]k=8288233
LLR'ed 2000 < n < 491923 prime 8288233*2^1486991 (but to small for top 5000 list)[/QUOTE]Thanks, I just updated the [URL=http://www.15k.org/lowweight.htm]Stats Low Weight[/URL]. But I think you should have sieved more, I just tried and removed next 23 candidates at the rate of "1 n every 52 sec." 
Kosmaj, there's some kind of problem with the link in your post to the Low Weight Stats page. It won't load properly.

I've fixed the link  the .htm suffix was mixed up.

I sieved the file provided by BotXXX a bit more until 30bn. Anyone who wants this sieve file can mail or PM me.
k=10813783 has been tested until n=710000, 200 tests left until n=1M 
my reservation...
reserving 39418665 please...
wish me luck... :no: 
when i'm running newpgen, I get a low rate... (1 n every xx seconds..) what kind of a rate should I get?
Mike.. :shock: 
It should start high but then drop off pretty quickly. Once you've sieved
up to 100M, the rate will probably be 1 per every second or two. Past that, the rate will keep dropping. You can switch over to LLR when the rate is roughly equal to what it takes to run LLR on one candidate (or probably sieve past this since you'll start LLR at the lowest n and work upwards where LLR will be slower). 
right now i'm at 4.3 billion... the rate is 1 n every 2.4 seconds...
Mike.. is that good? :surrender 
That sound about right!

update..
right now on the k that I picked....
Sieved up to 126.6 billion, 1 n every 83.4 seconds... How far do I need to go? Mike... :mellow: 
That depends on how long it takes for LLR to run on a candidate.
You can try running LLR on the input file that you have for just one number. Keep sieving until sieving removes candidates slower than LLR would and then switch over to LLR. My guess would be keep sieving until one candidate is removed for every 100150 seconds. 
Best thing to do is LLR the last n in your sieve file & note the time it takes. Then you will know how long to sieve

If NewPGen is running (on idle priority) while you are speed testing with llr you will need to set the priority of llr to at least 3 so that it takes about 99% of CPU time thus giving you an accurate timing.
edit:typo 
Reserving 759237765

Reserving 7753875 please.. :)
going to try this on two machines for awhile.. with the holidays, work, etc.. Dr. Mike... :sick: 
Reserving 5169615 please.
Dave 
Reserving 1346178405 and 2037910875

Reserving 1222853775

Update: k=3250995 is tested from 10K to 96300.
26 primes found :showoff: Sieved until 125G Gonna take this K up to ??? Regards, Cedric :geek: 
Tested 3250995 to 114832 (from 10k)
If anyone is interested in tha results, pm me for my mail adress. Regards, C. 
update on k=226005
k=226005 has been sieved for 217000<n<300000 at 445bn with 11200 tests left. It has been tested from 203000<n<217000 and no primes found.
k=226005 has been sieved for 1<n<203000 at 100 bn with 20000 tests left. It has been tested from 1<n<63000 and 89 primes found! I am currently testing it for 217000<n<300000. 
Reserving 4471935 :rolleyes:

k= 234686595 CedricVonck [Reserved]
Gonna take this k from n = 10k to ? Please unreserve my previous K Grtz C. 
k=850612425
I am quitting K=850612425, tested from 10k to 275965k with only 100 primes 2 of which were reportable.

Will also take k=360949875
C. 
Taking also k=1386560175 and I release k=226005
Anyone who wants the sievefile (until 450bn) can PM me 
k=1785
A file with k=1785 values in the 361400k range sieved to 386bn was kindly provided by Flatlander. The file was checked by Battlemaxx (L148) and John (L140) but they found no primes although 1785 looked promising since Flatlander found 7 primes in the 200361k range.

I suffered a setback, I just bought a new box and 3 weeks later the hard drive crashed, its going to be replaced by dell, but for my k=1222853775, I lost all testing and sieve file from n=10k to 250k, I think my testing was at approx. 176K. My second box is still testing 250k to 300k.
Should I sieve & test from my last prime or start at 175k. All of the llrresults are gone also. 
Sorry to hear that :sad: Recently they are putting trash components in their readymade boxes :yucky: , that's the only way to have some profit while keeping low prices. Just say no to those $499 or similar offers. That's why it's much better to build your own machine if you can, you don't need a lot of technical knowledge, but you need time to explore the web and find what's currently [I]the best bang for buck[/I].:wink:
You can continue from [I]k[/I] you think was checked most recently, 176k in your case. We don't collect result files from "choose your own k", so no problems there. And finally congrats on your latest prime, from the same [I]k [/I]:smile: Bad news are often interlaced with good news.:cool: 
[QUOTE=grobie]I suffered a setback, I just bought a new box and 3 weeks later the hard drive crashed, its going to be replaced by dell, but for my k=1222853775, I lost all testing and sieve file from n=10k to 250k, I think my testing was at approx. 176K. My second box is still testing 250k to 300k.
Should I sieve & test from my last prime or start at 175k. All of the llrresults are gone also.[/QUOTE] Ok, hard drive installed, NewPGen is now sieving again from 175k to 250k 
Small update: still crunching on my 2 k's:shock:

I've run all the candidates for n=050k, added some more Ks, and
updated the table. My hope in expanding the range from 10k to 50k is that the candidates will be a little more predictable. 
Reserving k=317372055

Reserving 1501946985

Status of my search:
234686595 tested up to 135k=> 102 primes 360949875 tested up to 135k=> 100 primes 
reserving 555567045

555567045 is all yours  good luck!

Thanks!
Just two questions. Should I use LLR 362 or some other (once I'm done with sieving)? Is there a way I could find out how many digits candidate of the form k*2^n1 has? Edo 
The number of digits is log base 10 of the number which comes out
to roughly 0.3*n. To get onto the top5000 n must be at least 220k now. I'd stick with LLR 362 unless we find something reproducibly wrong with it. 
Thanks.

releasing k=1222853775 tested to n=348822

Still holding strong for the k's but my box is in tha shop...:cry:

555567045*2^2244191 is prime, but not large enough for Top5000. :down:
And just for the record. I started searching my K from 221k, not from 200k. Edo 
Releasing 234686595.
Mail me for the results and sieve file. C. 
Currently at 106 primes for k=2028893625

555567045*2^2262681 is prime.
Unfortunately, it's not large enough to make to the Top 5000 list. Edo 
Currently 108 primes for k= 2028893625 and tested to 132000+
k=360949875 tested to 147498 
Releasing k =360949875  results & sieve files are mailed
Reserving k =687218805 
Just started testing range 250k350k for my k=555567045.

Releasing K = 687218805 (did not yet started to sieve or testing ) &
k = 2028893625 tested to 141420 Results mailed 
39418665 Complete to 400,000
Has taken me FOREVER.. :(
but, found the following primes: 245029 263521 266507 307195 353582 Dr. Mike.. :showoff: 
k=5169615
I have now tested this k to n=430K and I release it. There were 8 primes found in the range n=200 to 430K.

Reserving 62984955

Reserving 24107655 and 74784765

Update on my k=555567045.
I test it to n=281k and I found 7 primes in 221k281k range. I'll continue testing it. 
k=317372055
I am releasing this k. I found 4 primes in the range of n=200410k.

Update on my k's...
k=555567045, test it from n=221k to n=350k, 10 primes in that range. k=24107655, test it from n=230k to n=242k, no primes in that range. k=74784765, test it from n=230k to n=255k, no primes in that range. I continue to work on that k's. Edo 
Apperantely something didnt trickled down.
[code] 2028893625 98 (Reserved by CedricVonck) 687218805 98 (Reserved by CedricVonck) [/code] Please unreserve these K's. See progress in "Post small primes" thread. Thx 
[B]Releasing:[/B]
k=24107655, test it from n=230k to n=262k, no primes in that range. k=74784765, test it from n=230k to n=259k, no primes in that range. 
[B]Releasing:[/B]
k=555567045, test it to n=429k 
A new update of the [URL="http://www.15k.org/stats.htm"]15k Stats page[/URL] kindly created by VBCurtis is now on the server. It is still a work in progress but it is much better than before.

k=12345 tested till n=500000, no further primes to report. I'm still working on this "k" :smile:

k=1515 tested till n=400000, I'm still working on it

475977645
i'm testing 475977645 from the 15k candidates but reported nothing yet.
so far i found 91 primes in the range for n from 1 to 100k: 3,6,7,21,23,28,34,37,46,54,59,67,75,81,96,99,101,107,112,114,123,138,153, 171,215,233,389,421,463,595,652,793,821,952,970,1167,1669,1899,1967, 2025,2217,2254,2260,3059,3118,3787,4828,5352,6049,6544,6675,6676, 6685,6915,7266,7868,8659,9040,9382,9584,9990,10146,10192,10757,11492, 11788,12181,12430,12838,13878,14478,14691,14754,15460,16729,17037, 18310,22465,23662,37615,41087,41827,43860,44640, 50879,77532,81718,82016,95036,98982,100285. The Primes for 37615 to 44640 are reported from Kimmo Herranen Dec 1998. Searching in two ranges for n: 1) 1 to 250k 2) 250k to 1M Actually the first range is up to 130k and the second up to 320k. 
Reserving 555567045

I'll try 165054615 again from n=250k

new
475977645*2^1374841 is prime

475977645*2^1455681 is prime!

Reserving k=465, from the main 15k stats page. Looks like the longest list of primes around for a smallish number.

There is a new update for the main 15k stats page, including all the reservations in this thread (shaded pink). I'll email it to Kosmaj this afternoon. If you get a chance, check the page for your reservations, as once I get the page caught up, I can keep up on it pretty easily.
I'll next post the smallprimes thread listings to the page, which I think will take a while! Curtis 
I am still working on k=736320585. My current status is n=500000. There are also some primes missing for this "k": 736320585*2^3394261, 736320585*2^3634971, 736320585*2^3719611, 736320585*2^4793811, 736320585*2^4828971 :smile:

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