Riesel 602
 

Riesel 602 complete to n=25K. 5 k-values remain.
Base released.

Current reservations: r603 (grinding agonisingly slowly towards n=25K)
s928 (long-term effort, currently in 14-15K range)

S676 started pretty well for an even base with CK of 825.
2 [I]k[/I] are remaining at n=34K. Continuing to n=75K.

Reserving S867, R868, S1016

S813 and S819 are proven (attached).

Reserving R622, R916, S394, S995 [U]to n=25K[/U]
(same goes for the above S867, R868, S1016).

Riesel 581
 

Riesel 581 the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Riesel bases 588 and 867 are complete to 25k.
Results attached.
Unreserving.

I would like to reserve R678 to n=25K

R825 is proven

S903 is proven. (CK 338.)

Note: That makes a 5 bagger of proven bases 899-903 - Nice

I'll take S898 to 100K, then.
[SIZE=1](S904 doesn't look too promising to expand the bag.)[/SIZE]

Riesel 582
 

Riesel 582 the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

70*597^44147-1 is prime - Conjecture proven

Results emailed

R562 is proven.

Reserving the following 1ker's to n=100K

R611, R620, R628, R636, R650, R662

Sierp 635
 

28*635^34556+1 is prime - Conjecture Proven

Results emailed

S609 is proven.

R530 is complete to n=25K; no primes found for n=5K-25K; 4 k's remaining; base released.
R875 is complete to n=25K; no primes found for n=5K-25K; only k=38 & 50 remaining; base released.
S619 is proven; 1 prime found for n>5K; highest prime 46*619^5214+1
S622 is complete to n=25K; no primes found for n=5K-25K; only k=43 remaining; base released.
S669 is proven; 2 primes found for n>5K; highest prime 34*669^6089+1
S696 is complete to n=25K; 4 primes found for n=5K-25K; only k=135 remaining; base released.

[quote=Batalov;222508]S676 started pretty well for an even base with CK of 825.
2 [I]k[/I] are remaining at n=34K. Continuing to n=75K.[/quote]
S676 became a wanker at ~49K.
120*676^48949+1 is prime. Continuing with the last k=607.

Sierp 643
 

Sierp 643 the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

R1019, k=2 at n=150k, no prime, continuing

R678 is complete to n=25K

CK=195

12 k's remain k=6,19,25,41,49,50,55,57,118,127,139,161

Results will be emailed

Edit: Got it, thanks

Riesel 611
 

Riesel 611, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

S670 is proven.
Reserving R670 and S834 to 100K. (They are 1-kers, at or around 25K.)

[QUOTE]Reserving R670 and S834 to 100K. (They are 1-kers, at or around 25K.)[/QUOTE]

Serge, What are the k's for R670 and S834 so I can keep the tables correct?

Thanx.

Yes, here they are.
I will email the RES64 files for the last k's when they will reach the target.

Gary: One of these is mine and one is yours. I'll do them both seeing as you are out of town.

Riesel 620
 

Riesel 620, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

[quote=Batalov;223622]Yes, here they are.
I will email the RES64 files for the last k's when they will reach the target.

Gary: One of these is mine and one is yours. I'll do them both seeing as you are out of town.[/quote]

OK, I added R670 to the 1k remaining list and removed S670 from the untested thread. Both were good on the proven/1k/2k/3k list.

Although you posted that you had added R670 to the 1k thread, I didn't see it. You might check to see if you put it out of order or had a typo on it.

Reserving the following 1ker's to n=100k

S683 S702 S736 S743 S758

S798 is done to 25K. 1 [I]k[/I] remain. Will reserve it to 100K, though.

Reserving the following 1-k bases to n=100k

S914, S917, S919, S930

I will give 38*870^n+1 a try.

Riesel 636
 

Riesel 636, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving the following 1ker's to n=100K

R665 R668 R684 R692 R695

Reserving R552 R638 R710 R995 to 25k
We have almost finished the riesel conjectures with CK<100

R833 is complete to n=25K

CK=140

2 k's remain k=28,104

Attached are the results

Riesel 650
 

Riesel 650, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving the following 1-kers to n=100K:
S580 [SIZE=1](k=406, all thin k's fell off unexpectedly!)[/SIZE]
R580 [SIZE=1](k=48)[/SIZE]

[SIZE=1]P.S. It may be a good idea to check all bases that are proven to one side.[/SIZE]

Riesel 662
 

Riesel 662, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Riesel/Sierpinski base 1010
 

Taking both

Riesel/Sierpinski base 932
 

Taking both of them.

[quote=Batalov;224216]Reserving the following 1-kers to n=100K:
S580 [SIZE=1](k=406, all thin k's fell off unexpectedly!)[/SIZE]
R580 [SIZE=1](k=48)[/SIZE]

[SIZE=1]P.S. It may be a good idea to check all bases that are proven to one side.[/SIZE][/quote]

That's amazing about S580!

1. Without a testing limit, we can't update any threads anywhere. For all we know, they are only tested to n=5000; which doesn't allow adding them to the 1k thread or the proven/1k/2k/3k listing thread.

2. Without a primes file, all that we can show on the pages is "testing just started".

If you haven't yet reached n=25K, it's better just to reserve them and mention their 1k status when you reach that limit along with posting a primes file at that point.

I agree about checking all bases on the other side that have been proven on one side; that is if the CK is fairly similar. I've done a little of that myself but not extensively.

Ian,

You can go ahead and send me starter HTML pages for both sides of 580, 932, and 1010 even though 5 out of 6 of them are CK>200.


Gary

Haven't reached 25K with either of S/R580 (but close; see attached).

In fact, I have never imagined that S580 k=406 will go as far as it presently did. It is amazingly heavy and yet... still goin' and goin'.

I'll heed my own advice and will develop R610 (because of the proven S610),
as well as R850 and S850 to n=25K.

...and 406*580^22265+1 is prime.
S580 with CK 414 is proven.

[QUOTE]Ian,
You can go ahead and send me starter HTML pages for both sides of 580, 932, and 1010 even though 5 out of 6 of them are CK>200.[/QUOTE]

Just saw this. I'll work on them shortly.

Another one down.

LLR reported:

38*870^29675+1 is prime!

Reserving the following 1ker's to n=100K

S781, S784, S797, S803, S828

[quote=Batalov;224401]...and 406*580^22265+1 is prime.
S580 with CK 414 is proven.[/quote]

NICE!!

Along with S589 that also has CK=414, it is the largest conjecture proven on both sides for bases > 165!

Does anyone care to test some 1/2/3 k'ers for bases > 165 with CK>414 that are only at n=25K to try to beat the record?

Note: For "ranking" purposes, I would put S589 ahead of S580. S589 was proven at n=14952 vs. S580 at n=22265. Nevertheless, still an excellent proof!

[quote=ltd;224454]Another one down.

LLR reported:

38*870^29675+1 is prime![/quote]

Congrats on your first proof ltd! :smile:

Sierp 683
 

Sierp 683, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Sierp 702
 

Sierp 702, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving R790, S649, S778, and S853 to n=25K.

Sierp 743
 

Sierp 743, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

12*919^45358+1 is prime!

Proves S919.

Reserving following Sierpinski conjectures to n<=25K:

S835 CK=474 (10 k's remaining at n=1K)
S859 CK=474 (5 k's remaining at n=1K)

Regards

Kenneth

Sierp 736
 

Sierp 736, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

Reserving R967 to n=25K.

Sierp 758
 

Sierp 758, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

32*670^79644-1 (225081 digits, give or take) proves R670.

Sierpinski base 928 is complete to n=15K. Ten primes found. I believe this makes it 607 k-values remaining.

[CODE]5140*928^14126+1
26836*928^14180+1
27109*928^14325+1
412*928^14594+1
6378*928^14750+1
16071*928^14756+1
14581*928^14805+1
12477*928^14829+1
21727*928^14876+1
7957*928^14976+1
[/CODE]

Results emailed to Gary.

Continuing.

Progress of R603: at n= ~21,600. Continuing to 25K. Achingly slow.

R790 is complete to n=25K; only k=20 & 48 remain; largest prime 146*790^400-1; base released.
S649 is complete to n=25K; only k=64 remains; largest prime 66*649^10970+1; base released.
S778 is complete to n=25K; only k=163 remains; largest prime 18*778^19927+1; base released.
S853 is complete to n=25K; only k=42 & 106 remain; largest prime 34*853^267+1; base released.

Hope I haven't messed anyone up, but I just finished 12 bases with a ck > 500 that I didn't reserve. :blush:

R667 - 265 primes - 5 remaining - ck = 834
S567 - 457 primes - 2 remaining - ck = 924
S577 - 212 primes - 8 remaining - ck = 664
S617 - 189 primes - 10 remaining - ck = 514
S703 - 159 primes - 5 remaining - ck = 538
S712 - 331 primes - 15 remaining - ck = 528
S805 - 231 primes - 3 remaining - ck = 714
S814 - 416 primes - 14 remaining - ck = 651
S889 - 200 primes - 2 remaining - ck = 624
S964 - 485 primes - 22 remaining - ck = 771
S985 - 287 primes - 5 remaining - ck = 900
S1006 - 271 primes - 6 remaining - ck = 531

All pages will be sent to Gary.

[quote=gd_barnes;224663]NICE!!

Along with S589 that also has CK=414, it is the largest conjecture proven on both sides for bases > 165!

Does anyone care to test some 1/2/3 k'ers for bases > 165 with CK>414 that are only at n=25K to try to beat the record?
[/quote]
Thanks! Followed your advice. Now CK=534 is the one to beat.
__________

[COLOR=blue]P.S. I wonder if a simple plot of proven conjectures and a bit of splining will find an easy to remember function that would bring both b and CK together in an ad hoc measure of unusual luck. (Because there are some proven conjectures with low b and much higher CK. It would be nice for the function to be flat with occasional spikes.)[/COLOR]
[COLOR=blue][/COLOR]
[COLOR=blue]Off the top of my head f[sub]luck[/sub](b,CK) = b*CK , for example? [/COLOR]

[quote=Batalov;225969]Thanks! Followed your advice. Now CK=534 is the one to beat.[/quote]

VERY nice!

CK414 is still the one to beat for bases > 350. :smile:

Reserving the following bases to n=25K:

R573
R828
S533
S573
S588
S638
S766
S774
S790
S832
S833
S949
S987

Time for the Sierp side to do a little catch up.

[quote=Batalov;225969][COLOR=blue]Off the top of my head f[sub]luck[/sub](b,CK) = b*CK , for example? [/COLOR][/quote]
Now, after that spline, I like more
[COLOR=#0000ff]f[sub]luck[/sub](b,CK) = b*sqrt(CK) >= 9000 [/COLOR]

[COLOR=#0000ff][COLOR=black]Outliers are[/COLOR] [COLOR=darkred]S36 (f = 11316)[/COLOR][/COLOR][COLOR=black], S337, S580, S589, S903 (these four are almost equal) ...and S57 comes close.[/COLOR]

Riesel 665
 

Riesel 665, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

[quote=Batalov;225985]Now, after that spline, I like more
[COLOR=#0000ff]f[sub]luck[/sub](b,CK) = b*sqrt(CK) >= 9000 [/COLOR]

[COLOR=#0000ff][COLOR=black]Outliers are[/COLOR] [COLOR=darkred]S36 (f = 11316)[/COLOR][/COLOR][COLOR=black], S337, S580, S589, S903 (these four are almost equal) ...and S57 comes close.[/COLOR][/quote]

It took me a few mins. to understand what you were getting at here.

It's interesting that you call it luck, implying bases that have been the most "lucky" score the highest. I think that in most cases, it's not luck. It's that the bases are heavier weight, i.e. many of their k's have fewer small factors, than normal. Clearly there is an element of luck but the absence of small factors on most/all k's is the biggest contributor to proven bases scoring high.

Note that none of the bases are b==(2 mod 3). Bases that are (2 mod 3) have been notoriously difficult to prove. That brings up another question: What proven base that is b==(2 mod 3) scores the highest using your formula?

[quote=Batalov;225985]Now, after that spline, I like more
[COLOR=#0000ff]f[sub]luck[/sub](b,CK) = b*sqrt(CK) >= 9000 [/COLOR]

[COLOR=#0000ff][COLOR=black]Outliers are[/COLOR] [COLOR=darkred]S36 (f = 11316)[/COLOR][/COLOR][COLOR=black], S337, S580, S589, S903 (these four are almost equal) ...and S57 comes close.[/COLOR][/quote]

In looking this over, the formula appears to favor larger bases. For example, if we were able to prove Riesel base 6, it would score 6*sqrt(84687)=1746. That's pretty low for what would be a relatively difficult proof. The even more difficult Sierp base 6 would only score 6*sqrt(174308)=2505. It has 19 k's remaining at n=327K and is unlikely to be proven in most of our lifetimes without new mathematical methods being discovered.

I wonder if taking the log of the base would work better. OK, let's try log(b)*sqrt(CK) and see what we get:

S36 = 67.58
S57 = 60.52
S337 = 58.41
S589 = 56.36
S580 = 56.23
S903 = 54.34

S57 would be in 2nd place. This all seems reasonable.

Now...if these were to be proven:
R6 = 226.45
S6 = 324.88


That seems to more accurately reflect the difficulty in proving base 6 on both sides. Would you agree? If so, can you plot that function? That would be interesting to see.


Gary

This looks something like below (log is log[sub]10[/sub] but this is just a question of scale).

This concept is somewhere between difficulty and luck. This measure is a tongue-in-cheek, anyway. Luck is involved to a certain degree. For example, one may have tested a conjecture to 100K, but the prime is waiting at 100.5K and the conjecture remains a 1ker...

Riesel 668
 

Riesel 668, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Riesel 684
 

Riesel 684, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving S706. To 100K.

6*692^45446-1 is prime. Conjecture proven - Results emailed

Reserving the following 1ker's to n=100K:
R702 R724 R730 R743 R759
S836 S866 S879 S893 S934

R552 R638 R710 R995 are all complete to 25k unreserving
prpnet results: [URL]http://www.sendspace.com/file/q5erw1[/URL]
edit: just realized i didn't update pl_prime and pl_remain with the primes from prpnet this time

[quote=henryzz;226470]R552 R638 R710 R995 are all complete to 25k unreserving
prpnet results: [URL]http://www.sendspace.com/file/q5erw1[/URL]
edit: just realized i didn't update pl_prime and pl_remain with the primes from prpnet this time[/quote]

Please Email me the primes (separated from the results) and k's remaining on each base to:
gbarnes017 at gmail dot com

This is only results and I have to navigate through a bunch of popups and ads to get to it.

Thanks.

Extending the project slightly, which I plan to do no more:

Both with CK=104:

R1029 is complete to n=25K; only k=26 & 36 remain; highest prime 98*1029^859-1; base released.
S1029 is complete to n=25K; only k=34 remains; highest prime 54*1029^459+1; base released.

[quote=henryzz;226470]R552 R638 R710 R995 are all complete to 25k unreserving
prpnet results: [URL]http://www.sendspace.com/file/q5erw1[/URL]
edit: just realized i didn't update pl_prime and pl_remain with the primes from prpnet this time[/quote]
Got the results--I'll process them as soon as I get the chance.

[quote=gd_barnes;226476]Please Email me the primes (separated from the results) and k's remaining on each base to:
gbarnes017 at gmail dot com

This is only results and I have to navigate through a bunch of popups and ads to get to it.

Thanks.[/quote]
Sent.
I didn't realise that sendspace had popups. I thought that people elsewhere on the forum had verified it as clean and have only uploaded to it not downloaded from it. You don't have to wait on this one to download which is why others use that upload site.
I dislike the fuss of searching for the correct email address etc. I have just added you to contacts so that shouldn't be a problem in future. Shouldn't these be Ian's to process as they are all CKs<200?

[quote=henryzz;226491]Sent.
I didn't realise that sendspace had popups. I thought that people elsewhere on the forum had verified it as clean and have only uploaded to it not downloaded from it. You don't have to wait on this one to download which is why others use that upload site.[/quote]
The general consensus is that sendspace is "clean" in that it's not going to try to stick some kind of malware on your system; but it still does give you tons of annoying popups. I suppose that's what they have to do to pay for it, though: it's the only free file-uploading service out there that can do up to 300 MB. (Besides megaupload, that is--they can do 500 MB, but their ads are even more obnoxious.)

I usually use sendspace as a last resort--if something doesn't fit in email, for instance.

[quote=henryzz;226491]Shouldn't these be Ian's to process as they are all CKs<200?[/quote]

I've downloaded from Sendspace a few times. It's "clean" as far as I know. But like Max said, full of ads/popups and stuff. What I disliked this time around is that it had a link that said "download" on it and instead of downloading your files, it started to download someone's ad site before I stopped it. I then found the correct download link at the very bottom. Popups/ads are OK as long as the site is providing a good service to the public, which it is, and not sending malware or trying to load some task bar on my windows, which it appears not to. Misleading links that cause people to accidentally click on them get me irked in a hurry just like misleading sales in retail stores do.

Ian is actually doing CK<=500 now. You can send stuff to either of us. We'll work it out between us. But yeah, if you happen to see that it's CK<=500, it'll save us a little time if you send it to him.

Riesel 695
 

Riesel 695, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Sierp 797
 

Sierp 797, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

S573 is complete to n=25K; k=106, 132, & 202 remain; highest prime 122*573^4497+1; base released.

S833 is complete to n=25K; k=32 & 106 remain; highest prime 8*833^5735+1; base released.

I'll do S816 to 25K.

A funny thing happened to S816. Done to 25K.

The last (before 25000) sieved candidate returned prime. So it became a 1ker and I will extend the reservation to 100K.

[quote=Batalov;227085]A funny thing happened to S816. Done to 25K.

The last (before 25000) sieved candidate returned prime. So it became a 1ker and I will extend the reservation to 100K.[/quote]
The same thing [URL="http://www.mersenneforum.org/showpost.php?p=211950&postcount=606"]happened[/URL] to me on S39, which I did for 10K-25K a few months back: the very last candidate in the sieve file was prime. Of course in that case there were a [i]lot[/i] more k's in that search, so it didn't make a significant difference in the # of k's left at 25K; nonetheless, it was one of those "wow!" moments. Especially since I just happened to have been watching PFGW finish the range personally. :smile:

Sierp 781
 

Sierp 781, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

Sierp 803
 

Sierp 803, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

S835 and S859 is completed
 

S835 is complete to n=50K, with following files contained in the rar file for S835:

K's remaining at n=50K (2 k's --> 94, 276)
pfgw-prime.log (contains 8 primes with n>1000 and n<25000)
pl_prime.txt (contains 146 primes with n<=1K)
pl_remain.txt (contain 10 k's remaining at n=1K)
pl_trivial.txt (contains 80 trivial factored k's)
Residues.txt (contains residues for given PFGW.exe tested range)
results_n=25k.txt (contains Prime95 results for n<=25K)
results_n=50k.txt (contains Prime95 results for n>25K to n<=50K)

S859 is complete to n=25K, with following files contained in the rar file for S859:

K's remaining at n=25K (3 k's --> 136, 250, 414)
pfgw-prime.log (contains 2 primes with n>1000 and n<25000)
pl_prime.txt (contains 126 primes with n<=1K)
pl_remain.txt (contain 5 k's remaining at n=1K)
pl_trivial.txt (contains 105 trivial factored k's)
Residues.txt (contains residues for given PFGW.exe tested range)
results_n=25K.txt (contains Prime95 results for n<=25K)

Hope this covered all. Any question or problems, feel free to let me know :smile:

Regards

KEP

R1003 is complete to n=25K

CK=396

3 k's remain k=252,318,338

Attached are the results

Lucky, again. Sieved to 100K and...
28*898^98959+1 is prime. S898 is proven.

(...it also completes a stretch of 6 contiguous proven bases: S898-S903.)

I'll do S883 to 25K.

Sierp 784
 

Sierp 784, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

Sierp 828
 

Sierp 828, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released