[quote=rogue;187476]
Completed to 35000 and continuing. They seem to be getting quite a bit more sparse.[/quote]

k=84998 has 2 primes shown so 19 unique k's with primes leaves 340 k's remaining at n=35K.

Reserving Sierp. base 57 for n=25K-100K.

Sierp. base 37 is complete to n=100K. Results are attached for the n=25K-100K range, for which I found one prime, on k=1866, which if memory serves was the heaviest-weight of the bunch. Releasing this base.

Reserving Sierp. base 68 up to n=100K.

Riesel Base 53
 

Riesel Base 53 n=10K-25K complete - Unreserving

26 primes found

Results emailed

2098*53^10417-1
5212*53^10591-1
128*53^11090-1
944*53^11456-1
1376*53^11626-1
1576*53^11635-1
3622*53^11919-1
712*53^12055-1
5198*53^12600-1
1068*53^13129-1
224*53^13940-1
1922*53^14340-1
3686*53^15462-1
3806*53^15666-1
2854*53^15727-1
3416*53^16578-1
884*53^18236-1
438*53^19357-1
3194*53^20456-1
598*53^20669-1
3266*53^22102-1
764*53^22712-1
4976*53^23086-1
4790*53^23124-1
4184*53^23724-1
650*53^24288-1

Sierpinski base 57 proven!
 

378*57^67340+1 is prime!

This is the final k for this base. :big grin:
:party: :banana: :party: :banana: :party:

Okay, I know this may seem a bit overexuberant for just base 57, but it is my very first proven conjecture. :grin:

Results are attached for this base from n=25K up to the prime.

Nice one Max!

I'll bring some more balloons :party:

[quote=mdettweiler;188716]378*57^67340+1 is prime!

This is the final k for this base. :big grin:
:party: :banana: :party: :banana: :party:

Okay, I know this may seem a bit overexuberant for just base 57, but it is my very first proven conjecture. :grin:

Results are attached for this base from n=25K up to the prime.[/quote]

EXCELLENT!! You've come so close on several of them, you were owed one.

More good news: At k=1188, this is the 3rd highest Riesel or Sierp conjecture ever proven in terms of k-value. Sierp base 36 at k=1886 and Sierp base 11 at k=1490 are higher. Interestingly the Riesel side has more bases proven but none for k>1000. The highest is Riesel base 11 at k=862.

One that is very close to proof and that would stomp all records is Sierp base 10. It has just one k remaining for a conjecture of k=9175! Cruelty is currently searching it at n=270K. Bring on that final prime Cruelty! :smile:

With the exception of Sierp base 36, all conjectures of k>1000 are or have been quite challenging to prove.


Gary

Nice job Max:beer:

Now we don't have to :deadhorse:

[quote=gd_barnes;188719]EXCELLENT!! You've come so close on several of them, you were owed one.

More good news: At k=1188, this is the 3rd highest Riesel or Sierp conjecture ever proven in terms of k-value. Sierp base 36 at k=1886 and Sierp base 11 at k=1490 are higher. Interestingly the Riesel side has more bases proven but none for k>1000. The highest is Riesel base 11 at k=862.

One that is very close to proof and that would stomp all records is Sierp base 10. It has just one k remaining for a conjecture of k=9175! Cruelty is currently searching it at n=270K. Bring on that final prime Cruelty! :smile:

With the exception of Sierp base 36, all conjectures of k>1000 are or have been quite challenging to prove.


Gary[/quote]
Hmm, interesting. I didn't know that. In fact, that somewhat influences my plans for the next base I'm going to do on the now-freed-up core: Sierp. base 73. I was originally going to do base 72 (also 2 k's remaining at n=25K), but now I see that 73 has got a significantly higher conjecture, at k=1444. If I can manage to prove that one too, then it will top base 57's new record! :smile:

Reserving Sierp. base 73 for n=25K-100K.

[QUOTE=mdettweiler;188716]378*57^67340+1 is prime!

Okay, I know this may seem a bit overexuberant for just base 57, but it is my very first proven conjecture. :grin:
[/QUOTE]

You are one of the few who has proven a conjecture that is not trivial. Well done! I think it was Rogue who proved a conjecture with n = 100,000+.

Cheers, Willem.

[quote=gd_barnes;188719]EXCELLENT!! You've come so close on several of them, you were owed one.

More good news: At k=1188, this is the 3rd highest Riesel or Sierp conjecture ever proven in terms of k-value. Sierp base 36 at k=1886 and Sierp base 11 at k=1490 are higher. Interestingly the Riesel side has more bases proven but none for k>1000. The highest is Riesel base 11 at k=862.

One that is very close to proof and that would stomp all records is Sierp base 10. It has just one k remaining for a conjecture of k=9175! Cruelty is currently searching it at n=270K. Bring on that final prime Cruelty! :smile:

With the exception of Sierp base 36, all conjectures of k>1000 are or have been quite challenging to prove.


Gary[/quote]
Would it be possible one day to have a records page/thread for things like this?

[quote=henryzz;188780]Would it be possible one day to have a records page/thread for things like this?[/quote]
Yes, I was thinking the same thing myself.

Riesel Base 39
 

Riesel Base 39

Tested from n=3K-5K. 1775 primes found (see attached file)

7123 k's remaining + the 1 I am not testing = 7124 left

Continuing on

Riesel base 48 is complete to n=25K; 43 k's remaining; now unreserved.

Riesel base 42 is at n=23K; 56 k's remaining; continuing to n=25K.

Sierp. base 68 is complete to n=100K, no primes. Results for 25K-100K are attached; unreserving.

Reserving Sierp. base 86 from n=25K-100K.

Riesel base 42 is complete to n=25K; 53 k's remaining; now unreserved.

That takes care of all of the "easier" bases <= 100 on both sides up to n=25K. All remaining bases should have well in excess of 60 k's remaining at n=25K.

Sierp. base 86 is complete to n=100K, no primes. Results are attached for n=25K-100K; releasing.

Sierp. base 73 is complete to n=100K, no primes. Results attached for 25K-100K; releasing.

Reserving Sierp. base 33 for sieving n=100K-300K.

[quote=mdettweiler;190945]Reserving Sierp. base 33 for sieving n=100K-300K.[/quote]
Completed. I'll now reserve this for PRPing.

Also reserving Sierp. bae 87 for n=25K-100K.

Riesel Base 80
 

Riesel Base 80 n=25K-100K complete

Nothing found

Results emailed

Whew...and for 4 k's too. Sheesh, the high bases are tough.

You might try Riesel base 70...same # of k's and same n-range.

[QUOTE]Whew...and for 4 k's too. Sheesh, the high bases are tough.

You might try Riesel base 70...same # of k's and same n-range. [/QUOTE]

I was kinda bummed too. I just did that base to get rid of a couple of k's.

Sierp. base 87 is complete to n=100, no primes. Results for 25K-100K are attached; releasing.

Reserving Sierp. base 99 for 25K-100K.

Riesel Base 39
 

Riesel Base 39

Tested from n=5K-7K. 942 primes found (see attached file)

6191k's remaining + the 1 I am not testing = 6192 left

Continuing on

Well, this isn't quite as impressive as Chris's recent Riesel base 6 prime, but it is definitely noteworthy nonetheless since it proves Sierpinski base 99:

284*99^48911+1 is prime! :grin:

Results are attached for n=25K-48911.

[quote=mdettweiler;191749]Well, this isn't quite as impressive as Chris's recent Riesel base 6 prime, but it is definitely noteworthy nonetheless since it proves Sierpinski base 99:

284*99^48911+1 is prime! :grin:

Results are attached for n=25K-48911.[/quote]

Congrats Max on yet another proof! :smile:

[QUOTE=mdettweiler;191749]Well, this isn't quite as impressive as Chris's recent Riesel base 6 prime, but it is definitely noteworthy nonetheless since it proves Sierpinski base 99:

284*99^48911+1 is prime! :grin:

Results are attached for n=25K-48911.[/QUOTE]
:tu: :tu:
Another one bites the dust,
another one bites the dust,
and another one's gone,
and another one's gone ...
:groupwave:

A great day in CRUSland.

Nice work by both Chris and Max. More grey, less green on the conjecture pages is always a welcome sight.

:tu::showoff::bounce wave:

Riesel Base 52
 

Riesel Base 52 reserving from n=10K-25K

All k's (213)

[quote=MyDogBuster;191650]Riesel Base 39

Tested from n=5K-7K. 942 primes found (see attached file)

6191k's remaining + the 1 I am not testing = 6192 left

Continuing on[/quote]

Hum. There were 7124 k's remaining at n=5K. Subtracting 942 primes leaves 6182 k's remaining. Is that what you show? The primes file looks correct and there are no duplicate k's.


[quote=MyDogBuster;191855]Riesel Base 52 reserving from n=10K-25K

All k's (213)[/quote]

There are 218 k's remaining. I'm assuming you're reserving all of them.


Gary

[QUOTE]Hum. There were 7124 k's remaining at n=5K. Subtracting 942 primes leaves 6182 k's remaining. Is that what you show? The primes file looks correct and there are no duplicate k's.[/QUOTE]

6182 is correct - Typing error #1

[QUOTE]There are 218 k's remaining. I'm assuming you're reserving all of them.[/QUOTE]

218 is also correct - typing error #2

2 messages, 2 typing errors ---- I'm good:redface::redface:

Sierp Base 49
 

Reserving Sierp Base 49 (all 7 k's) from n=25K-40K

Riesel Base 52
 

Riesel Base 52 complete n=10K-25K

52 primes found and proven (see list) Results Emailed - Base released

[code]29631*52^10210-1
66653*52^10274-1
70226*52^10747-1
75254*52^10756-1
59753*52^11291-1
22643*52^11316-1
17882*52^11910-1
14453*52^11996-1
82601*52^12711-1
45737*52^13028-1
45303*52^13148-1
83951*52^13186-1
24911*52^13215-1
54147*52^13640-1
31748*52^13695-1
65388*52^14187-1
21464*52^14280-1
5142*52^14317-1
69744*52^14565-1
74936*52^15682-1
62589*52^15771-1
21866*52^15825-1
3128*52^15895-1
6981*52^15987-1
2769*52^16152-1
16884*52^16332-1
13551*52^17173-1
58884*52^17303-1
1881*52^17730-1
84216*52^17750-1
42507*52^17953-1
59763*52^18135-1
66959*52^18455-1
34748*52^18619-1
36783*52^18851-1
62177*52^19016-1
4043*52^19475-1
74169*52^20373-1
57930*52^20945-1
3764*52^21141-1
37737*52^21497-1
71798*52^21527-1
19079*52^21684-1
65391*52^22047-1
79773*52^22499-1
55598*52^22719-1
34343*52^23632-1
80540*52^23925-1
76827*52^24101-1
39518*52^24214-1
35331*52^24462-1
17438*52^24727-1[/code]

Karsten,

Can you provide a status update on Riesel base 35? Your last status was in Feb. You reserved it to n=100K. :surprised Perhaps that was a bit optimistic since 1200+ k's remain at n=9230. :smile:

Probably the most preferrable thing to do at this point is to search in on up to n=10K and then release your sieve file for n=10K-100K assuming that you still have it but lost interest in the base.


Thanks,
Gary

[quote=MyDogBuster;192469]Riesel Base 52 complete n=10K-25K

52 primes found and proven (see list) Results Emailed - Base released
[/quote]

Are you having fun yet? lol

I think Ian found his calling: Slaying huge #'s of k's on huge #'s of bases. :smile:

All your base are belong to Ian.

reserving Sierp Base 53 (all k's) from n=25K-40K and Riesel Base 60 (all k's) from n=25K-40K

Sierp Base 48
 

Sierp Base 48 complete n=25K-40K

1 prime found and proven - Results emailed - Base released

359*48^35671+1

Reserving Riesel base 39, k=474 for n=100K-150K.

Sierp. base 33 is complete to n=300K, no primes. Results are attached for 100K-300K; releasing.

[quote=mdettweiler;192698]Sierp. base 33 is complete to n=300K, no primes. Results are attached for 100K-300K; releasing.[/quote]

I was about to say "Wow, that was a lot of work fast!". Then I looked in the file and see that there was only just over 2,000 tests or ~1% of the entire n-range. Holy cow, that is a LOW weight k! Typical low weight k's here that are one of the final few k's remaining on a base usually have about 2-3% of the entire n-range remaining after sieving to the optimum depth.

Just curious: How long did that take you? I'm assuming you used a full quad running a PRPnet server.

With only ~1,000 tests for every n=100K range and the chance of prime falling well below 1 in 15,000 at n=300K, we may be searching this one to n=5M-10M to find the final prime as the odds of prime keep getting smaller.

[quote=MyDogBuster;192078]Reserving Sierp Base 49 (all 7 k's) from n=25K-40K[/quote]


Ian,

I'm confused. You reserved base 49 and not base 48 (that I could find). But you searched base 48. Are you still going to search base 49? You stated the correct # of k's for base 49, which leads me to think you're still going to do it.

One more thing: I closely checked the results file and it does appear that you searched all k's for base 48. I was somewhat surprised that there was only one prime. Let me know if anything seems out of sorts here.


Gary

[quote]I'm confused. You reserved base 49 and not base 48 (that I could find). But you searched base 48. Are you still going to search base 49? You stated the correct # of k's for base 49, which leads me to think you're still going to do it.

One more thing: I closely checked the results file and it does appear that you searched all k's for base 48. I was somewhat surprised that there was only one prime. Let me know if anything seems out of sorts here.
[/quote]I will do Base 49 soon. I have it sieved, just nothing to run it on yet.

I did re-check my results for Base 48 and found nothing out of the ordinary.

I did have a PRPNET barf on it about halfway, but when I checked it out, the candidates file looked just fine. Nothing missing. 5975 original tests, 5713 complete. I'm assuming the rest was k359 being zapped by PRPNET. I'd chalk it up to one our infamous galactic holes. Someone doing n=40K-70K may find and bunch of the remaining.

[quote=gd_barnes;192771]I was about to say "Wow, that was a lot of work fast!". Then I looked in the file and see that there was only just over 2,000 tests or ~1% of the entire n-range. Holy cow, that is a LOW weight k! Typical low weight k's here that are one of the final few k's remaining on a base usually have about 2-3% of the entire n-range remaining after sieving to the optimum depth.

Just curious: How long did that take you? I'm assuming you used a full quad running a PRPnet server.

With only ~1,000 tests for every n=100K range and the chance of prime falling well below 1 in 15,000 at n=300K, we may be searching this one to n=5M-10M to find the final prime as the odds of prime keep getting smaller.[/quote]
According to the timestamps on the first and last results as returned to my PRPnet servers, it took me close to exactly 14 days to do the range. That was, as you said, with a full quad (Q6600 overclocked to 2.8Ghz).

I actually hadn't realized this was quite so low-weight. The time it took to run didn't seem too particularly strange to me at first. But now that you mention it, you're right, when I compare it to the approximate figures I remember for other bases I've done, it does seem rather surprisingly low-weight. (And that's considering that the bases I'm comparing it to are also going to be on the lower-weight side since they were also the last k or last two k's of a conjecture. :smile:)

Hmm, if I'd realized it was quite this light, I would have probably sieved much higher in terms of n-range; probably to 500K rather than 300K. :smile:

[quote=MyDogBuster;192785]I will do Base 49 soon. I have it sieved, just nothing to run it on yet.

I did re-check my results for Base 48 and found nothing out of the ordinary.

I did have a PRPNET barf on it about halfway, but when I checked it out, the candidates file looked just fine. Nothing missing. 5975 original tests, 5713 complete. I'm assuming the rest was k359 being zapped by PRPNET. I'd chalk it up to one our infamous galactic holes. Someone doing n=40K-70K may find and bunch of the remaining.[/quote]
Ian, if you don't already have something comparable, I can send you my script that I use for checking to see whether a given results file contains all the same results as a sieve file. That can be somewhat more reliable than checking the # of tests; on a couple of occasions I've actually encountered situations where the same number of tests that were missing were exactly compensated for by duplicates elsewhere in the file, so it's definitely important to check. :smile:

[quote]Ian, if you don't already have something comparable, I can send you my script that I use for checking to see whether a given results file contains all the same results as a sieve file. That can be somewhat more reliable than checking the # of tests; on a couple of occasions I've actually encountered situations where the same number of tests that were missing were exactly compensated for by duplicates elsewhere in the file, so it's definitely important to check.[/quote]Thanks Max, but I'm in the process of writing one as we speak.

That barf on Base 48 was with the old version of PRPNET. 2.4.0 seems to have fixed that problem.

I got a PM from Karsten on Riesel base 35. He has now searched it to n=10094 and reported the following primes for n=9230-10094:

[code]
196828 9235
115886 9292
129350 9316
155900 9318
86234 9340
257762 9340
208204 9345
239732 9372
31222 9423
248602 9425
159902 9442
131444 9452
243584 9456
255758 9474
83966 9476
117854 9520
98300 9570
203470 9579
1426 9607
92546 9614
59006 9648
97932 9654
257570 9664
228672 9666
29570 9668
109252 9683
198788 9684
167348 9692
262756 9701
181868 9708
225928 9727
83578 9731
282548 9782
40154 9784
176302 9787
205570 9803
201556 9821
240912 9849
162974 9856
114986 9908
10504 9951
67876 9965
93634 9967
143206 9981
279458 9986
81748 10001
105964 10049
181190 10078
227594 10082
193332 10089
[/code]

Karsten, I removed 69002*35^9222-1 from your PM list. You had already reported it and it was already shown on the pages.

A total of 50 primes. This makes 1155 k's remaining at n=10094. Thanks for the update Karsten.

With this update, we have now accomplished an amazing feat: All Riesel bases < 39 with the exception of huge bases 3/7/15 have been searched to n>=10K! :smile: To take it a step further, Ian has already taken on the dubious task of taking Riesel base 39 up to n=10K. Conjectured at k=1352534, he has it at n=7K with no less than 6182 k's remaining! Base 40 is the next true monster conjectured at k=3386517. Past that, we have all bases 41 to 50 at n=25K. Base 51 conjectured at k=8632534 is the next one that looks extremely tough at this point.

The only thing stopping us from the same on the Sierp side now is base 35. Although a very large conjecture of k=214018, it is smaller than the Riesel base 35 conjecture of k=287860. Bases 39 and 40 are also conjectured as much smaller than their Riesel counterparts. The Sierp side is much more doable to base 50/n=10K then the Riesel side since bases 35, 39, & 40 all have much smaller conjectures.

I'm not advocating starting these extremely tough bases any time soon. The direction of the project is excellent right now with many different varied efforts being completed by people of all tastes. I just thought I'd mention them for future reference. From an admin standpoint, huge new bases can be a big headache. :smile:


Gary

[QUOTE=gd_barnes;192838]Base 40 is the next true monster conjectured at k=3386517.

Gary[/QUOTE]

Ah yes, I've just taken this one to n = 5000. I'll post what I have in the weekend.

Cheers, Willem.

[quote=Siemelink;192846]Ah yes, I've just taken this one to n = 5000. I'll post what I have in the weekend.

Cheers, Willem.[/quote]


NO!! Not 10's of thousands of k's remaining. HELP!! lol :smile:

Riesel Base 58
 

More primes:

12056*58^35062-1
642*58^35088-1
58082*58^35515-1
20826*58^35518-1

38823*58^36929-1

56337*58^37370-1
24204*58^37967-1

90212*58^38591-1
87707*58^38783-1

61779*58^39060-1
64112*58^39243-1

They are starting to get a little thin. I need about 30 more to get under 300 for this base. I intend to stop at 50,000, which is as far as I had sieved.

Riesel Base 55
 

Reserving Riesel Base 55 n=25k-40K All k's

Riesel Base 60
 

Riesel Base 60 complete n=25K-40K

9 primes found and proven (see list) - Results emailed - Base released

17630*60^25123-1
8236*60^26151-1
20314*60^27273-1
17614*60^29555-1
16186*60^29570-1
10063*60^32157-1
5461*60^33331-1
15556*60^34973-1
7331*60^38412-1

Thanks for the great progress Ian.

One thing you might consider doing for efficiency gains is sieving both Riesel and Sierp of the same base together if the # of k's remaining and the current search range are not too much different. Srsieve and sr2sieve can handle that. You can even start the two sides from a different n-range and still gain overall efficiency if the current search depth isn't too much different. For doing that, you'd just have to start them separately in srsieve before merging them together and continuing with sr2sieve.

Base 60 would have been a pretty good one to do that on. Other bases that you could do that on in the future would be 42, 46, 55, 61, 70, and 75. Additionally, even though they are currently at different n-depths, bases 48 and 60 could also be sieved together in sr2sieve after starting each separately in srsieve from a different n-depth.

That was part of the reason I was trying to get many of the higher bases on both sides up to n=25K. I was able to utilize that tact on just 2-3 of them but now the 2 sides are a little more synced up and it can be used on more of them.

I just thought of it again now or would have mentioned it earlier.


Gary

[quote=rogue;192957]More primes:

[code]
12056*58^35062-1
642*58^35088-1
58082*58^35515-1
20826*58^35518-1
38823*58^36929-1
56337*58^37370-1
24204*58^37967-1
90212*58^38591-1
87707*58^38783-1
61779*58^39060-1
64112*58^39243-1
[/code]

They are starting to get a little thin. I need about 30 more to get under 300 for this base. I intend to stop at 50,000, which is as far as I had sieved.[/quote]

k=642 already had a prime at n=34348 so that makes 10 additional k's with primes in this batch for 330 k's remaining at n=40K.

With just 10 in an n=5K range, unfortunately it looks a little unlikely that you'll get to < 300 k's remaining at n=50K. I've had the same thing happen with Sierp base 31. At n=10K, I thought I'd get to 900-1000 k's remaining at n=25K. It then began to look like ~1100, then 1100-1125. Now, as I near n=20K, it's looking more like it will be 1125-1150 will remain at n=25K. I was hoping to get to < than the 1123 k's remaining for Sierp base 19 at n=25K. I think it's going to be close but will probably come in just a little above that...still remarkable for a conjecture 8+ times as high!


Gary

Sierp Base 49
 

Sierp Base 49 complete n=25K-40K

2 primes found and proven - Results attached - Base released

2488*49^29737+1
186*49^33764+1

Also, reserving Sierp base 75 n=25K-40K and Riesel Base 103 n=10K-40K

Sierp Base 53
 

Sierp Base 53 complete n=25K-40K

3 Primes found and proven - Results emailed - Base released

562*53^30802+1
968*53^31503+1
1448*53^35827+1

Reserving Riesel Base 53 (all k's) from n=25K-40K

Reserving Riesel Base 46 (all k's) from n=25K-40K

Riesel Base 39
 

Riesel Base 39

Tested from n=7K-10K. 849 primes found (see attached file)

5332 k's remaining + the 1 I am not testing = 5333 k's left

Releasing the base for now. I'll be back.

[quote=MyDogBuster;193257]Riesel Base 39

Tested from n=7K-10K. 849 primes found (see attached file)

5332 k's remaining + the 1 I am not testing = 5333 k's left

Releasing the base for now. I'll be back.[/quote]

Great work! All Riesel bases < 40 except 3/7/15 are now at n>=10K. :smile:

[QUOTE] All Riesel bases < 40 except 3/7/15 are now at n>=10K.[/QUOTE]

I'm going to assume that you are not showing all remaining k's for those bases. Either that or I reading the conjecture pages wrong.

[quote=MyDogBuster;193303]I'm going to assume that you are not showing all remaining k's for those bases. Either that or I reading the conjecture pages wrong.[/quote]

No, they are all shown for all bases. If a base has > 25 k's remaining, there is a link to the page that shows the k's. Keep in mind that bases 3, 7, and 15 are excluded from my comment.

The only time they might not be shown is if it says "to be shown later" or "testing just started" but that is not the case for any bases < 40.

After an Email exchange with Ian, I realized that what I said here wasn't quite clear. To be more clear:

All k's that are remaining are shown on the web pages for all bases IF THOSE K'S HAVE BEEN ALREADY TESTED.

Obviously there are billions of k's still remaining on bases 3, 7, 15 that are NOT shown as remaining because they have NOT been tested yet. It would not be reasonable (or even possible?) to show them all. The same thing applies to any base where testing has just started, not started but I want to show other info. about the base, or where I only know the # of k's remaining but not the specific k's.

(caps for emphasis, not yelling)

Riesel Base 55
 

Riesel Base 55 complete n=25K-40K

1 prime found and proven - Results emailed - Base released

68*55^29173-1

Riesel base 49
 

Hi everyone,

I've finished my reservation for base 49 Riesel. I did not find a prime, there is 1 k remaining and the reservation is up for grabs. I've attached some of the residues.

Cheers, Willem

Riesel base 40
 

Hi all,

here are the remaining k for riesel base 40. I have taken this to n = 5000, I won't go further. As a double check I've done the range n = 1 to n = 1000 twice. They really don't have primes. I did not double check those k that were prp with n < 1000. If you like, I can post the script I use to generate the k's.

Cheers, Willem.

Riesel base 40
 

Hi all,

here are all the primes I found for Riesel base 40. After finding PRP I've also proved them prime.

Try and find the pattern! Willem.

"Try and find the pattern! Willem."

Don't get me started on that. I'll be up all night. lol

[quote=Siemelink;193498]Hi all,

here are all the primes I found for Riesel base 40. After finding PRP I've also proved them prime.

Try and find the pattern! Willem.[/quote]

The pattern is that I don't see any primes for n<1000 nor for n>5000. lol Anyway, I'm assuming that this is for n=1000-5000. Correct? I also assume that I need to run the n<1000 primes myself. On base 3, I just have people send me the n>1000 primes because the file of smaller primes is too huge.

I don't know how big the file of n<1000 primes is. If it is < ~5 MB compressed, can you Email it to me? That'd save me a little time. For base 3, it's just too big but I'm thinking it wouldn't be so big here.


Gary

[quote=Siemelink;193495]Hi everyone,

I've finished my reservation for base 49 Riesel. I did not find a prime, there is 1 k remaining and the reservation is up for grabs. I've attached some of the residues.

Cheers, Willem[/quote]

How high did you test it? The results only go up to n=180K but you had it reserved to n=200K.


Gary

[quote=Siemelink;193496]Hi all,

As a double check I've done the range n = 1 to n = 1000 twice. They really don't have primes. I did not double check those k that were prp with n < 1000.
Cheers, Willem.[/quote]

How is it that n=1 to n=1000 does not have primes? Are you saying that it only has prp's but no primes? :-)

Riesel Base 53
 

Riesel Base 53 complete n=25K-40K

8 primes found and proven - Results emailed - Base released

2564*53^27296-1
3742*53^29131-1
5272*53^34691-1
808*53^35989-1
4712*53^36250-1
3928*53^37037-1
5114*53^38604-1
334*53^38689-1

Reserving Riesel Base 87 (all k's) from n=25K-50K

Reserving Riesel Base 39 (all k's except 474) from n=10K-15K

Riesel Base 46
 

Riesel Base 46 complete n=25K-40K

2 primes found and proven - Results emailed - Base released

1362*46^25972-1
3147*46^27916-1

[QUOTE=gd_barnes;193523]The pattern is that I don't see any primes for n<1000 nor for n>5000. lol Anyway, I'm assuming that this is for n=1000-5000. Correct? I also assume that I need to run the n<1000 primes myself. On base 3, I just have people send me the n>1000 primes because the file of smaller primes is too huge.

I don't know how big the file of n<1000 primes is. If it is < ~5 MB compressed, can you Email it to me? That'd save me a little time. For base 3, it's just too big but I'm thinking it wouldn't be so big here.


Gary[/QUOTE]

Hi Gary,

you spotted the situation well. I still have the zipped primes with n <= 1000, but I didn't doublecheck this part. It totals 6.6 MB. I can try to send/upload it. Whereto?

Willem.

[QUOTE=gd_barnes;193529]How high did you test it? The results only go up to n=180K but you had it reserved to n=200K.

Gary[/QUOTE]

Yup, I mean that I have completed it to 200k. I ran part of it backwards on a different PC, that is how the residues got lost.

Willem.

[CODE]167974*19^25035+1
363376*19^25160+1
353506*19^25174+1
65386*19^25180+1
568686*19^25352+1
443584*19^25417+1
56986*19^25420+1
174096*19^25492+1
3706*19^25538+1
706894*19^25791+1
705766*19^25798+1
[/CODE]

Riesel Base 87
 

Reserving Riesel Base 87 n=25K-100K

Sierp Base 75
 

Sierp Base 75 complete n=25K-40K

1 prime found and proven - Results attached - Base released

2500*75^38755+1

[quote=Siemelink;193496]Hi all,

here are the remaining k for riesel base 40. I have taken this to n = 5000, I won't go further. As a double check I've done the range n = 1 to n = 1000 twice. They really don't have primes. I did not double check those k that were prp with n < 1000. If you like, I can post the script I use to generate the k's.

Cheers, Willem.[/quote]

Very nice work Willem. I ran my usual double check for n=1-2000 on new bases. Everything balanced with your primes and k's remaining, which included removal of k's where k=m^2 and m==9 or 32 mod 41 (per the algebraic factors thread) and k's that are divisible by 40 where k-1 is composite.

To make it official: Riesel base 40 has 4306 k's remaining at n=5K. Details will be on the web pages in a little while.

Ian,

Riesel base 40 with a conjecture 2-1/2 times larger than Riesel base 39 has less k's remaining at n=5K than base 39 does at n=10K. It might be one worth taking to n=10K or 15K in the near future. It dropped nicely from 7095 k's remaining at n=2K to 4306 remaining at n=5K. It is clearly a fairly prime base.


Gary

Reserving Sierp bases 39 and 40 to n=10K.

With these two bases at n=10K and 5K respectively on the Riesel side and conjectures far smaller, it's time to get them going. On 2 cores, it should take 1.5-2 weeks at the most.

Once complete with this effort, only Sierp base 35 will remain to get all Sierp bases <= 50 (except 3/7/15) tested to n=10K. The only base remaining on the Riesel side to complete the same is base 40, which thanks to Willem's recent large effort on it, only needs to be tested from n=5K-10K.

With my next web pages update shortly, I'm going to post the general info. for Sierp bases 35, 39, and 40.


Gary

Sierp Base 72
 

Sierp Base 72 reserving all k's n=25K-40K

Just for fun, I took the first two Riesel base 40 k's to n=10K with PFGW to see if I could knock them out. Unfortunately, neither of them fell, so here's the results. (Note: no reservation.)

Riesel Base 72
 

Riesel Base 72 - Reserving from n=140K-n=400K

Sierp Base 72
 

Sierp Base 72 complete n=25K-40K

Nothing found - Results attached - Base released

Riesel base 39 k=474 is complete to n=150K, no primes. Results are attached for 100K-150K; releasing.

I've taken Riesel base 40 k=1805 up to 10K to round off my earlier effort up to k=2000. No primes were found; results attached for 5K-10K.

Sierp Base 80
 

Reserving Sierp Base 80 (all k's) n=25K-100K

Reserving Sierp base 82 to n=25K, 1097 k's remain at n=100 :smile:

Kenneth!

Riesel Base 87
 

Riesel Base 87 complete n=25K-100K

4 primes found and proven (see list) - Results emailed - Base released

One of the primes hits the Top 5000

186*87^30922-1
472*87^33116-1
1628*87^42252-1
1004*87^76524-1 [URL]http://primes.utm.edu/primes/page.php?id=90634[/URL]

I've taken two more Riesel base 40 k's up to n=10K, now leaving all k's <5K complete to 10K. I was finally able to pull a prime out of this base on one of them:

4673*40^6440-1 is prime! (18.1555s+0.0011s)

Results are attached for k=3650 from 5K to 10K, and for k=4673 from 5K to the prime.

Sierp base 39 is complete to n=10K. 616 k's remaining. Now unreserved. Here's a breakdown of k's remaining at different n-depths:

n=2.5K; 1101 k's remain
n=5K; 806 k's remain
n=10K; 616 k's remain

k's remaining will be shown on the web pages shortly.

Sierp base 40 should be done to n=10K in < 2 days. I'm expecting it to have ~680 k's remaining...barely more than base 39 for a conjecture ~5 times as high! It should drop to less remaining by n=15K-20K somewhere.


Gary

Hmm...that sounds like an interesting base. I'll [b]reserve Sierp. base 39 from 10K-25K[/b] and see how it goes. :smile:

Sierp base 40 is complete to n=10K. 683 k's remaining. Now unreserved. Here's a breakdown of k's remaining at different n-depths:

n=2.5K; 1374 k's remain
n=5K; 936 k's remain
n=10K; 683 k's remain

k's remaining shown on the web pages.

Sierp base 40 should drop to less k's remaining than Sierp base 39 by n=~20K for a conjecture ~5 times as high! At n=10K, the remaining count is 683 to 616.

Reserving Sierp base 35 to n=10K. Finishing this will complete all Sierp bases <= 50 to n=10K except huge-conjectured bases 3/7/15.

I am running a lot of odd high bases, just to get a feeling.
I will carefully catalog what's there, and the ranges and result files, but for now, some cleared k's to include into the webpage:

[FONT=Arial Narrow]610*3^122522+1 is 3-PRP! (44.9233s+0.0035s) <== that's Sierp base 81, k=5490[/FONT]
[FONT=Arial Narrow]729*70^28625-1 is 3-PRP! (54.6545s+0.0047s)[/FONT]

Plus, two Riesel 61s... but don't have them right now on me. Taking Riesel base 61 to 50K, officially.

[quote=gd_barnes;195848]...with one k left... If proven, Riesel base 22 would have 5 primes of n>25K and Sierp base 17 would have 4. All the rest above would have 3. Sierp base 17 would be the 1st one with 3 primes of n>100K![/quote]
Here's three for Riesel base 61:
[FONT=Arial Narrow]6168*61^29180-1 is 3-PRP! (62.1023s+0.0030s)
1644*61^31715-1 is 3-PRP! (42.4267s+0.0034s)
198*61^41855-1 is 3-PRP! (75.2291s+0.0049s)[/FONT]
and still going (4 k left). This one could /one day/ have 7.