S218 is complete to n=200K; no primes found for n=100K-200K; 2 k's still remain; base released.

R218 is complete to n=200K; no primes found for n=100K-200K; 2 k's still remain; base released.

All 2k bases < 280 are now complete to n=200K.

R198
 

R198 tested n=25K-100K

Primes found:
389*198^25497-1
1922*198^31592-1
3420*198^35891-1
947*198^36807-1
848*198^40132-1
2388*198^43718-1
2187*198^43879-1
2791*198^48837-1
807*198^50662-1
1284*198^73379-1
2661*198^95399-1

29k's remaining

Results emailed - Base released

I would like to reserve R106 to n=25K

S213 is complete to n=100K; 5 primes found for n=50K-100K shown below; 21 k's remain; base released.

Primes:
868*213^50543+1
3964*213^54293+1
710*213^69185+1
2984*213^74663+1
3602*213^85261+1

Reserving R145 and R171 to n=25K.

R171 is complete to n=25K; 209 primes were found for n=2.5K-25K attached below; 129 k's remain; base released.

R145 is complete to n=25K; 466 primes were found for n=2.5K-25K attached below; 239 k's remain; base released.

All bases < 200 with conjectured k < 600K are complete to n=25K. :smile:

S199
 

S199 tested n=50K-100K

Found Primes:
5434*199^53991+1
96*199^54582+1
10876*199^56846+1
9634*199^57503+1
2358*199^64862+1
11476*199^73026+1
4866*199^77902+1
8154*199^82511+1
2176*199^95974+1
1096*199^96048+1
5626*199^99962+1

41k's remaining - Base released

S235 completed to n=100000. No new primes found. Released. I'll e-mail the residues to Gary separately.

Taking R151 to n=100000.

[QUOTE=Mathew;317338]I would like to reserve R106 to n=25K[/QUOTE]

Complete 571 primes found (Attached).

[QUOTE]Complete 571 primes found (Attached). [/QUOTE]

That was a lot of work. Good job Mathew.:cool:

[QUOTE=Mathew;321948]Complete 571 primes found (Attached).[/QUOTE]

[QUOTE=MyDogBuster;321956]That was a lot of work. Good job Mathew.:cool:[/QUOTE]

I second that. Nice work! :bow:

Thank you, having over [TEX]\frac{1}{3}[/TEX] of the k's be prime really helps speed up the process.

R241
 

Reserving R241 to n=50K

Taking R151 to n=100000.

r214 complete to n = 400e3. no primes
continuing to n = 500e3

S150
 

Reserving S150 - n=25K-50K

I just started R151 on PRPNet yesterday and I found a prime this morning:

3210*151^90972-1

That k is very lightweight.
_________________
[COLOR=blue][/COLOR]
[COLOR=blue]Another one:[/COLOR]
[COLOR=blue] [/COLOR]
[COLOR=blue]618*151^83255-1[/COLOR]
[COLOR=blue]_________________[/COLOR]

[COLOR=purple]Two in one day:[/COLOR]
[COLOR=purple] [/COLOR]
[COLOR=purple]3830*151^89705-1[/COLOR]
[COLOR=purple] [/COLOR]
[COLOR=purple]With the resources at my disposal, I'm expecting about 1 to 2 per week.[/COLOR]

Mark, can I ask that you wait until you are complete with your R151 reservation and then report all the primes? Otherwise we're likely to end up with 40-50 posts of primes. Thanks.

[QUOTE=gd_barnes;325617]Mark, can I ask that you wait until you are complete with your R151 reservation and then report all the primes? Otherwise we're likely to end up with 40-50 posts of primes. Thanks.[/QUOTE]

Will do.

R241
 

R241 tested n=25K-50K

8 primes found - 31 remain
10812*241^30334-1
452*241^30683-1
5444*241^31916-1
4304*241^33773-1
7380*241^34010-1
13364*241^37978-1
1374*241^42950-1
10820*241^48191-1

Results emailed - Base released

Taking R212 to n=150K.

S150
 

S150 tested n=25K-50K, 35 primes found, 93 remain

Results emailed - Base released

R212 is complete to n=150K, no primes.

Taking R243.

S126 released due to inactivity and lack of response.

status r214
 

r214 at n=412e3 ; no primes

continuing

Taking S241 to n=25000.

S128/S512
 

[QUOTE=rogue;292422]I have completed these to the 900K/700K and am releasing. No prime was found. Very disappointing. I know it was a long shot, but these were the largest numbers I've ever tested and required a lot of resources.[/QUOTE]
I have raised the search limit for this pair to 1029K/800K. No prime was found.

will work a bit on S126

[QUOTE=Batalov;340837]I have raised the search limit for this pair to 1029K/800K. No prime was found.[/QUOTE]

Do you have results (residues)?

Do you plan to test further?

Yes, Proth residues.
I have planned to stop at 7.7M limit in base 2.
(This would be 1.1M for S128 and 855555 for S512.)

I will email the residues when I will reach this limit.

[QUOTE=Batalov;340939]Yes, Proth residues.
I have planned to stop at 7.7M limit in base 2.
(This would be 1.1M for S128 and 855555 for S512.)

I will email the residues when I will reach this limit.[/QUOTE]

Hopefully you won't have to search that far...

S128/S512
 

Well, it's done and nothing came out. I will email the residues today.

I'll run up to 8.19M (which is the "even" 1.17M/0.91M limit for S128/S512) -- the FFT size seems to stay the same and these are about 15hrs apiece. Will stop at the next FFT size breakpoint (which 8.97M)...

Will try to run until n<=9M

[QUOTE=Batalov;341051]Well, it's done and nothing came out. I will email the residues today.

I'll run up to 8.19M (which is the "even" 1.17M/0.91M limit for S128/S512) -- the FFT size seems to stay the same and these are about 15hrs apiece. Will stop at the next FFT size breakpoint (which 8.97M)...

Will try to run until n<=9M[/QUOTE]

OK I will note that you have tested to n=1.1M base 128 and n=855.5K base 512.

You said you'll "run up to" 8.19M and then later you said you will "stop at the next FFT" at n=8.97M and then even later you said you would "try to run" to n=9M base 2. lol So which is it? I'll assume 9M base 2 for now, which means I'll keep it reserved for you to n=1.2857M base 128 and n=1M base 512.

Let me know if different.

S512 is done to 1M, and S128, to 1.285M (or [SUP]9[/SUP]/[SUB]7[/SUB]M, if you will).
Sadly, no prime existed in this interval for k=5 and (n%7==3 || n%9==0).
These bases are released.

S126 base tested upto n=2500 and k upto 776700, 3975 k left by my count ( err notepad line count).
pl_prime sent to gd_barnes. Does anything else is needed?
Testing remaining k between 888 and 600,000 upto n=10,000

modify that to the whole rage, from 888 to 776700.

so..
done with S126.
n@10k
2090 k removed, 1885 remain
File for n from 10k to 25 k availlable and sent to Gary

S151
 

I would like to reserve S151.

status r214
 

r214 at n = 463e3

continuing...

R151 completed to n=100000. 56 primes found:

[code]
3210*151^90972-1
618*151^83255-1
3830*151^89705-1
7428*151^87466-1
6744*151^88088-1
27878*151^87412-1
38810*151^70578-1
33534*151^87478-1
56144*151^72576-1
58158*151^86234-1
64200*151^73518-1
76322*151^96212-1
83010*151^87814-1
87684*151^71216-1
93270*151^82646-1
104480*151^76904-1
105312*151^87519-1
112080*151^75586-1
129104*151^74394-1
128844*151^78671-1
135602*151^76108-1
136404*151^86720-1
140744*151^81962-1
143318*151^75317-1
131538*151^97873-1
146778*151^80646-1
149054*151^87858-1
153540*151^86817-1
157530*151^76979-1
151488*151^86615-1
164922*151^78737-1
166460*151^99885-1
173688*151^84021-1
185040*151^89754-1
181862*151^84180-1
191234*151^78778-1
189714*151^90048-1
201482*151^80954-1
182064*151^97616-1
209708*151^86535-1
219920*151^84805-1
231932*151^72644-1
255744*151^71457-1
262712*151^72810-1
263510*151^74916-1
272414*151^87000-1
279774*151^95034-1
283964*151^83207-1
286772*151^94438-1
313748*151^77735-1
322764*151^81170-1
324888*151^78615-1
312372*151^99685-1
328778*151^72468-1
335724*151^96627-1
331418*151^98427-1
[/code]

Residues and updated sieve file to be sent to Gary when I have some time.

Gary, did you get my R151 residues and the updated sieve file?

[QUOTE=MagentaSunrise;344426]I would like to reserve S151.[/QUOTE]

Magenta (Phillip),

Welcome to CRUS! :smile:

Since this is the first post that you have made in the forum, before I officially reserve the base for you, can you introduce yourself, give us an idea of your processing power, how you intend to test the base (sieving and testing programs), and how high you intend to search it? With 175 k's remaining at n=25K, S151 is quite a bit of work for most people. Thank you.


Gary

[QUOTE=rogue;345328]Gary, did you get my R151 residues and the updated sieve file?[/QUOTE]

Yeah, got them. I'm working to update the pages tonight.

BTW, very nice work. That was a huge effort! :smile:

[QUOTE=gd_barnes;345760]Magenta (Phillip),

Welcome to CRUS! :smile:

Since this is the first post that you have made in the forum, before I officially reserve the base for you, can you introduce yourself, give us an idea of your processing power, how you intend to test the base (sieving and testing programs), and how high you intend to search it? With 175 k's remaining at n=25K, S151 is quite a bit of work for most people. Thank you.


Gary[/QUOTE]

Hello Gary,
Sorry for the lack on information. I can understand that a lot of people sign up and never complete their work.
I am Phillip and I live in Virginia, USA. I enjoy searching for prime numbers in my spare time. I have access to approximately 25-30 four-core machines, when they are available, which I use for mathematical computation. I am using srsieve for sieving (complete) and pfgw for testing/proving. It appears that these are popular programs and I have been using pfgw for many years. I thought that 25k was small enough that some progress could be made fairly quickly ( currently, I have found 35 primes between 25k and 50k and 30 more primes between 50k and 100k). Is there a certain time that one looks for in reserving a range? I predict 3-5 months to complete this assignment. Is that reasonable?

I would like to reserve S151 to 200K.

[QUOTE]Hello Gary,
Sorry for the lack on information. I can understand that a lot of people sign up and never complete their work.
I am Phillip and I live in Virginia, USA. I enjoy searching for prime numbers in my spare time. I have access to approximately 25-30 four-core machines, when they are available, which I use for mathematical computation. I am using srsieve for sieving (complete) and pfgw for testing/proving. It appears that these are popular programs and I have been using pfgw for many years. I thought that 25k was small enough that some progress could be made fairly quickly ( currently, I have found 35 primes between 25k and 50k and 30 more primes between 50k and 100k). Is there a certain time that one looks for in reserving a range? I predict 3-5 months to complete this assignment. Is that reasonable?[/QUOTE]

Welcome Phillip. I'm MyDogBuster (Ian) and I also Admin this project and NPLB. Just wanted to say hi (I'm quite close to you, I'm in Delaware) If you have any technical questions, we have enough people here that are more than willing to help. I'll let Gary answer your questions. Have fun.

[QUOTE=MagentaSunrise;347647]Hello Gary,
Sorry for the lack on information. I can understand that a lot of people sign up and never complete their work.
I am Phillip and I live in Virginia, USA. I enjoy searching for prime numbers in my spare time. I have access to approximately 25-30 four-core machines, when they are available, which I use for mathematical computation. I am using srsieve for sieving (complete) and pfgw for testing/proving. It appears that these are popular programs and I have been using pfgw for many years. I thought that 25k was small enough that some progress could be made fairly quickly ( currently, I have found 35 primes between 25k and 50k and 30 more primes between 50k and 100k). Is there a certain time that one looks for in reserving a range? I predict 3-5 months to complete this assignment. Is that reasonable?

I would like to reserve S151 to 200K.[/QUOTE]

Hi Phillip,

Once again, welcome to CRUS and thank you for the detailed info! :smile: It does sound like you know what you are doing so I will "officially" reserve the range for you. Yes, we do sometimes have new people who make reservations way out of line with their resources and/or their knowledge of how to search them. It sounds like you have well more than enough resources to tackle this range so we greatly appreciate your contribution. There is no specific timeline for completing reservations. I generally request that people "check in" with a status update at least once every 2-3 months so that we know that they are progressing.

What I will need from you when you are done is the primes and the residues files, i.e. the pfgw.out file from PFGW.

The only warning that I'll make is the "boredom factor". 3-5 months is a long time to let 100+ cores work on one effort in which only "smallish" primes are found so it will require some stamina on your part. I also think that you'll find that it may take longer than that starting from 175 k's. n=50K-100K likely took you ~6 times as long as n=25K-50K took and n=100K-200K will likely take you ~6 times as long as n=50K-100K assuming the removal of a normal # of k's as you go. (If primes did not remove k's, it would be almost exactly 8 times as long.) Alas, that is OK, you can take a year or more on it if you wish. This is just a heads up. If you end up choosing to stop at n=150K, that is OK with us. Actually I would be impressed with anyone who has the stamina to take so many k's to n=200K.

Good luck and may the prime gods be with you. :smile:


Gary

[QUOTE=MagentaSunrise;347647]I have access to approximately 25-30 four-core machines, when they are available, which I use for mathematical computation. I am using srsieve for sieving (complete) and pfgw for testing/proving. It appears that these are popular programs and I have been using pfgw for many years.

I would like to reserve S151 to 200K.[/QUOTE]

If all of these machines are on the same network, you should consider running PRPNet. This way all of the work can be managed from a central location. Because all test results are collected on one machine, thus don't need to access all machines to get residues. You can also track progress via webpages and get an idea how much work is really left.

R136 & R199
 

Reserving R136 & R199 to n=50K

[QUOTE=rogue;347701]If all of these machines are on the same network, you should consider running PRPNet. This way all of the work can be managed from a central location. Because all test results are collected on one machine, thus don't need to access all machines to get residues. You can also track progress via webpages and get an idea how much work is really left.[/QUOTE]

Thanks rogue. These machines are all on the same network -- all files are stored on the same server -- although I currently must ssh to each machine separately to start a new file. I will look at PRPNet to see if I can get it to work on this system and save some of the time spent starting instances of the program.

R199
 

R199 tested n=25K-50K - 13 primes found - 52 remain

4034*199^25022-1
11366*199^26223-1
10386*199^26735-1
7706*199^30077-1
10674*199^32804-1
6306*199^35135-1
5604*199^37222-1
10424*199^37736-1
7796*199^41145-1
7944*199^41480-1
9174*199^40860-1
6654*199^44344-1
7544*199^49834-1

Results emailed - base released

Wouldn't sr2sieve be better than srsieve for S151? How many ks is the max for sr2sieve?

[QUOTE=henryzz;348219]Wouldn't sr2sieve be better than srsieve for S151? How many ks is the max for sr2sieve?[/QUOTE]

You would have to use the -x parameter and by doing so would slow down sr2sieve. That would probably still be faster than srsieve.

[QUOTE=rogue;348222]You would have to use the -x parameter and by doing so would slow down sr2sieve. That would probably still be faster than srsieve.[/QUOTE]
I got bored and tested it. I very lightly sieved with srsieve and then did some tests starting at 1e11.

[code]srsieve 32-bit: 140000 p/sec
srsieve 64-bit: 210000 p/sec
sr2sieve 64-bit -x: 350000 p/sec
sr2sieve 64-bit -c: 580000 p/sec
[/code]

As it turns out working out the legendre tables only took around 3 minutes. I think this is because the ks are relatively small. The speed noticably slowed down for the larger ks.

Something worth noting is that 60516=246^2.

S136
 

Reserving S136 all k's to n=50K

S136
 

S136 tested n=25K-50K
26 primes found - 74 remain
Results emailed - Base released

Taking R212 to 200k

[QUOTE=rogue;267219]S227 completed to n=200000. No primes. Residues and sieve file attached.[/QUOTE]
I'll take S227 to 1M.

R168
 

Reserving R168 to n=50K

Serge has completed:

R212 to n=200K
S227 to n=1M

:bow:

r214
 

r214 done to n=500e3, nothing found
results emailed

base released

S147
 

Reserving S147 to n=50K

R136
 

R136 tested n=25K-50K

34 primes found - 64 remain

Results emailed - base released

S241 completed to n=25000 and released. 2209 primes found.

S151 results
 

S151 is complete to 200K

83 primes found
92 k left.
results emailed.

base released.

S105
 

Reserving S105 to n=50

[QUOTE=MagentaSunrise;355418]S151 is complete to 200K

83 primes found
92 k left.
results emailed.

base released.[/QUOTE]

Outstanding work and perseverance Phillip! Thank you.

S147
 

S147 tested n=25K-50K

12 primes found - 48 remain

Results emailed - Base released

Dmitry has completed R243 to n=100K; 25 primes were found for n=25K-100K; 38 k's remain; base is released.

Taking S222.

R108
 

Reserving R108 to n=50k

Hi, new here.
I'm fairly familiar with the work involved especially sieving and would like to participate.

I'd like to reserve S117 and R117 up to 250K.

[QUOTE=kenet;359836]Hi, new here.
I'm fairly familiar with the work involved especially sieving and would like to participate.

I'd like to reserve S117 and R117 up to 250K.[/QUOTE]

Hi Kenet,

Can you introduce yourself a little more and give us an idea of your CPU resources? Sieving and testing 14 k's for n=100K-250K is a fair amount of work. There is no timeframe for completing reservations but we just want to make sure that you have an idea of the amount of work that you are reserving. After you answer, I'll show the official reservation on our pages.


Thanks,
Gary

I found about prime searching thanks to an ex-flatmate who was involved with primegrid and other projects. At the time I couldn't get involved due to spending very long periods away from home. Now that things have settled down I thought it would be interesting to take some work and contribute. Chose to start here mainly because I understand the concept. Also I like that you can take an independent chunk of work and manage your own pace.

Now, to the point. I'm planning to use 6 cores (occasionally rising to 8). I've sampled the range and a rough calculation tells me it should take about 9 months if no primes are found. I hope I won't be that unlucky and it will be less than that. If my estimate is wrong and it would take considerably longer, I could always sieve to 250K (which I'm doing) but stop testing at 200K.

[QUOTE=kenet;360809]I found about prime searching thanks to an ex-flatmate who was involved with primegrid and other projects. At the time I couldn't get involved due to spending very long periods away from home. Now that things have settled down I thought it would be interesting to take some work and contribute. Chose to start here mainly because I understand the concept. Also I like that you can take an independent chunk of work and manage your own pace.

Now, to the point. I'm planning to use 6 cores (occasionally rising to 8). I've sampled the range and a rough calculation tells me it should take about 9 months if no primes are found. I hope I won't be that unlucky and it will be less than that. If my estimate is wrong and it would take considerably longer, I could always sieve to 250K (which I'm doing) but stop testing at 200K.[/QUOTE]

OK sounds good. 6 cores running most of the time should be sufficient. I'll reserve the bases for you. Keep in mind that the timings vary with the square of the n-value. So an n=200K test would take 4 times as long as an n=100K test. But like you said, you can cut it off at n=200K if you wish. Good luck! :smile:

S105
 

S105 tested n=25K-50K

16 primes found - 70 remain

Results emailed - Base released

[COLOR="Red"]Reserving R192 to n=50K[/COLOR]

S222 completed to n=10K.

5975 k's remain at n=2500
2974 primes were found for 2827 unique k's
3148 k's remain at n=10K
Base released.

S115, S126
 

I would like to reserve
S115 to 100K, and
S126 to 25K

S115, S126 update
 

S115 complete to 100K
4 primes found.

S126 complete to 25K
668 primes found.

both bases released.
primes and residues emailed.

R108
 

R108 complete to n=50k
28 primes found for n=25k-50k
91 k values remain

Results emailed, base released

S108
 

Reserving S108 n=25K to 50K

Reserving S200.

R168 tested n=25K-50K

8 primes found - 46 remain

Results emailed - Base released

R117 & S117 tested to n=150K

1 prime:
1776*117^141799+1

continuing with the rest

Status update.

S200 @ 600K, search continues.

Reserving S247 to n=50k

R192
 

R192 tested n=25K-50K
35 primes found - 139 remain
Results emailed - Base released

S108
 

S108 tested n=25K-50K
54 primes found - 181 remain
Results emailed - Base released

Status update.

S200 @ 800K, search continues.

S222 complete to 50K
 

S222 is complete to 50K.
1546 primes found.
1602 k remain.
results sent. base released.

S247
 

S247 tested n=25K-50K

52 primes found - 208 remain

Results emailed - Base released

Starting sierp base 130.

Lennart

Reserving new bases R225 & S225 to n=10K

[QUOTE=Lennart;381906]Starting sierp base 130.

Lennart[/QUOTE]


I will release s130 to do some more sieving on base 2/4.

Lennart