Bases 101-250 reservations/statuses/primes
 

Please use this thread for posting reservations, statuses, and primes on bases 101-250 for "Conjectures 'R Us".

S227 completed to n=200000. No primes. Residues and sieve file attached.

Reserving R157, R187, and S165 to n=100K.

Rincewind has base S165 reserved to n=50K so I will test it for n=50K-100K.

Here are the results for n=35.000. (for n=40.000 follow in the next post)

550*165^39769+1 is prime

I think it is not very effective to continue with this range with my hardware (it looks like I'm slowing down the process of the whole project), so I'll release the rest of the range.
But I'll look if I can do something else.

Rincewind

And here comes the rest.

OK I'll increase my reservation on S165 to include n=40K-100K. Now with only 6 k's remaining and it only needing one more prime, there is a very high chance that it can be included in the new PRPnet server <= 5k effort.

R157 is complete to n=100K; no primes were found for n=50K-100K; 6 k's remain; base released.

I had a 2 in 3 chance of finding a prime in this range and adding the base to the new PRPnet drive. No such luck. I'm now working on R187, which is very similar to R157. It also has 6 k's remaining at n=50K and is just barely higher average weight. It has about a 7 in 10 chance of prime.

R187 is complete to n=100K; no primes were found for n=50K-100K; 6 k's remain; base released. :-(

Amazingly with only approximately a 1 in 10 chance of both R157 and R187 having zero primes for n=50K-100K, it came to pass leaving them each with 6 k's remaining and excluding both from the upcoming PRPnet drive.

I'm now working on S165 that has 6 k's remaining at n=40K. With a lower starting search depth and a much heavier weight base, I'll start to think something is wrong with my machines if it doesn't yield a prime for n=40K-100K.

S118 complete to n=200K, no primes. Results attached

S165 is complete to n=100K; 2 primes were found for n=40K-100K shown below; 4 k's remain; base released.

Primes:
500*165^55335+1
1154*165^82091+1


This base is now officially added to the PRPnet 2 drive.

R123 has been released at n=100K due to lack of activity in 6 months and response to PMs over several weeks.

Extending R159 reservation to n=250K.

Un-reserving R233

Reserving R135, R138, S161, & S162 to n=100K.

Reserving S178 to n=100K.

R143
 

Reserving R143 to n=50K

R143
 

R143 tested n=25K-50K - Nothing found

Results emailed - Base released

S161 is complete to n=100K; 3 primes were found for n=50K-100K shown below; 7 k's remain; base released.

Primes:
1256*161^56609+1
898*161^94352+1
1328*161^99591+1

The last 2 are my first CRUS top-5000 primes in ages. :smile:

I would like to reserve R107 to n=100K

Does anyone have an Email address for vmod? I'd like to get some info. on his reservations. He hasn't logged into Mersenneforum since May and so hasn't responded to some PMs.

If he is done with it, one of his bases that has 1k at n=150K could go in the PRPnet2 drive as we near that test limit.

R135 is complete to n=100K; 2 primes were found for n=50K-100K shown below; 10 k's remain; base released.

Primes:
2622*135^55334-1
1206*135^58842-1

R138 is complete to n=100K; 9 primes were found for n=25K-100K shown below; 8 k's remain; base released.

Primes:
[code]
1369*138^27887-1
794*138^28055-1
9*138^35685-1
291*138^35886-1
359*138^47249-1
557*138^52295-1
1258*138^54256-1
1087*138^55582-1
1368*138^66926-1
[/code]

Reserving R222 to n=25k and S111 to n=100k.

S162 is complete to n=100K; 9 primes were found for n=25K-100K shown below; 10 k's remain; base released.

[quote]
3277*162^26188+1
5217*162^26238+1
1398*162^33797+1
2377*162^47102+1
2163*162^49760+1
933*162^55381+1
1250*162^58127+1
3496*162^60128+1
1764*162^76926+1
[/quote]

R222 completed to n=10K, 667 k's remain.

R159 complete from n=100K-250K, no primes.

R102 completed to n=100000 and released. Primes found:

32*102^43302-1
254*102^58908-1
1037*102^43460-1
1527*102^49462-1
1607*102^82644-1

7 k remain. That was a fruitful range.

S178 is complete to n=100K; 1 prime was found for n=50K-100K shown below; 14 k's remain; base released.

Prime:
283*178^81663+1

With this and Mark's completion of R102 to n=100K, this completes all bases <= 200 with <= 20 k's remaining (at n<=50K) to n=100K. :smile: That officially eliminates any reasonable chance of adding any more bases to the PRPnet 2nd drive.

Reserving R212, S212, S228, S236, and S248 to n=100K.

reserving r214 to n=200e3

R217 S249
 

Reserving R217 & S249 from the recommended list to n=50K

S249
 

S249 tested n=25K-50K

Primes found:
546*249^30876+1
136*249^40974+1

10k's remaining

Results emailed - Base released

Removed from recommended list

R212 is complete to n=100K; 1 prime was found for n=50K-100K shown below; 4 k's remain; base released.

Prime:
44*212^62692-1

R217
 

R217 tested n=25K-50K

Primes found:
1268*217^27102-1
2226*217^27255-1
50*217^36180-1
438*217^36640-1

7k's remain @ n=50K

Results emailed - Base released

Removed from recommended list

Reserving R217, R235, and S249 to n=100K.

S212 is complete to n=100K; 2 primes were found for n=50K-100K shown below; 4 k's remain; base released.

Primes:
38*212^81053+1
56*212^88905+1

S228 is complete to n=100K; 1 prime was found for n=50K-100K shown below; 4 k's remain; base released.

Prime:
292*228^50916+1

R222 completed to n=25K. Some stats below.
245.5 cpu-days
376352 tests
222 primes
445 k's remain

Reserving S222 to n=25K.

[QUOTE=unconnected;271760]Reserving S222 to n=25K.[/QUOTE]

Oh no, conj. k=389359 is too big for me. Dropping this reservation.

S236 is complete to n=100K; no primes were found for n=50K-100K; 5 k's remain; base released.

S248 is complete to n=100K; no primes were found for n=50K-100K; 5 k's remain; base released.

Reserving S163 to n=100K.

Reserving S177 to n=100K.

S166
 

Reserving S166 to n=10K

This is interesting because I started this back in Apr 2010. I had it on a machine testing the start up script to n=10K. The machine crashed and all I could save was the HD. Well I was just looking for a spare HD and I found the remnants of S166 on it. It actually did finish to n=10K. I'll clean it up and send Gary the results.

Edit: There's another one out there but it's not complete. I'll see what I can save.

S166
 

Sierp Base 166
Conjectured k = 140947
Covering Set = 7, 13, 43, 167
Trivial Factors k == 2 mod 3(3) and k == 4 mod 5(5) and k == 10 mod 11 (11)

Found Primes: 67855k's - File emailed

Remaining k's: 225k's - Tested to n=10K - File emailed

Trivial Factor Eliminations: 72609k's

MOB Eliminations: 254k's - File emailed

GFN's:
166
27556

Base Released

R217 is complete to n=100K; 1 prime was found for n=50K-100K shown below; 6 k's remain; base released.

Prime:
1106*217^90905-1

R235 is complete to n=100K; 5 primes were found for n=25K-100K shown below; 10 k's remain; base released.

Primes:
[code]
3270*235^34802-1
4032*235^35848-1
2148*235^50099-1
30*235^56835-1
1136*235^83633-1
[/code]

Releasing R148 and S148 due to lack of activity and response over 4-6 months.

will take over R148

[QUOTE=firejuggler;272952]will take over R148[/QUOTE]

Welcome to CRUS firejuggler. If you have any questions about sieving or testing, let us know.

Can I ask what range you plan to sieve and test and how many cores can you dedicate to it? 7 k's at n=120K for such a high base is a lot of work. One modern quad-core running all 4 cores 24x7 should be enough but progress will still be slow.

S249 is complete to n=100K; 2 primes were found for n=50K-100K shown below; 8 k's remain; base released.

Primes:
286*249^52498+1
754*249^54387+1

in the beginning i was planning to do 120-200k, on a core 2 duo... upon sieving /llr'ing i'll do it up to 130k only.

ok, back to reality . i won't be able to do this. releasing b148...
find k=1256 sieved up to 1.13e12 and the other k sieved up to 67.5e9
sorry again. (n 120k-130k)

Reserving S166 to n=25K (recommended base). Rough time estimate is 2 weeks.

Reserving S171 and S211 to n=100K.

S163 is complete to n=100K; 4 primes were found for n=25K-100K shown below; 17 k's remain; base released.

Primes:
[code]
216*163^28267+1
1774*163^28413+1
2820*163^29308+1
1224*163^33589+1
[/code]

S128 / S512
 

For those of you who are interested, I have a list of 1074 candidate n to be tested for S128 and S512, courtesy from John over at PrimeGrid. In this list are n that meet the following criteria:

n (base 2) from 5.33e6 to 6e6
n is for S128 or n is for S512 (in some cases n is for both S128 and S512)
n sieved to 30P (3e16)
n not tested by ProthSearch searchers (many n < 6e6 have been tested, but the range is incomplete)

In other words, if you find a prime with this list, then you have proven either S128, S512, or both S128 and S512. (Assuming that I picked the correct n from the much larger list that I started with.)

If someone here decides to take this on, I recommend 64-bit pfgw over 32-bit llr because it is much faster. If Jean ever releases a 64-bit llr, then all bets are off. I expect that 10 cores could crunch this in about two months.

I will be getting a more current sieve file from John in the coming weeks, but I don't expect it to remove more than 5% or so of the candidates.

R115
 

Reserving R115 to n=50K

S177 is complete to n=100K; 6 primes were found for n=25K-100K shown below; 17 k's remain; base released.

Primes:
[code]
2308*177^45318+1
584*177^49895+1
2692*177^71820+1
2798*177^78238+1
1762*177^79972+1
242*177^83855+1
[/code]

Reserving R143 to n=100K.

S168
 

Reserving S168 to n=50K

S166 complete to n=25K. 78 primes found, 147 k remaining. Results emailed to Gary/Max.

S171 is complete to n=100K; 6 primes were found for n=25K-100K shown below; 18 k's remain; base released.

Primes:
[code]
5196*171^34876+1
17588*171^45506+1
14576*171^57173+1
14940*171^59132+1
17606*171^62387+1
18448*171^85558+1
[/code]

R115
 

R115 tested n=25K-50K

15 primes found - 57 remain

Results emailed - Base released

S193
 

Reserving S193 to n=50K

S211 is complete to n=100K; 8 primes were found for n=25K-100K shown below; 15 k's remain; base released.

Primes:
[code]
17250*211^29927+1
3378*211^31594+1
20212*211^35583+1
18750*211^37130+1
7050*211^38592+1
16600*211^42863+1
10440*211^44039+1
9906*211^72179+1
[/code]

Will do S150 to 25K.

S150: equator was crossed at ~10.5K:
401 - 201 = 200 k remain.

Excellent. Base 150 is definitely the highest weight of the recently recommended bases.

R143 is complete to n=100K; 4 primes were found for n=50K-100K shown below; 19 k's remain; base released.

Primes:
[code]
434*143^54504-1
1042*143^54527-1
688*143^64933-1
1004*143^89560-1
[/code]

All bases <= 256 with <= 25 k's remaining are now complete to n=100K! :smile:

S168
 

S168 tested n=25K-50K

18 primes found - 79 remain

Results emailed - Base released

S199
 

Reserving S199 to n=50K

S150 is almost done. Will do R150 to 25K, too.

S150 is done to 25K: [COLOR=#000][FONT=verdana]273 primes, [/FONT][/COLOR][FONT=verdana][COLOR=#000]128 k remain. [/COLOR][/FONT][FONT=verdana][COLOR=#000]Results emailed. Base released.[/COLOR][/FONT]

I would like to reserve R215 to 25K

S193
 

S193 tested n=25K-50K

18 primes found - 56 remain

Results emailed - Base released

S128 / S512
 

Taking these based upon the file I posted weeks ago.

[QUOTE=rogue;278928]Taking these based upon the file I posted weeks ago.[/QUOTE]

A couple of assumptions and a question:

1. I assume that you are talking about the monster sieve file for base 2 k<10000 sieved to P=100P (or some other huge sieve depth) by PrimeGrid.

2. I assume that you realize that these bases are at n=5.33M base 2. See base 2 k=5 at [URL]http://www.prothsearch.net/riesel.html[/URL]. Progress will be very slow.

3. Will you be searching all base 2 k=5 candidates for n>5.33M? If so, you might want to notify Primegrid or some other such "powers-that-be" if you haven't already done so.

I believe searching all base 2 candidates would be a lot more work than just bases 128 and 512. Base 128 would involve searching only base 2 n==(3 mod 7) [I think; you might check my math there.] and base 512 would involve searching only base 2 n==(0 mod 9).

[QUOTE=gd_barnes;279037]A couple of assumptions and a question:

1. I assume that you are talking about the monster sieve file for base 2 k<10000 sieved to P=100P (or some other huge sieve depth) by PrimeGrid.

2. I assume that you realize that these bases are at n=5.33M base 2. See base 2 k=5 at [URL]http://www.prothsearch.net/riesel.html[/URL]. Progress will be very slow.

3. Will you be searching all base 2 k=5 candidates for n>5.33M? If so, you might want to notify Primegrid or some other such "powers-that-be" if you haven't already done so.

I believe searching all base 2 candidates would be a lot more work than just bases 128 and 512. Base 128 would involve searching only base 2 n==(3 mod 7) [I think; you might check my math there.] and base 512 would involve searching only base 2 n==(0 mod 9).[/QUOTE]

1. I don't have the entire file, but John from PG will provide me with the list of n for k=5 that have not been sieved out.

2. Yes. I also have a list of n above 5.33M that have been tested, so I will not retest them.

3. No. PG is aware of what I am doing. I will provide them with residues when done. PG does not intend to take k=5 above 5M anytime soon, i.e. probably a couple of years away for them.

My final list is just over 1000 candidates to test between n=5.33M and n=6M. I want to got to n=6.3M, which would be n=900K for b=128 and n=700K for b=512. Going beyond 6M should wait for more sieving from PG, but since a number of tests above n=6M have been done (by ProthSearch users), that should only add a few hundred additional tests.

Done with R150 to n<=25K. 305 primes found, 122 [I]k[/I] remained. (I.e. there were more remaining [I]k[/I]'s at 2.5K, but less at 25K than those for S150.)
Results emailed. Base released.

Grueny,

Please provide us a status update on Riesel bases 214 and 253.


Thank you,
Gary

[QUOTE=gd_barnes;279597]Grueny,

Please provide us a status update on Riesel bases 214 and 253.


Thank you,
Gary[/QUOTE]

r214 tested to 200e3 ; no prime
continuing to 250e3

r253 tested to 146e3

grueny

S199
 

S199 tested n=25K-50K

8 primes found - 52 remain

9946*199^30796+1
4936*199^31670+1
1086*199^35926+1
4314*199^39083+1
10494*199^40493+1
3876*199^42360+1
9796*199^45112+1
12034*199^46633+1

Results emailed - Base released

Mathew has reported completion of R215 to n=25K. 215 k's were found prime for n=2.5K-25K; 328 k's remain. The base is released.

Reservaions
 

Reserving the following 1kers to n=200K

S208 S217 S220

Reservations
 

Reserving the following 1kers to n=200K

R213 R221 R236

I would like to reserve S115 to n=50K

S217
 

S217 tested n=100K-200K - Nothing found

Results emailed - Base released

Taking S182

S220
 

S220 tested n=100K-200K - Nothing found

Results emailed - Base released

S128 / S512 update
 

[QUOTE=rogue;278928]Taking these based upon the file I posted weeks ago.[/QUOTE]

I've done half of the tests in the range to n=6.3M. No luck (yet). At about 10 per day it gives me about 3 months of work left, unless I add more cores to it.

S247
 

Reserving S247 to n=25K

On recommended list

will take R207 from 2.5k to 5k


and please find here the abcd for R22 between 500k-600k (sieved up to 733e9;3656*22^n-1)

firejuggler,

Please refer to the reservation pages ([URL="http://www.noprimeleftbehind.net/crus/Riesel-conjecture-reserves.htm"]Riesel[/URL] [URL="http://www.noprimeleftbehind.net/crus/Sierp-conjecture-reserves.htm"]Sierpinski[/URL]) prior to sieving, this will save you a lot of duplicate work.

Puzzle-Peter has R22 reserved to 1M and the sieve file on the reservation page is sieved to 50T.

my bad, stopping the sieving now... I still intend to go with R207.

R207, 165 k found, 622 k remain, n=5096, will go to n=10k ( will eventually reach 25 k in time)

R213
 

R213 tested n=100K-200K - Nothing found

Results emailed - Base released