S720 is complete to n=100K; 1 prime was found for n=50K-100K shown below; S720 is now a 1ker :smile:; base released.

Prime:
90*720^99529+1

This was a rather remarkable feat. 2 bases in a row that I've tested for n=50K-100K...2 top-5000 primes at n>95K that made both of the bases 1 kers! This last one came with only 34 tests remaining in a 3525 line sieve file. :george:

S748 is complete to n=100K; 1 prime was found for n=50K-100K shown below; S748 is now a 1ker :smile:; base released.

Prime:
27*748^88373+1

Missed a top-5000 prime by < 30 digits. :no:

This is the 4th consecutive 2k base that I've worked on that has found exactly 1 prime for n=50K-100K leaving 1k bases in all 4 cases.

R789
 

R789 tested n=25k-100K

74*789^80808-1 is prime

4k's remaining

Results emailed - Base released

[COLOR=Red]Reserving S872 to n=100K[/COLOR]

S805 is complete to n=100K; no primes found for n=50K-100K; 2 k's still remain; base released.

S859 is complete to n=100K; no primes found for n=50K-100K; 2 k's still remain; base released.

All 2k bases are now tested to n>=100K. :smile:

I'd like to run S720 for 100-150K.

S872
 

S872 tested n=25K-100K

Primes found:
13*872^38782+1
26*872^45765+1

4k's remaining

Results emailed - Base released

[COLOR=Red]Reserving R653 to n=100K[/COLOR]

S991 - Chucking it in
 

I probably shouldn't have started with such a large effort there. I have about 150-160 results, but due to the lack of time that I have had to run PFGW, I haven't been able to accomplish much. I think I'll work on some smaller efforts here - sorry about that.

Results attached.

Sorry for double post - reserving R894 - note that I am only taking k = 6. Will go as far as to prove it hopefully.

Why don't you just continue with S991 and take it to n=50000? We're in no hurry.

In 15 days, I got 160 work units done. There were about 4,000 workunits in the initial batch - at that rate, I'd be done in a year. 25,000 to 50,000 would take about 4 years and two months.

That kind of timeframe is overdoing it for the first reservation I ever make. At the current rate i'm rolling now, I'll be at n=30k for k=6 in the next hour - n=100k in about 12 hours of wall clock time. That's a lot more achievable - I could do that this weekend.

[QUOTE=f1pokerspeed;311760]Sorry for double post - reserving R894 - note that I am only taking k = 6. Will go as far as to prove it hopefully.[/QUOTE]

Be sure and use the sieve file link on the Riesel reservations page. It is sieved for n=25K-100K to P=1T. You can quickly use the srfile program to remove all k's that are not = 6. Note that there are "only" 1074 tests for k=6 for this n-range and sieve depth. On a base of this size sieved that far for just one k, that gives you only about a 13-14% chance of finding a prime by n=100K. Therefore even testing all the way to n=100K where the tests can push a half hour each, the chances are small that you will find a prime.

Just figured I'd give you a heads up on the amount of CPU effort required on large bases here at CRUS.

[QUOTE=f1pokerspeed;311769]In 15 days, I got 160 work units done. There were about 4,000 workunits in the initial batch - at that rate, I'd be done in a year. 25,000 to 50,000 would take about 4 years and two months.

That kind of timeframe is overdoing it for the first reservation I ever make. At the current rate i'm rolling now, I'll be at n=30k for k=6 in the next hour - n=100k in about 12 hours of wall clock time. That's a lot more achievable - I could do that this weekend.[/QUOTE]

How many cores do you have? You might want to recheck those calculations for CPU time needed on k=6 for R894. See my previous post.

I have a quad-core laptop and a dual-core desktop. The laptop has AVX, but as a consequence of that it runs out of battery quickly.

I thought that a prime before n=100k might be possible

(NB: I extrapolated on the total testing time for a single core - oh well, it may be a couple of days then. Time to fire up the desktop...

[QUOTE=f1pokerspeed;311832]I have a quad-core laptop and a dual-core desktop. The laptop has AVX, but as a consequence of that it runs out of battery quickly.

I thought that a prime before n=100k might be possible

(NB: I extrapolated on the total testing time for a single core - oh well, it may be a couple of days then. Time to fire up the desktop...[/QUOTE]

I would suggest leaving the laptop plugged into an outlet and removing the battery. Then you have no worries about battery life. Also, the heat generated by the testing lowers the life of the battery quite a bit.

My estimate for k=6 n=25K-100K was around 15 CPU days. So yeah, 2-3 days if running 6 cores 24x7.

Reserving S640 (new, ck = 11925) to n=25k.
Reserving S642 (new, ck = 10932) to n=25k.

R653
 

R653 tested n=25K-100K - nothing found

6k's remain - Results emailed

S943
 

Reserving S943 as new to n=25K

R1027 is complete to n=25K.

122 primes found. Results have been emailed.

About R1024 - I'm working on k=29 in RPS project, it's done to n=3.3M with no primes.

R619 is done to 160K and released. Sieve to 250K is available. All emailed.

I will run R581 for 100-150K.

Taking S800, R800, R888, R900 to n=250K.

S640 complete to n = 25k. Files emailed. Base released.

Taking R1030.

Reserving S781 and S941 to n=200K.

Reserving R737 n=50K-100K. Using provided sieve file (thank you whoever did it :smile: ). Looking likely to take about 160 hours, ~2 weeks all being well.

ha, 2 weeks indeed.
R737 complete to n=100K.
26*737^62278-1 is prime.
2ks remain.

Reserving R803 n=50K-100K.

S943
 

Sierp Base = 943
Conjectured k = 15636
Covering Set = 5, 7, 13, 19, 59
Trivial Factors = k == 1 mod 2(2) and k == 2 mod 3(3) and k == 156 mod 157(157)

Found Primes: 5078k's - File emailed

Remaining: 98k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2639k's

MOB Eliminations: 2k's - File emailed

Base Released

Currently tentatively started base R955....
wich file correspond to what?
pl_mob?
pl_remain ( I suppose its the k where no factor were found)
pl_trivial ( I suppose the list of prime found whith a low n?)
currently at k=19764

[QUOTE=firejuggler;318664]Currently tentatively started base R955....
wich file correspond to what?
pl_mob?
pl_remain ( I suppose its the k where no factor were found)
pl_trivial ( I suppose the list of prime found whith a low n?)
currently at k=19764[/QUOTE]

pl_mob are for k that are multiples of b.
pl_remain are k that have no primes for n <= the limit specified in the script
pl_trivial are k for with k*b^n+1 are trivially prime.

[QUOTE=rogue;318665]pl_mob are for k that are multiples of b.
pl_remain are k that have no primes for n <= the limit specified in the script
pl_trivial are k for with k*b^n+1 are trivially prime.[/QUOTE]

Correction and clarification on the last one:

pl_trivial are k with a single trivial prime factor for all n. There are no primes and they are not included in the conjecture.

All that I need for tests n<=25K are the pl_prime and pl_remain files.

Good luck. This base will take a very long time.

R576
 

Reserving R576 as new to n=25K

S998
 

Reserving S998 to 200K

Just getting this base off 188K and to a normal level.

The ten 5k bases that are only searched to n=25K are among the lowest "difficulty" bases right now. I'll search them all to n=50K:

Reserving R589, R590, R602, R633, R667, R686, R716, R720, S504, and S678 to n=50K.

Serge has completed S720 to n=175K; no primes were found for n=100K-175K; the base is released.

S781
 

S781 tested 100K-200K - nothing found

Results emailed - Base released

S598 & S957
 

S598 & S957 reserved as new to n=25K

I'm nearly done with the recent 5k bases reservation. Now the nine 6k bases that are only searched to n=25K are among the lowest "difficulty" bases. Combined with my bases 251-500 reservation, I'll search them all to n=50K:

Reserving R778, S558, S564, S602, and S654 to n=50K.

R955,
n upto 2500, k upto 50k, 433 k left. see attached file for primes and remaining bases

R589, R590, R602, R633, R667, R686, R716, R720, S504, and S678 are complete to n=50K; 9 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released except R667.

remaining:
R589: 0 primes; 5 k's remaining
R590: 1 prime; 4 k's remaining
R602: 2 primes; 3 k's remaining
R633: 0 primes; 5 k's remaining
R667: 3 primes; 2 k's remaining
R686: 1 prime; 4 k's remaining
R716: 0 primes; 5 k's remaining
R720: 0 primes; 5 k's remaining
S504: 0 primes; 5 k's remaining
S678: 2 primes; 3 k's remaining

primes:
38*590^43480-1
12*602^36517-1
67*602^41049-1
458*667^25155-1
632*667^28650-1
258*667^37866-1
104*686^29844-1
188*678^25679+1
122*678^45968+1

All bases with <= 5 k's remaining are now tested to n>=50K.

Extending reservation on R667 to n=100K.

I'm now working on all of the 6kers that are at n=25K.

S501 & S731
 

S501 & S731 reserved 100K-200K

[QUOTE=f1pokerspeed;311760]Sorry for double post - reserving R894 - note that I am only taking k = 6. Will go as far as to prove it hopefully.[/QUOTE]

Handing this back - unreserved. Sorry about that, but my machines are just too slow for these high bases. I also haven't been able to find much time to do all of the work and sort all of the results files sorted, on multiple cores, etc. etc. I might go for something different, either a different project or a much smaller target that could be done in a few hours to a day or something like that.

[QUOTE=f1pokerspeed;319495]Handing this back - unreserved. Sorry about that, but my machines are just too slow for these high bases. I also haven't been able to find much time to do all of the work and sort all of the results files sorted, on multiple cores, etc. etc. I might go for something different, either a different project or a much smaller target that could be done in a few hours to a day or something like that.[/QUOTE]

What you choose to do depends upon how much involvement you want and what you want to accomplish. If you don't have the time to babysit and want smaller work units, then I suggest the CRUS PRPNet project. If you want even smaller workunits, then I suggest PrimeGrid's PPSelow project.

R803 complete to n=100K
64*803^98003-1 is prime, submitted to prime pages.
2ks remain.

Reserving R602 n=50K-100K.

[QUOTE=G30ffr3y;319532]R803 complete to n=100K
64*803^98003-1 is prime, submitted to prime pages.
2ks remain.[/QUOTE]

Nice prime G30ffr3y! :smile:

R778, S558, S564, S602, and S654 are complete to n=50K; 6 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
R778: 1 prime; 5 k's remaining
S558: 2 primes; 4 k's remaining
S564: 2 primes; 4 k's remaining
S602: 1 prime; 5 k's remaining
S654: 0 primes; 6 k's remaining

primes:
534*778^37871-1
174*558^28067+1
224*558^34435+1
109*564^30771+1
107*564^42025+1
27*602^29560+1

All bases with <= 6 k's remaining are now tested to n>=50K.

R667 is complete to n=100K; no primes found for n=50K-100K; 2 k's still remain; base released.

Taking S771

S751
 

S751 tested 2.5K-25K

173 primes found

169k's remain

Results emailed - Base released

Was on recommended list

[QUOTE=rogue;320323]Taking S771[/QUOTE]

When you reserve a base, can you please specify how far you plan to search it? Thanks.

n=25000

R602 complete to n=100K
14*602^53392-1 is Prime.
2k's remain.

Reserving R534 n=50K-100K.

[QUOTE]14*602^53392-1 is Prime.
2k's remain.
[/QUOTE]

2kers are good - nice job:max:

R679 & R695
 

Reserving R679 & R695 to 200K - both 1kers

S998
 

S998 tested n=188K-200K - nothing found

Results emailed - base released

R581 tested n=100K-175K - nothing found

Results emailed - base released

R576
 

Riesel Base = 576
Conjectured k = 17798
Covering Set = 7, 13, 73, 79
Trivial Factors = k == 1 mod 5(5) and k == 1 mod 23(23)

Found Primes: 13427k's - File emailed

Remaining: 115k's - Tested to n=2.5K - File emailed

Trivial Factor Eliminations: 4178k's

MOB 13k's - File emailed

63k's proven composite by full algebraic factors - File emailed

Base Released

S935 & S939
 

Reserving S935 & S939 to n=200K - both 1ker's

R1025 tested to n=800k, nothing. Going on...

[QUOTE=Puzzle-Peter;321919]R1025 tested to n=800k, nothing. Going on...[/QUOTE]

At more than 24 hours per test, your stamina and patience on this is impressive! :smile:

[QUOTE=gd_barnes;321964]At more than 24 hours per test, your stamina and patience on this is impressive! :smile:[/QUOTE]

The sieve file ends at n=1M. That's where I'll give up.

R1030 completed to n=25000 and released. 95 primes found:

[code]
593*1030^11818-1
857*1030^17940-1
1418*1030^11716-1
1673*1030^11864-1
2061*1030^11906-1
2063*1030^17997-1
2510*1030^14348-1
2804*1030^14783-1
3519*1030^22586-1
4182*1030^10233-1
4371*1030^14700-1
4559*1030^13547-1
4839*1030^12229-1
4884*1030^18677-1
5144*1030^10053-1
7154*1030^23489-1
7542*1030^11398-1
7839*1030^11605-1
8615*1030^12434-1
9911*1030^16196-1
10248*1030^24832-1
10601*1030^12137-1
12782*1030^21529-1
12962*1030^11482-1
13289*1030^11071-1
13313*1030^11123-1
13956*1030^10407-1
14238*1030^12981-1
15054*1030^13731-1
15636*1030^18874-1
15720*1030^11592-1
15983*1030^15399-1
16175*1030^21315-1
16518*1030^12014-1
16701*1030^10914-1
16748*1030^13489-1
16799*1030^13710-1
17657*1030^15588-1
18000*1030^15125-1
18795*1030^11245-1
19463*1030^11590-1
19631*1030^21454-1
20270*1030^15885-1
21650*1030^11448-1
21905*1030^20306-1
21984*1030^14210-1
22280*1030^16727-1
22512*1030^10379-1
22530*1030^21779-1
25944*1030^18017-1
26271*1030^10881-1
26417*1030^13889-1
27257*1030^18960-1
27444*1030^23680-1
27713*1030^13428-1
28622*1030^15611-1
28733*1030^21175-1
29189*1030^19788-1
29708*1030^11853-1
31016*1030^10481-1
31047*1030^14160-1
31608*1030^10271-1
31965*1030^20348-1
32457*1030^10065-1
32787*1030^12170-1
33435*1030^14476-1
33437*1030^17798-1
36266*1030^12624-1
36272*1030^15816-1
36785*1030^10704-1
37845*1030^11496-1
38664*1030^10551-1
38688*1030^17259-1
39221*1030^11011-1
39638*1030^16742-1
40367*1030^10483-1
40662*1030^11900-1
42129*1030^20943-1
42783*1030^11768-1
44100*1030^21889-1
44162*1030^24560-1
44547*1030^12053-1
45174*1030^18862-1
45761*1030^19451-1
47969*1030^23175-1
48270*1030^12619-1
49431*1030^21375-1
50271*1030^15407-1
50442*1030^11036-1
50469*1030^16953-1
51431*1030^11734-1
51515*1030^22823-1
53427*1030^22784-1
53447*1030^18148-1
53756*1030^14593-1
[/code]

R695
 

R695 tested n=100K-200K - Nothing found

Results emailed - Base released

This pattern has got to stop at some point, surely :smile: ...

R534 complete to n=100K.
11*534^80327-1 is Prime.
2k's remain.

Reserving R828 n=50K-100K.

Taking R507 to n=100000.

S800, R800, R888, R900 are all completed to n=250K.
2 primes were previously reported. Residues attached.

[QUOTE=rogue;322251]Taking R507 to n=100000.[/QUOTE]

I thought I better check: Do you mean R507 or possibly S507? R507 has 44 k's remaining at n=25K with no available sieve file, which would be a lot of work. S507 has 4 k's remaining at n=50K with a sieve file.

[QUOTE=gd_barnes;322319]I thought I better check: Do you mean R507 or possibly S507? R507 has 44 k's remaining at n=25K with no available sieve file, which would be a lot of work. S507 has 4 k's remaining at n=50K with a sieve file.[/QUOTE]

R507, the one with more k, because someone tested a single k to n=56000.

Reserving R501, R520, R550, R677, R766, R767, R798, S518, S578, S680, S792, and S942 to n=50K.

R679
 

R679 tested n=100K-200K - Nothing found

Results emailed - Base released

S957
 

Sierp Base = 957
Conjectured k = 19638
Covering Set = 5, 13, 479
Trivial Factors = k == 1 mod 2(2) and k == 238 mod 239(239)

Found Primes: 9571k's - File emailed

Remaining: 200k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 41k's

MOB Eliminations: 6k's - File emailed

Base Released

R501, R520, R550, R677, R766, R767, R798, S518, S578, S680, S792, and S942 are complete to n=50K; 15 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R501: 1 prime; 6 k's remaining
R520: 1 prime; 6 k's remaining
R550: 0 primes; 7 k's remaining
R677: 2 primes; 5 k's remaining
R766: 1 prime; 6 k's remaining
R767: 0 primes; 7 k's remaining
R798: 1 prime; 6 k's remaining
S518: 2 primes; 5 k's remaining
S578: 3 primes; 4 k's remaining
S680: 0 primes; 7 k's remaining
S792: 1 prime; 6 k's remaining
S942: 3 primes; 4 k's remaining
[/code]

primes:
[code]
814*501^36926-1
179*520^26432-1
84*677^36944-1
38*677^40390-1
872*766^33605-1
317*798^37478-1
52*518^28950+1
16*518^41876+1
52*578^39982+1
61*578^40892+1
2*578^44165+1
243*792^38377+1
166*942^25140+1
37*942^25835+1
202*942^28850+1
[/code]

All bases with <= 7 k's remaining are now tested to n>=50K.

Reserving R532, R984, S536, S553, S577, S603, S762, S926, S978, and S994 to n=50K.

S917 & S983
 

Reserving S917 & S983 to n=200K

I would like to reserve R1023 to n=25K

Reserving R549, R867, S638, S785, and S866 to n=200K.

R532, R984, S536, S553, S577, S603, S762, S926, S978, and S994 are complete to n=50K; 18 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R532: 4 primes; 4 k's remaining
R984: 1 prime; 7 k's remaining
S536: 4 primes; 4 k's remaining
S553: 2 primes; 6 k's remaining
S577: 1 prime; 7 k's remaining
S603: 1 prime; 7 k's remaining
S762: 0 primes; 8 k's remaining
S926: 2 primes; 6 k's remaining
S978: 2 primes; 6 k's remaining
S994: 1 prime; 7 k's remaining
[/code]


primes:
[code]
329*532^31767-1
38*532^39410-1
261*532^40095-1
245*532^49578-1
81*984^33591-1
145*536^26684+1
77*536^35657+1
26*536^36623+1
32*536^44419+1
1498*553^32100+1
984*553^36330+1
156*577^26837+1
1608*603^42670+1
52*926^29706+1
5*926^40035+1
34*978^29366+1
153*978^41023+1
19*994^46333+1
[/code]


All bases with <= 8 k's remaining are now tested to n>=50K.

R549, R867, S638, S785, and S866 are complete to n=200K, no primes were found for n=100K-200K, 1k remains on all bases, the bases are released.

Reserving R662 to n=200K.

Reserving R600 to n=10K.

S598
 

Sierp Base = 598
Conjectured k = 18568
Covering Set = 5, 37, 599
Trivial Factors = k == 2 mod 3(3) and k == 198 mod 199(199)

Found Primes: 12150k's - File emailed

Remaining: 150k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 6251k's

MOB Eliminations: 14k's - File emailed

GFN Eliminations: 1k
598

Base Released

S784 & S836
 

Reserving S784 & S836 to n=200K

Reserving R518, R648, R770, S514, S613, S648, and S656 to n=50K.

S935
 

S935 tested n=100K-200K - nothing found

Results emailed - Base released

R662 is complete to n=200K; no primes were found for n=100K-200K; 1k still remains; base released.

S983
 

S983 tested n=100K-200K - nothing found

Results emailed - Base released

[QUOTE=MyDogBuster;325257]S983 tested n=100K-200K - nothing found

Results emailed - Base released[/QUOTE]

Bad sieve file. See Email.

S917
 

S917 tested n=100K-200K - nothing found

Results emailed - Base released

Reserving R920, R926, R962, R994, R1009, S920, and S977 to n=50K.

R518, R648, R770, S514, S613, S648, and S656 are complete to n=50K; 11 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R518: 2 primes; 7 k's remaining
R648: 2 primes; 7 k's remaining
R770: 1 prime; 8 k's remaining
S514: 1 prime; 8 k's remaining
S613: 2 primes; 7 k's remaining
S648: 1 prime; 8 k's remaining
S656: 2 primes; 7 k's remaining[/code]


primes:
[code]
118*518^33501-1
97*518^45151-1
100*648^25665-1
82*648^32667-1
199*770^48507-1
249*514^29583+1
1006*613^27959+1
916*613^29363+1
34*648^43670+1
72*656^31813+1
73*656^38942+1[/code]

R920, R926, R962, R994, R1009, S920, and S977 are complete to n=50K; 12 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R920: 3 primes; 6 k's remaining
R926: 0 primes; 9 k's remaining
R962: 3 primes; 6 k's remaining
R994: 3 primes; 6 k's remaining
R1009: 2 primes; 7 k's remaining
S920: 1 prime; 8 k's remaining
S977: 0 primes; 9 k's remaining[/code]


primes:
[code]
98*920^28244-1
46*920^33853-1
86*920^45938-1
8*962^31840-1
43*962^32367-1
44*962^47400-1
86*994^33579-1
174*994^38976-1
329*994^42108-1
1292*1009^28491-1
1112*1009^43447-1
79*920^43780+1
[/code]
All bases with <= 9 k's remaining are now tested to n>=50K.

S771 tested to n=25000 and released. 655 primes found and released.

S798 & S934
 

Reserving S798 & S934 to n=200K

S983
 

S983 re-tested n=100K=-200K - nothing found

Results emailed - Base released

R828 complete to n=100K.
74*828^76296-1 is Prime.
2k's remain.

Reserving R978 n=50K-100K.

Reserving all of the 10, 11, & 12kers to n=50K as follows:

[code]
R536 S529
R567 S572
R641 S617
R663 S628
R678 S837
R709 S904
R722 S908
R744 S962
R748
R802
R848
R872
R894
R912
R932
R937
R957
R992
[/code]

This should keep my machines busy for a while.

R1029 tested n=400k - 500k, no prime. Continuing...