S591 & R723
 

Reserving S591 & R723 as new to n=25K

S836
 

S836 tested n=100K-200K - nothing found

Results emailed - Base released

Reserving R510 to n=100K.

Reserving R751 2.5k - 25k with available sieve-file from the link on this site: [url]http://www.noprimeleftbehind.net/crus/Riesel-conjecture-reserves.htm[/url]

Reserving R643, S534, and S573 to n=100K.

R536, R567, R641, R663, R678, R709, R722, R744, R748, R802, R848, R872, R894, R912, R932, R937, R957, R992, S529, S572, S617, S628, S837, S904, S908, and S962 are complete to n=50K; 36 primes were found for n=25K-50K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R536: 0 primes; 10 k's remaining
R567: 2 primes; 9 k's remaining
R641: 1 prime; 9 k's remaining
R663: 6 primes; 6 k's remaining
R678: 2 primes; 10 k's remaining
R709: 1 prime; 10 k's remaining
R722: 0 primes; 11 k's remaining
R744: 1 prime; 10 k's remaining
R748: 2 primes; 10 k's remaining
R802: 0 primes; 10 k's remaining
R848: 1 prime; 9 k's remaining
R872: 1 prime; 9 k's remaining
R894: 0 primes; 10 k's remaining
R912: 0 primes; 12 k's remaining
R932: 1 prime; 11 k's remaining
R937: 1 prime; 10 k's remaining
R957: 2 primes; 10 k's remaining
R992: 1 prime; 10 k's remaining
S529: 0 primes; 11 k's remaining
S572: 2 primes; 9 k's remaining
S617: 2 primes; 8 k's remaining
S628: 1 prime; 9 k's remaining
S837: 4 primes; 8 k's remaining
S904: 1 prime; 9 k's remaining
S908: 2 primes; 9 k's remaining
S962: 2 primes; 8 k's remaining
[/code]

primes:
[code]
1568*567^33108-1
988*567^47799-1
214*641^42969-1
366*663^25498-1
24*663^27791-1
114*663^28673-1
1126*663^33742-1
642*663^44098-1
662*663^47556-1
19*678^30245-1
6*678^40858-1
218*709^47512-1
242*744^35144-1
372*748^30803-1
705*748^45651-1
194*848^36212-1
91*872^26937-1
250*932^29891-1
434*937^31271-1
1294*957^27433-1
216*957^37882-1
123*992^33207-1
115*572^38628+1
92*572^41699+1
70*617^33760+1
414*617^46246+1
798*628^40367+1
22*837^26331+1
486*837^31555+1
482*837^33683+1
948*837^42490+1
331*904^32322+1
77*908^47301+1
71*908^49583+1
34*962^34834+1
8*962^47221+1
[/code]

All bases with <= 12 k's remaining are now tested to n>=50K with the exception of one 10k base that is reserved by someone else.

With help from Lennart, I have collected the n to be tested for R1024 for n up to 400000 (n=4000000 base 2). I'm too busy with R151 to spend time on it right now, but if someone else is interested, here you go. There are 4344 tests in this file. Presuming I've calculated correctly, there is a 50% chance that a prime will be found amongst these tests.

[QUOTE=rogue;330320]With help from Lennart, I have collected the n to be tested for R1024 for n up to 400000 (n=4000000 base 2). I'm too busy with R151 to spend time on it right now, but if someone else is interested, here you go. There are 4344 tests in this file. Presuming I've calculated correctly, there is a 50% chance that a prime will be found amongst these tests.[/QUOTE]

File needed. :smile:

[QUOTE=gd_barnes;330364]File needed. :smile:[/QUOTE]

I must have closed the upload window before uploading.

k=29 has already been completed to n=400K
[url]http://mersenneforum.org/showpost.php?p=327022&postcount=632[/url]
And k=37 now @ 229K (info from rieselprime.de).

[QUOTE=unconnected;330369]k=29 has already been completed to n=400K
[URL]http://mersenneforum.org/showpost.php?p=327022&postcount=632[/URL]
And k=37 now @ 229K (info from rieselprime.de).[/QUOTE]

The CRUS pages have k=29 at 339K and k=37 (74) at 240K. I generally try to update the various powers of bases 2 and 5 efforts (worked by other projects) about once every 3-6 months so it is slightly out of date. Rieselprime.org for k<300 is also out of date. Per 15k.org, k=29 is at 400K and k=37 (74) is at 230K base 1024. I'm not sure where I got that k=37 was at 240K.

So officially for our R1024 purposes:
k=29 is at n=400K
k=37 (74) is at n=230K

I have updated the CRUS pages to show the current search depth for R1024. I have also provided a link to the R1024 sieve file on the reservations page. I have sorted the file by n and removed all tests that have already been done base 2 so it should only have k=37 for n=230K-400K (base 1024) in it...a total of 2033 tests.

[QUOTE=rogue;330320]With help from Lennart, I have collected the n to be tested for R1024 for n up to 400000 (n=4000000 base 2). I'm too busy with R151 to spend time on it right now, but if someone else is interested, here you go. There are 4344 tests in this file. Presuming I've calculated correctly, there is a 50% chance that a prime will be found amongst these tests.[/QUOTE]

Sorry to burst your bubble here:

Assuming an average n-value in the file of n=3M base 2 and 4344 tests sieved to P=100P (100000T), the chance of prime was actually ~13-14%.

Now that we know that there are only 2033 pairs remaining to be tested in this range at an average n=~3.15M (k=37 for n=230K-400K base 1024), the actual chance of prime is ~6.3%.

[QUOTE=gd_barnes;330382]Sorry to burst your bubble here:

Assuming an average n-value in the file of n=3M base 2 and 4344 tests sieved to P=100P (100000T), the chance of prime was actually ~13-14%.

Now that we know that there are only 2033 pairs remaining to be tested in this range at an average n=~3.15M (k=37 for n=230K-400K base 1024), the actual chance of prime is ~6.3%.[/QUOTE]

Sorry, you're correct. For some reason I was thinking 1024=2^8 and 2^10 at the same time. With fewer pairs, it will take a lot less time for someone to test.

Reserving S530 and S578 to n=100K.

S784
 

S784 tested n=-100K-200K - nothing found

Results emailed - base released

R510 is complete to n=100K, 1 prime (48*510^77480-1).
Reserving R526, R530, R579, R601, R813, R814, R816, R873, R941, R942 to n=100K.

R665 & S707
 

Reserving R665 & S707 to n=200K

Reserving S710, S753, and S773 to n=100K.

R643, S530, S534, S573, S578, S710, S753, and S773 are complete to n=100K; 4 primes were found for n=50K-100K; # of k's remaining and primes shown below; all bases are released.

remaining:
[code]
R643: 0 primes; 3 k's remaining
S530: 1 prime; 2 k's remaining
S534: 1 prime; 2 k's remaining
S573: 0 primes; 3 k's remaining
S578: 0 primes; 4 k's remaining
S710: 0 primes; 4 k's remaining
S753: 1 prime; 2 k's remaining
S773: 1 prime; 5 k's remaining
[/code]

primes:
[code]
31*530^74898+1
24*534^72261+1
142*753^92369+1
34*773^70958+1
[/code]

S798
 

S798 tested n=100K-200K - nothing found

Results emailed - Base released

S516 &S582
 

Reserving S516 & S582 to n=200K

R526, R530, R579, R813, R814, R816, R873, R941, R942 are complete to n=100K.
Primes:[CODE]
142*813^50872-1
134*814^92080-1
214*816^51534-1[/CODE]

Taking R590, R727, R780, R783 to n=100K, R514 and R968 to n=200K.

R978 complete to n=100K.
No primes found! It had to occur sooner or later :down:
3k's remain.

Seeing as unconnected has taken the last of the Riesel 3k's, and is blasting through them a trillon times quicker than me, I'll start on the sierp 3k's.

Reserving S993 n=50K-100K.

S707
 

S707 tested n=100K-200K - nothing found

Results emailed - Base released

R897 & R918
 

Reserving R897 & R918 as new to n=25K

R665
 

R665 tested n=100K-200K - nothing found

Results emailed - Base released

S642 released due to inactivity and lack of response.

I'll take R533 from 100k to 200k

S591
 

Sierp Base = 591
Conjectured k = 16242
Covering Set = 7, 37, 109, 181
Trivial Factors = k == 1 mod 2(2) and k == 4 mod 5(5) and k == 58 mod 59(59)

Found Primes: 6431k's - File emailed

Remaining: 50k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1734k's

MOB Eliminations: 5k's - File emailed

Base Released

R751 - Update
 

I just want to let you know that I'm still working on R751 (keep alive message).
I had to slow things a bit down.
At the moment I am at n=4696 an found 159 primes (verified with pfgw and the -tc switch).

S582
 

S582 tested n=100K-200K - nothing found

Results emailed - base released

R568
 

Reserving R568 as new to n=25K

Mathew has completed R1023 to n=15K; 63 primes were found for n=10K-15K; 336 k's remain; he is continuing to n=25K.

2 nice primes in 10min with PRPNet :smile:
[2013-03-28 00:48:39 MSK] 194*727^76084-1: Prime
[2013-03-28 00:59:59 MSK] 48*727^76490-1: Prime

R727 is now 1k'er, going to n=100K.

S516
 

S516 tested n=100K-200K - nothing found

Results emailed - Base released

R832 & R836
 

Reserving R832 & R836 to n=200K

R723
 

Riesel Base = 723
Conjectured k = 12852
Covering Set = 5, 13, 181
Trivial Factors = k == 1 mod 2(2) and k == 1 mod 19(19)

Found Primes: 5958k's - File emailed

Remaining: 124k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 338k's

MOB Eliminations: 5k's - File emailed

Base Released

S724
 

S724 tested n=100K-200K - Nothing found (Sorry, I didn't reserve this one)

Results emailed - Base released
[COLOR=Red]
Reserving R724 R832 R836 to n=200K[/COLOR]

R568
 

Riesel Base = 568
Conjectured k = 19347
Covering Set = 5, 29, 569
Trivial Factors = k == 1 mod 3(3) and k == 1 mod 7(7)

Found Primes: 10898k's

Remaining: 146k's - Tested to n=25K

Trivial Factor Eliminations: 8290k's

MOB Eliminations: 11k's

Results e-mailed - Base Released

k's in balance @ 2.5K

R743 S743 S971
 

S971 reserved as new to n=25K

R743 S743 reserved n=100K-200K

one month update:
i'm almost done (less than 30 test left, each taking between 30 and 40 minutes)

done.
here is the sieve file and the output.

and a third post in a row for taking R638, from 50k to 100k.
I forgot to say that nothing were found in my R533 hunt.

Taking S720, R581, and R619 to n=200000.

Update R751
 

I found 200 primes (see attachemend) an finished up to n=5835.
I'll continue with this range.

R507 is complete to n=100000. Here are the found primes:

2974*507^30421-1
2404*507^32960-1
5616*507^33219-1
382*507^35153-1
6206*507^35737-1
11266*507^37654-1
380*507^39828-1
9096*507^41986-1
9686*507^42206-1
10016*507^44737-1
2918*507^45439-1
5276*507^46031-1
10386*507^50385-1
7904*507^51308-1
5884*507^64759-1
2808*507^71920-1
4634*507^80663-1
9276*507^95530-1
4124*507^98983-1

I've e-mailed the residues for the other k to Gary.

[QUOTE=Rincewind;337637]I found 200 primes (see attachemend) an finished up to n=5835.
I'll continue with this range.[/QUOTE]

Are you sure that you want to keep this reserved to n=25K? It took you 2 months to do n=2500-5800. At that rate, it would likely take you 1-2 years to get it to n=25K.

R968 is complete to n=250K
R514 is complete to n=200K
R601, R780, R783 are complete to n=100K
No primes except one for R783 that was previously reported.
Residues attached.

Reserving R883, R889 to n=100K.

[QUOTE=gd_barnes;338221]Are you sure that you want to keep this reserved to n=25K? It took you 2 months to do n=2500-5800. At that rate, it would likely take you 1-2 years to get it to n=25K.[/QUOTE]

I don't test 24/7. I'd like to keep this range, because there are plenty ranges and conjectures which are free to be reserved by other contributors and I don't see a reason why I should cancel this conjecture. I can cut the range down to a smaller n-value. If you think I should cancel the this range or reduce the n-value feel free to contact me.

[QUOTE=Rincewind;338420]I don't test 24/7. I'd like to keep this range, because there are plenty ranges and conjectures which are free to be reserved by other contributors and I don't see a reason why I should cancel this conjecture. I can cut the range down to a smaller n-value. If you think I should cancel the this range or reduce the n-value feel free to contact me.[/QUOTE]

No problem. I just wanted to make sure that you knew what you were up against.

That's nice from you, thank you.
So I'll keep the range and if someone really wants this range I'llmunreserve it.

R836
 

R836 tested n=100K-200K - nothing found

Results emailed - Base released

R590, R889 are complete to n=100K; R727 is completed to n=250K.
One prime except previously reported: 67*590^86975-1
Results attached.

R638 50k-100k done, no new prime

R581, R619, and S720 completed to n=200000 and released. Residues attached.

R897
 

Riesel Base = 897
Conjectured k = 19308
Covering Set = 5, 17, 449
Trivial Factors = k == 1 mod 2(2) and k == 1 mod 7(7)

Found Primes: 8185k's - File emailed

Remaining: 83k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1379k's

MOB Eliminations: 6k's - File emailed

Base Released

Various to n=200K
 

Reserving the following 1kers to n=200K.

R573 R582
S748 S875 S968

R832
 

R832 tested n=100K-200K - nothing found

Results emailed - base released

R743
 

R743 tested n=100K-200K - nothing found

Results emailed - base released

S743
 

S743 tested n=100K-200K - nothing found

Results emailed - base released

R1029
 

R1029 tested n=500k - 600k, no prime. Continuing...

S968
 

S968 tested n=100K-200K - Nothing found

Results emailed - base released

Mathew has completed R1023 to n=25K; 449 primes were found for n=2.5K-25K; 175 k's remain; the base is released.

S875
 

S875 tested n=100K-200K - nothing found

Results emailed - base released

R918
 

Riesel Base = 918
Conjectured k = 11946
Covering Set = 5, 13, 919
Trivial Factors = k == 1 mod 7(7) and k == 1 mod 131(131)

Found Primes: 10030k's - File emailed

Remaining: 123k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1784k's

MOB Eliminations: 7k's - File emailed

taking S642 to 10k

S642 brought to 10e3, 200k found, 404 left

R582
 

R582 tested n=100K-200K - nothing found

Results emailed - base released

Taking R693, currently at 5.6k :P
Update on (S331?), currently at 14.7k.
Both on different computers, the 331 was as of this morning.

R866
 

Watched these forums for a long time and finally decided its time to get involved with some of these conjectures.
I'll try taking R866 up to 200k

R573
 

R573 tested n=100K-200K - nothing found

Results emailed - base released

[COLOR=Red]Reserving R504, R505, R551, R563 to n=200K[/COLOR]

R866
 

Think I've had a large case of beginners luck!

8*866^108590-1 is prime.

Last k eliminated so R866 is now proven

nice job rob, one more bite the dust! and it make in the top 5000 largest primes. In the 3400-3500 top range.

[QUOTE]Think I've had a large case of beginners luck!

8*866^108590-1 is prime.

Last k eliminated so R866 is now proven [/QUOTE]
Beginners luck or not, it's nice to eliminate another pesky 1ker.:banana:
It is also eligible for the Top5000 list.

[QUOTE=rob147147;345678]Think I've had a large case of beginners luck!

8*866^108590-1 is prime.

Last k eliminated so R866 is now proven[/QUOTE]

Congrats on your first top 5000 prime! :smile:

Request: Can you Email Chris Caldwell at [EMAIL="caldwell@utm.edu"]caldwell@utm.edu[/EMAIL] and ask him to add the project CRUS to your proof code? Thanks.


Gary

Ah gary, it's been a while. I guess you've been cery busy in the lasts weeks.I hope that the worload will lessen soon, but not totally dissapear.

[QUOTE=MyDogBuster;345333]R573 tested n=100K-200K - nothing found

Results emailed - base released

[COLOR=red]Reserving R504, R505, R551, R563 to n=200K[/COLOR][/QUOTE]

I didn't get the results on this one. Can you resend? Thanks.

Edit: Resent results

R751
 

Hi,

I have to go on a longer trip (for my job) so I can't continue R751 in the next months.
I release the range. Here are the primes I found (I already posted the first 200)

[code]
76092*751^5718-1 <-- last prime from my former post
25580*751^5880-1
64802*751^5908-1
25862*751^6029-1
48554*751^6031-1
66624*751^6061-1
66314*751^6089-1
71768*751^6122-1
28674*751^6145-1
35984*751^6146-1
67848*751^6159-1
62448*751^6164-1
16110*751^6177-1
68550*751^6197-1
5114*751^6221-1
73284*751^6250-1
57002*751^6316-1
33698*751^6364-1
16542*751^6395-1
26808*751^6547-1
5744*751^6659-1
30710*751^6670-1
51150*751^6674-1
68744*751^6735-1
54560*751^6738-1
42254*751^6747-1
17502*751^6759-1
18360*751^6826-1
65748*751^6834-1
36164*751^6889-1
61910*751^6904-1
72158*751^6972-1
56610*751^7012-1
78140*751^7027-1
24770*751^7037-1
70808*751^7234-1
50948*751^7282-1
66248*751^7394-1
42522*751^7406-1
29000*751^7407-1
24560*751^7499-1
18272*751^7621-1
22104*751^7643-1
69608*751^7669-1
16178*751^7691-1
23004*751^7698-1
25518*751^7730-1
59000*751^7778-1
82202*751^7780-1
51602*751^7818-1
5592*751^7892-1
39912*751^7957-1
43488*751^7959-1
53910*751^7975-1
27858*751^7998-1
83262*751^8018-1
40704*751^8048-1
[/code]

I finished up to n=8073

Ok, i'll *finish* R751 upto 10k.
I find 532 sequences left. Are we in agreement Gary?

[QUOTE=firejuggler;345861]Ok, i'll *finish* R751 upto 10k.
I find 532 sequences left. Are we in agreement Gary?[/QUOTE]

Yep. We are in agreement. I have now updated the pages for the new status including a link to an updated sieve file with all the primed k's removed.

R751 done to 10 000, 42 more k found, 490 left.

R504
 

R504 tested n=100K-200K - nothing found

Results emailed - base released

*plonk* just a reminder for Gary, R751 update earlier

I won't be doing updates until next weekend.

R505
 

R505 tested n-100K-200K - nothing found

Results emailed - base released

Taking S627 to 25k.

Take S803, S816, S844, S850, S853, S930, S953, and S1004 to n=200000. They need more sieving, so I pulled eight cores off of S6 to focus on that. Hopefully they won't need too much extra sieving.

R551
 

R551 tested n=100K-200K - Nothing found

Results emailed - Base released

R883 completed to n=250K and now 1k'er
Primes:
222*883^63471-1
224*883^72180-1
188*883^88589-1

Results attached.

S971
 

Sierp Base = 971
Conjectured k = 14876
Covering Set = 3, 7, 13, 78
Trivial Factors = k == 1 mod 2(2) and k == 4 mod 5(5) and k == 96 mod 97(97)

Found Primes: 5439k's

Remaining: 444k's - Tested to n=25K

Trivial Factor Eliminations: 1550k's

MOB Eliminations: 4k's

Results emailed - Base Released

Since my range of S6 will be done by Friday (with no primes :sad:), I will take S701, S702, S706, S736, S737, S740, S778, and S780. With the 20 single k bases I have reserved, I should find a few primes.

I will take S683, R611, R622, R688, R782, R833 to 200k.

[QUOTE=Batalov;350209]I will take S683, R611, R622, R688, R782, R833 to 200k.[/QUOTE]
Done with S683, R611, R622, R688, R782, R833. Results are in the mail.

Taking S574, S649, R773, R790, R850 to 200k.

Taking R580 to n=200K

Taking S643 to n=200K