R655
 

Riesel Base 655
Conjectured k = 3294
Covering Set = 7, 37, 79
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 109(109)

Found Primes: 1066k's - File emailed

Remaining: 20k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 559k's

MOB Eliminations: 1k - File emailed
1310

Base Released

Reservations
 

Reserving as new S897 & S952 to n=25K

Reserving R991 to n=25K.

R687
 

Riesel Base 687
Conjectured k = 4686
Covering Set = 5, 43, 109
Trivial Factors k == 1 mod 2(2) and k== 1 mod 7(7)

Found Primes: 1978k's - File emailed

Remaining: 27k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 335k's

MOB Eliminations: 2k's - File emailed

Base Released

Taking S588, which has 1 k remaining

Taking S802, also with 1 k remaining.

S682
 

Sierp Base 682
Conjectured k = 6831
Covering Set = 5, 61, 683
Trivial Factors k == 2 mod 3(3) and k == 226 mod 227(227)

Found Primes: 4463k's - File emailed

Remaining: 64k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2297k's

MOB Eliminations: 4k's - File emailed

GFN: 1k - File emailed
682

Base Released

Taking R636 with 1 k remaining.

S655
 

Sierp Base 655
Conjectured k = 6930
Covering Set = 13, 29, 41
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 108 mod 109(109)

Found Primes: 2242k's - File emailed

Remaining: 46k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1176k's

Base Released

I would like to reserve R746 to n=50K

S502
 

Sierp Base 502
Conjectured k = 8832
Covering Set = 5, 7, 13, 61, 73
Trivial Factors k == 2 mod 3(3) and k == 166 mod 167(167)

Found Primes: 5712k's - File emailed

Remaining: 130k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2979k's

MOB Eliminations: 8k's - File emailed

GFN: 1k - File emailed
502

Base Released

S897
 

Sierp Base 897
Conjectured k = 7634
Covering Set = 5, 17, 449
Trivial Factors k == 1 mod 2(2) and k == 6 mod 7(7)

Found Primes: 3242ks - File emailed

Remaining: 27k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 545k's

MOB Eliminations: 2k's - File emailed

Base Released

S795
 

Sierp Base 795
Conjectured k = 6566
Covering Set = 19, 29, 199
Trivial Factors k == 1 mod 2(2) and k == 396 mod 397(397)

Found Primes: 3233k's - File emailed

Remaining: 39k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 8k's

MOB Eliminations: 2k's - File emailed

Base Released

Reservations
 

Reserving R711 & R795 as new to n=25K

S841 is complete to n=25K; 26 k's found prime for n=5K-25K; 33 k's remaining; base released.

R746 is complete to n=50K

1 prime found:

20*746^38608-1

I am releasing the base

Attached are the results.

I would like to reserve S740 to n=50K

R502
 

Riesel Base 502
Conjectured k = 7136
Covering Set = 5, 7, 13, 31, 61
Trivial Factors k == 1 mod 3(3) and k == 1 mod 167(167)

Found Primes: 4622k's - File emailed

Remaining: 101k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2406k's

MOB Eliminations: 5k's - File emailed

Base Released

S862
 

Sierp Base 862
Conjectured k = 6757
Covering Set = 9, 31, 421
Trivial Factors k == 2 mod 3(3) and k == 6 mod 7(7) and k == 140 mod 141(141)

Found Primes: 3700k's - File emailed

Remaining: 62k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 2990k's

MOB Eliminations: 2k's - File emailed

GFN: 1k - File emailed
862

Base Released

Reservations
 

Reserving the following 1kers to n=200K

R548 R662 R812
S626 S758 S828

[QUOTE=Mathew Steine;259591]R746 is complete to n=50K

1 prime found:

20*746^38608-1

I am releasing the base

Attached are the results.

I would like to reserve S740 to n=50K[/QUOTE]

Ian,

If you are so inclined, R746 is now another 2ker that needs to be taken to n=100K. Details will be available when the pages are back up, which could be late Sat. There is a sieve file on the reservations page for n=50K-100K.


Gary

I'm listening to a song called "Episode 666" plus I realize R666 is a 1-ker waiting to get proven. So It' reserved now. :smile:

Reserving R1003 to n=100k

Reserving R980 and R987 to n=100k

S840
 

Sierp Base 840
Conjectured k = 9076
Covering Set = 37, 61, 313
Trivial Factors k == 838 mod 839(839)

Found Primes: 8982k's - File emailed

Remaining: 77k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 10k's

MOB Eliminations: 4k's - File emailed

GFN's: 1k - File emailed
840

Base Released

Reservations
 

Reserving R843 & R852 as new to n=25K

S952
 

Sierp Base 952
Conjectured k = 5503
Covering Set = 5, 13, 37, 41, 43
Trivial Factors k == 2 mod 3(3) and k == 316 mod 317(317)

Found Primes: 3607k's - File emailed

Remaining: 46k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1846k's

MOB Eliminations: 1k - File emailed
3808

GFN: 1k - File emailed
952

Base Released

S740 is complete to n=50K

1 prime found

11*740^33519+1

Attached are the results.

I would like to reserve S993 to n=50K

[QUOTE=gd_barnes;259962]Ian,

If you are so inclined, R746 is now another 2ker that needs to be taken to n=100K. Details will be available when the pages are back up, which could be late Sat. There is a sieve file on the reservations page for n=50K-100K.


Gary[/QUOTE]

[QUOTE=Mathew Steine;260422]S740 is complete to n=50K

1 prime found

11*740^33519+1

Attached are the results.

I would like to reserve S993 to n=50K[/QUOTE]

OK, Ian, the pages are now viewable and so R746 is ready for you with a link to a sieve file. S740 is also ready with a sieve file.

Both are 2kers at n=50K. :smile:

R746 S740
 

[QUOTE]OK, Ian, the pages are now viewable and so R746 is ready for you with a link to a sieve file. S740 is also ready with a sieve file.

Both are 2kers at n=50K. :smile:[/QUOTE]

Okay, Ya talked me into them. LOL:censored:

R650
 

R650 tested n=100K-200K - Nothing found

Results emailed - Base released

R711
 

Riesel Base 711
Conjectured k = 4540
Covering Set = 7, 13, 19, 89
Trivial Factors k == 1 mod 2(2) and k == 1 mod 5(5) and k == 1 mod 71(71)

Found Primes: 1757k's - File emailed

Remaining: 31k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 480

MOB Eliminations: 1k - File emailed
1422

Base Released

S633 R823
 

Reserving S633 & R823 as new to n=25K

R522
 

Reserving R522 as new to n=25K

Another conjecture bites the dust!

[URL="http://primes.utm.edu/primes/page.php?id=100010"]10*802^149319+1[/URL]

This was a relatively light weight conjecture. At the moment it will be #190 on the Top 5000. What's even cooler is that it was found by phrot (on MacPPC) and verified by pfgw (on MacIntel).

[QUOTE=rogue;260729]Another conjecture bites the dust!

[URL="http://primes.utm.edu/primes/page.php?id=100010"]10*802^149319+1[/URL]

This was a relatively light weight conjecture. At the moment it will be #190 on the Top 5000. What's even cooler is that it was found by phrot (on MacPPC) and verified by pfgw (on MacIntel).[/QUOTE]

Very cool. Congrats Mark.

S797
 

S797 tested n=100K-200K - Nothing found

Results emailed - Base released

R795
 

Riesel Base 795
Conjectured k = 5770
Covering Set = 29, 199, 641
Trivial Factors k == 1 mod 2(2) and k == 1 mod 397(397)

Found Primes: 2836k's - File emailed

Remaining: 38k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 7k's

MOB Eliminations: 3k's - File emailed

Base Released

S914
 

S914 tested n=100K-200K - Nothing found

Results emailed - Base released

R843
 

Riesel Base 843
Conjectured k = 8652
Covering Set = 5, 13, 19, 37, 211
Trivial Factors k == 1 mod 2(2) and k == 1 mod 421(421)

Found Primes: 4199k's - File emailed

Remaining: 113k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 10k's

MOB Eliminations: 3k's - File emailed

Base Released

S740
 

S740 tested n=50K-100K

4*740^58042+1 is prime

13*740^n+1 is now a 1ker with a weight of 1350

Results emailed - Base released

R698
 

R698 tested n=100k to 150k, 1 prime found: 2*698^127558-1

Base released.

Results and sieve file to n=1M emailed.

R746
 

R746 tested n=50K-100K - Nothing found

Results emailed - Base released

S583
 

Sierp Base 583
Conjectured k = 2994
Covering Set = 5, 41, 73
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 96 mod 97(97)

Found Primes: 968k's - File emailed

Remaining: 19k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 509k's

Base Released

R991 is complete to n=25K; 20 k's found prime for n=5K-25K; 33 k's remain; base released.

I would like to reserve S947 & S530 to n=50K

Reserving R971 and R982 as new to n=25k

Reserving following 1 k'er: 12*998^n+1 to n=200K

Take care

KEP

S877 S882
 

Reserving S877 & S882 as new to n=25K

S672 S723
 

Reserving S672 & S723 as new to n=25K

S530,S947,S993 are complete to n=50K

no primes.

Attached are the results

R522
 

Riesel Base 522
Conjectured k = 9797
Covering Set = 5,7,13,31,45
Trivial Factors k == 520 mod 521(521)

Found Primes: 9557k's - File emailed

Remaining: 209k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 18k's

MOB Eliminations: 11k's - File emailed

R852
 

Riesel Base 852
Conjectured k = 8529
Covering Set = 5, 41, 853
Trivial Factors k == 1 mod 23(23) and k == 1 mod 37(37)

Found Primes: 7800k's - File emailed

Remaining: 130k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 590k's

MOB Eliminations: 7k's - File emailed

Base Released

S633
 

Sierp Base 633
Conjectured k = 6022
Covering Set = 5, 17, 317
Trivial Factors k == 1 mod 2(2) and k == 78 mod 79(79)

Found Primes: 2890k's - File emailed

Remaining: 78k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 38k's

MOB Eliminations: 4k's - File emailed

Base Released

S940 S988
 

Reserving S940 & S988 as new to n=25K

R1029
 

26*1029^n-1 tested 200k<n<250k, no prime

continuing...

I would like to reserve R601 to n=50K.

S672
 

Sierp Base 672
Conjectured k = 3366
Covering Set = 5, 37, 673
Trivial Factors k == 10 mod 11(11) and k == 60 mod 61 (61)

Found Primes: 2974k's - File emailed

Remaining: 32k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 356k's

MOB Eliminations: 1k - File emailed
1344

GFN Eliminations: 1k - File emailed
672

Base Release

[QUOTE=Puzzle-Peter;260093]Reserving R980 and R987 to n=100k[/QUOTE]

These are not marked on the reservation pages.

Mathew has reported that R601 is complete to n=50K. There is nothing to report and the base is released.

S882
 

Sierp Base 882
Conjectured k = 5297
Covering Set = 5, 37, 883
Trivial Factors k == 880 mod 881(881)

Found Primes: 5209k's - File emailed

Remaining: 76k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 6k's

MOB Eliminations: 3k's - File emailed

GFN Eliminations: 1k - File emailed
882

Base Released

S988
 

Sierp Base 988
Conjectured k = 1678
Covering Set = 23, 43
Trivial Factors k == 2 mod 3(3) and k == 6 mod 7 (7) and k == 46 mod 47 (47)

Found Primes: 923k's - File emailed

Remaining: 13k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 739k's

GFN: 1k - File emailed
988

Base Released

R697 R952
 

Reserving R697 & R952 s new to n=25K

S723
 

Sierp Base 723
Conjectured k = 2354
Covering Set = 5, 13, 181
Trivial Factors k == 1 mod 2(2) and 18 mod 19(19)

Found Primes: 1087k's - File emailed

Remaining: 27k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 62k's

Base Released

Reserving S625 as new to n=25K.

It has about a hundred k's left to test after first weeding. That is after taking off the list some already known S5 primes and 8 S25 well tested k's. It also has four excluded Aurifeuillian k's (because 625 itself is the 4th power)!

[QUOTE=Batalov;263573]Reserving S625 as new to n=25K.

It has about a hundred k's left to test after first weeding. That is after taking off the list some already known S5 primes and 8 S25 well tested k's. It also has four excluded Aurifeuillian k's (because 625 itself is the 4th power)![/QUOTE]

I show that there are 6 Aurifeuillian k's. To verify that I'm understanding the term "Aurifeuillian" correctly, I take that to mean k's that are of the form 4*q^4, which means that the form 4*q^4+1 factors as (2*m^2+2m+1)*(2*m^2-2m+1). Regardless, I show the k's that are eliminated by such "full algebraic factors" as 4, 1024, 2500, 5184, 9604, & 16384. k=64 & 324 have a trivial factor of 13 so don't require the algebraic factors to eliminate them.

Let me know if you agree with this.

yep, six, if we pull 2500 out in the MOB bin. (And 64 and 324 are in the trivial bin). All of them are excluded, anyway.

The MOB bin has to be sorted after all is done. There's still 3750 in it, and it will go where 6 will go. Right now, 6 is still undecided.

Around now, down to 80 k's and 8 k's common with S25:
222 (100K for base 25; for base 625, half that)
6436 (275.3K)
7528 (289.1K)
10218 (100K)
10918 (280.1K)
12864 (100K)
13548 (100K)
15588 (100K)

Right now the top 5 are:
12988*625^31700+1
14110*625^31029+1
6082*625^22718+1
1146*625^13948+1
2190*625^9139+1
(and it is obvious that the largest ones are borrowed from S5;
using "^[[:digit:]]{1,}*5^[[:digit:]]{1,}+1" and "Type: all" in [URL="http://primes.utm.edu/primes/search.php"]adv.search[/URL])

S877
 

Sierp Base 877
Conjectured k = 2182
Covering Set = 5, 7, 13, 37, 139
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 72 mod 73(73)

Found Primes: 698k's - File emailed

Remaining: 18k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 374k's

Base Released

Taking R1001 and S1002.

S758
 

S758 tested n=100K-200K - Nothing found

Results emailed - Base released

S940
 

Sierp Base 940
Conjectured k = 5557
Covering Set = 7, 73, 577
Trivial Factors k == 2 mod 3(3) and k == 312 mod 313(313)

Found Primes: 3628k's - File emailed

Remaining: 61k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1864k's

MOB Eliminations: 1k - File emailed
2820

GFN Eliminations: 1k - File emailed
940

Base Released

S625
 

S625 is done to 25K and released. 55 k remaining (of them 8 are common with S25 and S5 and one is a MOB).
Control files are attached, the residues are in the mail.

S996
 

Reserving S996 as new to n=25K

R998 tested n=25k to 100k, nothing found.

Base released.

S543 S693
 

S543 & S693 reserved as new to n=25K

All conjectures with ck < 10K should now at least be reserved to n=25K - Riesel & Sierp

S543 is a nasty one for an odd base, isn't it?

[QUOTE]S543 is a nasty one for an odd base, isn't it? [/QUOTE]

Yes it is, With a ck of 6478, I have 230k's remaining @ n=2.5K. There's a lot of low weight k's in that one.

R971
 

R971 tested to n=25k
Scripting to n=2000 left 164 k's
56 k's found prime from n=2000 to n=25000
108k's left at n=25k

S928
 

Sierpinski 928 is complete to n=25k. This has been a very long slog, and I'm stopping here.

23 more primes.

[code]2001*928^20357+1
8928*928^20695+1
8964*928^21214+1
6081*928^22251+1
2928*928^22311+1
481*928^22383+1
3628*928^22828+1
277*928^23898+1
16678*928^20015+1
15874*928^20861+1
14796*928^20996+1
16260*928^21116+1
14605*928^21378+1
9583*928^21695+1
17272*928^22600+1
15930*928^22914+1
13747*928^23392+1
11722*928^24808+1
24888*928^20284+1
24648*928^21500+1
21061*928^22515+1
18828*928^23051+1
19512*928^24114+1
[/code]

Base is most definitely released.

[QUOTE=paleseptember;264723]Sierpinski 928 is complete to n=25k. This has been a very long slog, and I'm stopping here.

23 more primes.

Base is most definitely released.[/QUOTE]

I know how you feel considering I did R928, which was slightly harder.

R823
 

Riesel Base 823
Conjectured k = 8262
Covering Set = 7, 43, 751
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 137(137)

Found Primes: 2638k's - File emailed

Remaining: 93k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1397k's

MOB Eliminations:m 2k's - File emailed

Base Released

I forgot to mention: R971 released.

S828
 

S828 tested n=100K-200K - Nothing found

Results emailed - Base released

R952
 

Riesel Base 952
Conjectured k = 5411
Covering Set = 13, 43, 541
Trivial Factors k == 1 mod 3(3) and k == 1 mod 317(317)

Found Primes: 3540k's - File emailed

Remaining: 52k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1815k's

MOB Eliminations: 2k's - File emailed

Base Released

Reservations
 

Reserving the following 1kers to n=200K.

R668 R815
S803 S866 S917 S934 S935

S996
 

Sierp Base 996
Conjectured k = 5841
Covering Set = 7, 19, 43, 127
Trivial Factors k == 4 mod 5(5) and k == 198 mod 199(199)

Found Primes: 4579k's - File emailed

Remaining: 65k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 1192k's

MOB Eliminations: 2k's - File emailed

GFN Eliminations: 1k - File emailed
996

Base Released

R982
 

R982 tested to n=25000
Scripting to n=2000 left 211 k's
108 primes found for 2001<n<=25000
--> 103 k's remaining at n=25000
Base released

R548
 

R548 tested n=100K-200K - Nothing found

Results emailed - Base released

S543
 

Sierp Base 543
Conjectured k = 6478
Covering Set = 7, 13, 17, 19
Trivial Factors k == 1 mod 2(2) and 270 mod 271(271)

Found Primes: 3094k's - File emailed

Remaining: 130k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 12k's

MOB Eliminations: 2k's - File emailed

Base Released

Taking R752 and R931

R668
 

R668 tested n=100K-200K - Nothing found

Results emailed - Base released

S693
 

Sierp Base 693
Conjectured k = 6592
Covering Set = 5,13,347
Trivial Factors k == 1 mod 2(2) and 172 mod 173(173)

Found Primes: 3241k's - File emailed

Remaining: 32k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 19k's

MOB Eliminations: 3k's - File emailed

Base Released

[COLOR=Red]Unless I missed something, this is the last Sierp base with a ck <10K to be started[/COLOR]

Sierp finally beat Riesel at something :razz:

[QUOTE=MyDogBuster;266794][COLOR=red]Unless I missed something, this is the last Sierp base with a ck <10K to be started[/COLOR]

Sierp finally beat Riesel at something :razz:[/QUOTE]

Actually all Sierp bases are complete to n=25K. S625 was complete to n=25K a few weeks ago but I need to take about 2+ hours out to verify and cross reference all base 5 and 25 primes with it.

R636 completed to n=200000. No primes.

R697
 

Riesel Base 697
Conjectured k = 4536
Covering Set = 5, 13, 349
Trivial Factors k == 1 mod 2(3) and k == 1 mod 3(3) and k == 1 mod 29(29)

Found Primes: 1433k's - File emailed

Remaining: 24k's - Tested to n=25K - File emailed

Trivial Factor Eliminations: 808k's

MOB Eliminations: 2k's - File emailed

Base Released

[COLOR=Red]This is the last Riesel base with ck<10K to be started.[/COLOR] :surrender

Kenneth has reported that S998 is at n=128.1K. There is nothing to report and he is continuing.

R812
 

R812 tested n=100K-200K - Nothing found

Results emailed - Base released

S653
 

Reserving S653 to n=100K

S1002 complete to n=50000 and released. Two primes found:

154*1002^48610+1
409*1002^46198+1

7 k remain. Residues attached.