After some further thought, I think I'm going to bow out of R1025 for now as it requires computing power I don't have to be completed efficiently. I've attached the candidates tested with corresponding residues as well as the candidates that have not been sieved out. Each sieved file has the depth of sieving in its name. Lastly, I'm attaching the factors file (in completed_tests.7z)--note that this is for all sieving and should be able to confirm that candidates were removed correctly.

Reserving R642 to n=100k (25-100k) for BOINC

S917 reached n=400K, no prime found. Releasing Base, results attached.

Reserving S968 n=200K-400K.

Reserving S540 for nmax=10K. I´m splitting these base in a few ranges. I think the first ranges will be released soon. :)

Reserving S821 to n=500k (200-500k) for BOINC

S606 and S540
 

S606 reached n=10K, files attached. 415 k´s remain.

Some progress on S540, nmax=10K

k 2-500
2 k´s remain

k 501-2000
1 k remain

k 2001-10000
20 k´s remain

k 10001-25000
34 k´s remain

Files attached.

R745 Update
 

A quick update on R745.

Just passed n=190k, still 22 k values remain.

Reserving R750 to n=100k (25-100k) for BOINC

S751 tested to n=100k (25-100k)

50 primes found, 119 remain

Results emailed - Base released

S920 tested to n=300k (117-300k)

1 prime found, 5 remain

68*920^212407+1

Results emailed - Base released

R967 status update: n=380k reached, the prime managed to remain hidden...
Moved to a 10-cores machine. Going higher, faster now. A test still takes almost 4 hours, but we do now 10 of them in parallel.

[QUOTE=MisterBitcoin;455839]S917 reached n=400K, no prime found. Releasing Base, results attached.

Reserving S968 n=200K-400K.[/QUOTE]

Releasing S968 due to high nash and very slow progress.
Attached are results n<250K

R642 tested to n=100k (25-100k)

35 primes found, 57 remain

[CODE]2853*642^25007-1
807*642^25193-1
78*642^25288-1
2073*642^27680-1
2384*642^28152-1
2627*642^28866-1
1704*642^29327-1
1397*642^30672-1
1138*642^31152-1
517*642^34808-1
2790*642^39582-1
372*642^42428-1
2573*642^42647-1
1423*642^44483-1
1772*642^45344-1
1114*642^45739-1
2092*642^46649-1
274*642^47623-1
1949*642^53111-1
948*642^53116-1
2027*642^55628-1
831*642^56713-1
1529*642^58779-1
1571*642^60350-1
3041*642^60669-1
2367*642^62258-1
1223*642^64099-1
2401*642^65723-1
2174*642^69252-1
480*642^76579-1
2842*642^77396-1
124*642^77733-1
2237*642^77737-1
733*642^90458-1
72*642^96360-1 [/CODE]


Results emailed - Base released

R636 tested to n=1M (200k-1M)

nothing found, 1 remain

Results emailed - Base released

R693 tested to n=50k

17 primes found, 58 remain.

Results attached, including a sieve file for n=50K-100K up to 4e12.

Base released.

Reserving R823 to n=100k (25-100k) for BOINC

Reserving R888 to n=400k (250-400k) for BOINC

Reserving R958 to n=300k

R750 tested to n=100k (25-100k)

44 primes found, 77 remain

[CODE]2505*750^59106-1
3405*750^43816-1
3422*750^38199-1
4293*750^77894-1
4650*750^50874-1
5359*750^57930-1
6152*750^36810-1
6919*750^67887-1
7125*750^44416-1
8362*750^70415-1
8557*750^66987-1
8797*750^57351-1
8810*750^29121-1
8984*750^27223-1
9018*750^30882-1
10111*750^63444-1
10962*750^80046-1
11636*750^30170-1
11750*750^57292-1
12392*750^37889-1
13330*750^95782-1
13971*750^42448-1
15111*750^95653-1
15525*750^25602-1
15692*750^97783-1
19435*750^99831-1
20107*750^69483-1
20302*750^40491-1
20536*750^26746-1
20705*750^41590-1
20894*750^27722-1
21418*750^37057-1
21608*750^96803-1
21641*750^30531-1
22035*750^74831-1
23039*750^37221-1
23173*750^51757-1
23336*750^25151-1
23595*750^45590-1
23799*750^34513-1
23986*750^83905-1
24248*750^29895-1
24485*750^34733-1
26604*750^60898-1[/CODE]

Results emailed - Base released

Reserving R843 to n=100k (25-100k) for BOINC

S821 tested to n=500k (200-500k)

nothing found, 1 remain

Results emailed - Base released

Reserving R693 to n=100k (50-100k) for BOINC

Reserving S502 to n=100k (25-100k) for BOINC

Reserving S504 to n=250k (100-250k) for BOINC

Reserving S753 to n=200K.

S520 Update
 

S520 is currently at n=511923. No primes found thus far. Continuing to the planned n=700k.

S770 tested to n=300k (127-300k)

nothing found, 2 remain

Results emailed - Base released

Reserving S688 to n=500k (100-500k) for BOINC

Reserving S646 up to n=10K using srbsieve.
All Bases k<50K (Sierp-bases) have been at least started or searched up to n=10K. :smile:

[QUOTE=MisterBitcoin;457408]Reserving S646 up to n=10K using srbsieve.
All Bases k<50K (Sierp-bases) have been at least started or searched up to n=10K. :smile:[/QUOTE]

All bases on [I]both[/I] sides with a CK<50K have been searched to n=10K. Also there are only two bases on both sides that have not reached n=25K:

S432, which has 2065 k's remaining at n=2500. It is currently being searched by Ian.

S522, which has 1031 k's remaining at n=10K. I have now added it to the recommended list for n=10K-25K.

[QUOTE=gd_barnes;457411]All bases on [I]both[/I] sides with a CK<50K have been searched to n=10K. Also there are only two bases on both sides that have not reached n=25K:

S432, which has 2065 k's remaining at n=2500. It is currently being searched by Ian.

S522, which has 1031 k's remaining at n=10K. I have now added it to the recommended list for n=10K-25K.[/QUOTE]

That´s nice. My sieve for S361 should be done soon, just passed 25 sec/factor. I´ll than make an sieve file for S522. I should have a remain k´s on my PC somewhere...:smile:

Reserving S658 to n=100k (25-100k) for BOINC

R823 tested to n=100k (25-100k)

25 primes found, 68 remain

3360*823^27760-1
6990*823^29808-1
3272*823^30292-1
732*823^31111-1
2648*823^33465-1
5046*823^34678-1
5378*823^38658-1
422*823^39015-1
3816*823^42734-1
5708*823^47882-1
2570*823^49403-1
7242*823^50055-1
5946*823^53950-1
7800*823^56376-1
3056*823^59245-1
2762*823^63684-1
2306*823^67007-1
3768*823^68094-1
7368*823^80817-1
8222*823^81210-1
4466*823^83645-1
3306*823^90326-1
7448*823^91882-1
3102*823^93790-1
36*823^94169-1

Results emailed - Base released

R575
 

Reserving R575 to n=25K

R888 tested to n=400k (250-400k)

1 prime found, 1 remain

34*888^326732-1

Results emailed - Base released

R693 tested to n=100k (50-100k)

11 primes found, 47 remain

3272*693^50472-1
3722*693^54052-1
11806*693^55141-1
10622*693^55822-1
1024*693^56043-1
9368*693^63446-1
8212*693^67930-1
1342*693^70479-1
4220*693^80535-1
3884*693^89024-1
1244*693^92821-1

Results emailed - Base released

Reserving R523 to n=500k (200-500k) for BOINC

Reserving R897 to n=100k (25-100k) for BOINC

Reserving R973 to n=100k (25-100k) for BOINC

S646 reached n=10K, 298 k´s remain. Releasing Base, Results attached.

Reserving R877 to n=10K using srbsieve.

Progress update
 

Stop working on K4 S803 at 488K and releasing base - results and sieve file send to Gary

R843 tested to n=100k (25-100k)

46 primes found, 67 remain

Results emailed - Base released

R958 completed to n=300k. No prime found.

Results attached.

Base released.

S502 tested to n=100k (25-100k)

41 primes found, 89 remain

Results emailed - Base released

S504 tested to n=250k (100-250k)

1 prime found, 3 remain

76*504^107254+1

Results emailed - Base released

Reserving R964 to n=400k (100-400k) for BOINC

S658 tested to n=100k (25-100k)

54 primes found, 112 remain

Results emailed - Base released

Reserving S598 to n=100k (25-100k) for BOINC

Reserving S757 to n=100k (25-100k) for BOINC

S540 k-range 25K-100K reached n=10K (Yeah, this happend 1 week ago but I wanted to wait for the final range...which will take some more days...)

Anyway, there are 147 k´s remain in that range. When all ranges where done, I´ll attach an k´s remain File. :smile:

The following ranges are left:

[CODE]
100K-250K (upload tomorrow)
250K-end (still running...)
[/CODE]

[QUOTE=MisterBitcoin;458390]S540 k-range 25K-100K reached n=10K (Yeah, this happend 1 week ago but I wanted to wait for the final range...which will take some more days...)

Anyway, there are 147 k´s remain in that range. When all ranges where done, I´ll attach an k´s remain File. :smile:

The following ranges are left:

[CODE]
100K-250K (upload tomorrow)
250K-end (still running...)
[/CODE][/QUOTE]

That last range is a doosie! :smile:

S618
 

S618 is currently at n=72369, on its way to n=100k.

R708 is currently at n=27157, on its way to n=30k.

Reserving R892 to n=200K.

Here is the second last part from S540.
341 k´s remain on that range, @n=10K.

[QUOTE=MisterBitcoin;458427]Here is the second last part from S540.
341 k´s remain on that range, @n=10K.[/QUOTE]

You have not posted primes and k's reamining for k=25K-100K. I only have k<=25K and k=100K-250K.

I cannot update the pages with that gap.

[QUOTE=gd_barnes;458443]You have not posted primes and k's reamining for k=25K-100K. I only have k<=25K and k=100K-250K.

I cannot update the pages with that gap.[/QUOTE]

Well, looks like i forgot my brain yesterday at work, here we go.

S753 is complete to n=200K; no primes were found for n=100K-200K; 2 k's still remain; base released

R523 tested to n=300k (200-300k)

1 prime found, base proven

126*523^222906-1

Results emailed - Base released

For R523, k=132, the covering set should be 5, 17, 131, not 5, 17, 31.

[QUOTE=rebirther;458655]R523 tested to n=300k (200-300k)

1 prime found, base proven

126*523^222906-1

Results emailed - Base released[/QUOTE]


Great news! :bounce wave::retina:

Reserving R702 to n=400k (200-400k) for BOINC

Reserving R867 to n=300K.

R877 reached n=10K, releasing base.
636 k´s remain, results attached.

R897 tested to n=100k (25-100k)

38 primes found, 45 remain

[CODE]16578*897^25218-1
6348*897^25688-1
4342*897^26838-1
10422*897^26930-1
12988*897^26971-1
19088*897^27819-1
4594*897^28364-1
14920*897^28418-1
15018*897^28559-1
3836*897^28958-1
12872*897^29189-1
4662*897^29888-1
3428*897^32514-1
8988*897^34252-1
18812*897^35016-1
13482*897^35573-1
15406*897^35594-1
19044*897^37299-1
12780*897^38393-1
7292*897^38421-1
5274*897^38940-1
1866*897^39405-1
10694*897^39867-1
18182*897^42284-1
4606*897^44891-1
19086*897^45158-1
18408*897^45288-1
17064*897^49449-1
798*897^50260-1
840*897^54949-1
12296*897^57518-1
11406*897^58947-1
19098*897^63246-1
12196*897^71787-1
18968*897^73776-1
16554*897^78440-1
9334*897^79683-1
9484*897^85704-1[/CODE]Results emailed - Base released

R892 is complete to n=200K; no primes were found for n=100K-200K; 3 k's still remain; base released.

R964 tested to n=200k (100-200k)

2 primes found, base proven

141*964^110107-1
129*964^112228-1

Results emailed - Base released

R964
 

[QUOTE]2 primes found, base proven[/QUOTE]

Nice one. Nice ck of 194

[QUOTE=rebirther;459227]R964 tested to n=200k (100-200k)

2 primes found, base proven

141*964^110107-1
129*964^112228-1

Results emailed - Base released[/QUOTE]


Second Base proven this month. :smile:
:bow wave::groupwave::party:

Reserving R564 to n=500k (250-500k) for BOINC

R973 tested to n=100k (25-100k)

50 primes found, 83 remain

Results emailed - Base released

Reserving R971 to n=100k (25-100k) for BOINC

S598 tested to n=100k (25-100k)

57 primes found, 93 remain

Results emailed - Base released

Reserving S568 to n=100k (25-100k) for BOINC

S660
 

Reserving S660 to n=25K

R867 is complete to n=350K; no primes were found for n=200K-350K; 1 k still remains; base released.

R575
 

R575 tested n=10K-25K

283 Primes found - 979 Remain

Results emailed - Base released

S757 tested to n=100k (25-100k)

78 primes found, 120 remain

Results emailed - Base released

Reserving R905 to n=200K.

R971 tested to n=100k (25-100k)

26 primes found, 82 remain

1220*971^25068-1
830*971^27374-1
872*971^28568-1
122*971^30752-1
3368*971^31078-1
934*971^32811-1
1794*971^32946-1
2030*971^33572-1
2044*971^33741-1
2792*971^36002-1
2338*971^37395-1
598*971^43559-1
1158*971^47626-1
3064*971^50523-1
2304*971^51191-1
2360*971^51850-1
1028*971^55708-1
2900*971^58822-1
2350*971^62749-1
1368*971^65297-1
3340*971^66969-1
42*971^67575-1
794*971^71126-1
3244*971^75063-1
2444*971^78748-1
1160*971^99188-1

Results emailed - Base released

Reserving S738 to n=100k (25-100k) for BOINC

Reserving R591 to n=100k (25-100k) for BOINC

R702 tested to n=400k (200-400k)

nothing found, 1 remain

Results emailed - Base released

Reserving R995 to n=500k (200-500k) for BOINC

S568 tested to n=100k (25-100k)

58 primes found, 86 remain

Results emailed - Base released

Reserving S555 to n=100k (25-100k) for BOINC

R905 is complete to n=200K; 2 primes were found for n=100K-200K shown below; 1 k remains; base released.

Primes:
32*905^178286-1
70*905^189879-1

Reserving R943 to n=100k (25-100k) for BOINC

S738 tested to n=100k (25-100k)

65 primes found, 129 remain

Results emailed - Base released

R591 tested to n=100k (25-100k)

48 primes found, 55 remain

Results emailed - Base released

Reserving R918 to n=100k (25-100k) for BOINC

S555 tested to n=100k (25-100k)

72 primes found, 132 remain

Results emailed - Base released

S688 tested to n=500k (100-500k)

1 prime found, 2 remain

67*688^423893+1

Results emailed - Base released

Reserving S708 to n=100k (25-100k) for BOINC

R564 tested to n=500k (250-500k)

nothing found, 2 remain

Results emailed - Base released

Reserving S564 to n=500k (100-500k) for BOINC

Reserving R852 to n=100k (25-100k) for BOINC

R943 tested to n=100k (25-100k)

49 primes found, 90 remain

Results emailed - Base released

R918 tested to n=100k (25-100k)

48 primes found, 75 remain

Results emailed - Base released

Reserving R771 to n=100k (25-100k) for BOINC

S660
 

S660 tested n=10K-25K

276 primes found - 564 remain

Results emailed Base released

2*578^129468-1 is prime! (357582 decimal digits, P = 4) Time : 3685.562 sec.

I guess this kicks out this k from R578 (if not kicked out meantime, I didn't follow R578, and it wasn't reserved by me, just a lucky hit from a side project testing 2*b^n-1 for some bases b)