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-   -   Bases 501-1030 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=12994)

 gd_barnes 2010-06-15 06:33

S647 is complete to n=25K; 2 primes found for n=5K-25K; 4 k's remaining; largest prime 58*647^22212+1; base released.

 unconnected 2010-06-15 09:14

Reserving R666(2k's) and S800(3k's) to n=100K.

 rogue 2010-06-15 12:24

[QUOTE=paleseptember;218618]Nice work rogue! I'm in awe at the work that you're putting in. You're putting my efforts with R603 (currently at ~19K) and S928 (at 12.8K) to shame![/QUOTE]

It isn't as much work as you might think. I use the script, then sieve, then put the .pfgw file into PRPNet. I kept doing that until I had an estimated ten days of work. It turned out to be about four days of work.

 rogue 2010-06-15 12:33

More reservations

Sierpinski base 920

Riesel bases 615, 746, 846, 866

 rogue 2010-06-15 14:58

And more

Riesel bases 665 and 737.

Sierpinski bases 737 and 983.

 rogue 2010-06-16 12:29

Reservations

Taking Riesel base 872.

Taking Sierpinksi bases 515, 773, 845, and 657.

 rogue 2010-06-16 12:55

Sierpinski bases 657 and 515

Primes found:

[code]
2*657^2+1
4*657^2+1
6*657^1+1
8*657^2368+1
10*657^1+1
12*657^3+1
14*657^1+1
16*657^1+1
18*657^1+1
20*657^25+1
22*657^4+1
24*657^2+1
26*657^8+1
28*657^1+1
30*657^2+1
32*657^1688+1
34*657^3+1
36*657^12+1
38*657^1+1
42*657^16+1
44*657^1+1
46*657^1+1
[/code]

[code]
2*515^1+1
4*515^122+1
6*515^2+1
8*515^11+1
10*515^4+1
12*515^186+1
14*515^1+1
16*515^94+1
18*515^2+1
20*515^1+1
22*515^254+1
24*515^37+1
26*515^2477+1
28*515^2+1
30*515^1+1
32*515^1+1
34*515^2+1
36*515^1+1
38*515^1+1
40*515^12+1
42*515^1331+1
[/code]

Both are proven.

 rogue 2010-06-16 12:56

Reservations

Taking Riesel bases 773 and 563.

 rogue 2010-06-16 15:15

Reservations

Riesel bases 528, 832, and 951.

Sierpinski base 951.

 rogue 2010-06-16 17:10

More reservations

Taking Riesel base 582.

Taking Sierpinski bases 844, 953, and 582.

 kar_bon 2010-06-17 05:28

R1019, k=2 at n=130k, no prime, continuing

 gd_barnes 2010-06-17 12:33

S578 is complete to n=25K; 2 primes found for n=5K-25K; 7 k's remaining; base released.

 unconnected 2010-06-17 16:06

1 Attachment(s)
Sierp base 999, CK=3224.

Primes attached.
89 k's remain.

Base completed to n=25K and released.

 MyDogBuster 2010-06-17 16:24

Sierp 605

Sierp 605 the last k (70*605-n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 paleseptember 2010-06-17 23:50

Sierp 928

Completed n=12-13K

17 Primes:
[CODE]27658*928^12002+1
15306*928^12039+1
14166*928^12216+1
21486*928^12267+1
12481*928^12276+1
9609*928^12347+1
11710*928^12430+1
23583*928^12471+1
10821*928^12568+1
23713*928^12572+1
469*928^12607+1
16635*928^12624+1
9048*928^12712+1
2263*928^12748+1
15516*928^12860+1
7668*928^12870+1
292*928^12969+1
[/CODE]
631 k-values remaining. Continuing.

 rogue 2010-06-18 13:47

Results

Riesel base 665 primes found:

[code]
2*665^12-1
4*665^1-1
6*665^1-1
10*665^7-1
12*665^3-1
14*665^1702-1
16*665^1-1
18*665^1-1
20*665^2-1
22*665^1-1
24*665^1-1
26*665^16-1
28*665^3-1
30*665^1-1
32*665^2-1
34*665^59-1
[/code]

k=8 and 36 reman at n=25000. Released.

Riesel base 746 primes found:

[code]

2*746^62-1
3*746^1-1
4*746^81-1
5*746^4-1
7*746^5-1
8*746^4-1
9*746^3-1
10*746^1-1
12*746^1-1
13*746^1-1
15*746^40-1
17*746^4-1
18*746^405-1
19*746^1-1
22*746^1-1
23*746^2-1
24*746^1-1
27*746^2-1
28*746^1-1
29*746^284-1
30*746^444-1
32*746^6-1
33*746^10-1
[/code]

k=14, 20, 25 remain at n=25000. Released.

Sierpinski base 887 primes found:

[code]

4*887^2+1
6*887^1+1
8*887^5+1
10*887^12+1
12*887^13960+1
14*887^7+1
18*887^2+1
20*887^545+1
22*887^1008+1
24*887^2687+1
26*887^1+1
28*887^6+1
30*887^123+1
32*887^3+1
36*887^1243+1
[/code]

k=2, 16, and 34 remain at n=25000. Released.

Sierpinski base 948 primes found:

[code]
2*948^1242+1
3*948^3+1
4*948^1+1
5*948^18+1
6*948^1+1
7*948^1+1
8*948^11+1
9*948^194+1
10*948^79+1
11*948^1+1
12*948^69+1
13*948^3+1
14*948^14+1
15*948^1+1
16*948^2193+1
17*948^97+1
18*948^4+1
19*948^1+1
20*948^2+1
21*948^4+1
22*948^1+1
23*948^6+1
24*948^9+1
25*948^3+1
26*948^19+1
27*948^196+1
28*948^358+1
29*948^2+1
30*948^6+1
31*948^1+1
32*948^26+1
33*948^54+1
34*948^1+1
35*948^1+1
36*948^1+1
37*948^2+1
[/code]

Proven.

 rogue 2010-06-18 13:49

More results

Sierpinski base 920 primes found:

[code]

2*920^221+1
3*920^3+1
5*920^15+1
6*920^1+1
7*920^490+1
9*920^2+1
10*920^4+1
11*920^3+1
12*920^8+1
15*920^4+1
16*920^6+1
17*920^1+1
18*920^1+1
19*920^2+1
20*920^1+1
21*920^6+1
22*920^40+1
23*920^191+1
24*920^4+1
25*920^2+1
26*920^23+1
27*920^1+1
28*920^2+1
29*920^1+1
30*920^9+1
31*920^6+1
32*920^5493+1
33*920^2+1
34*920^8+1
35*920^83+1
36*920^24+1
37*920^226+1
38*920^1+1
39*920^12+1
40*920^2+1
41*920^93+1
42*920^3+1
44*920^9+1
45*920^4+1
46*920^1254+1
47*920^65+1
48*920^3+1
49*920^4+1
50*920^5+1
51*920^2+1
52*920^88+1
53*920^1+1
54*920^1+1
55*920^4+1
56*920^1+1
57*920^6+1
58*920^2+1
59*920^75+1
60*920^1+1
61*920^9644+1
62*920^1+1
63*920^11+1
65*920^111+1
66*920^43+1
67*920^2+1
69*920^770+1
70*920^2+1
71*920^71+1
72*920^60+1
73*920^5802+1
74*920^3+1
75*920^1+1
76*920^686+1
77*920^1+1
78*920^1+1
80*920^13+1
81*920^1+1
83*920^3+1
84*920^9+1
85*920^2+1
86*920^5+1
87*920^45+1
88*920^24+1
89*920^51+1
90*920^16+1
91*920^6+1
92*920^241+1
93*920^4+1
94*920^46+1
95*920^183+1
96*920^1+1
97*920^74+1
98*920^323+1
99*920^1+1
100*920^4+1
101*920^1+1
102*920^354+1
[/code]

k=4, 8, 13, 14, 43, 64, 68, 79, 82 remain at n=25000. Released.

Sierpinski base 998 primes found:

[code]
2*998^1+1
3*998^87+1
4*998^14+1
5*998^3+1
6*998^19+1
7*998^2+1
9*998^74+1
10*998^88+1
11*998^1+1
13*998^160+1
14*998^5+1
15*998^3+1
16*998^1092+1
17*998^321+1
18*998^2+1
19*998^6+1
20*998^1+1
21*998^1+1
22*998^6+1
23*998^3+1
24*998^591+1
25*998^2+1
26*998^9+1
27*998^1+1
28*998^106+1
29*998^3+1
30*998^1205+1
31*998^268+1
32*998^29+1
33*998^24+1
34*998^9454+1
35*998^3+1
36*998^3+1
37*998^40+1
[/code]

k=8 and 12 remain at n=25000. Released

 MyDogBuster 2010-06-18 15:14

Riesel 665

Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL

Ian

 rogue 2010-06-18 16:29

[QUOTE=MyDogBuster;219110]Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL[/QUOTE]

I forgot about that. It was the only one I've seen on all of these small k conjectures that I've been doing. Thanks for the catch.

 Flatlander 2010-06-18 17:01

Kill the Conjecture rally?

[QUOTE=MyDogBuster;219110]Mark, On R665, k=36 is eliminated due to partial algebraic factors. Even n, square of 6, odd n by factor 37. Oh joy, that leaves another 1ker. LOL

Ian[/QUOTE]
Maybe sometime in the future we could have a rally for a few days where we all switch over to/put emphasize on 1ker work? (Even though I know Gary loves the little darlings. :grin:)
Probably only knock off a small percentage though.

 rogue 2010-06-18 17:58

[QUOTE=Flatlander;219123]Maybe sometime in the future we could have a rally for a few days where we all switch over to/put emphasize on 1ker work? (Even though I know Gary loves the little darlings. :grin:)
Probably only knock off a small percentage though.[/QUOTE]

It has already been suggested that a public PRPNet server be set up. The sieving effort would need to be coordinated. Right now I'm on a mission to knock off all conjectures with k < 100 because those conjectures are going to add a number of new single k remaining conjectures to the list.

 MyDogBuster 2010-06-18 21:49

Reserving the following 1ker's to n=50K

2*752^n+1
8*758^n+1
370*781^n+1

 Mathew 2010-06-18 23:36

1 Attachment(s)
R998 is complete to n=25K

CK=38

4 k's remain k=5,22,29,30

k=36 removed by partial algebraic factors:

showing work

factor (998+1)=factor (999)=3[SUP]3[/SUP]*37

Then from [URL="http://www.mersenneforum.org/showpost.php?p=153704&postcount=3"]Factors list[/URL]. Notice a factor of 37 removes 6[SUP]2[/SUP] = 36 [TEX]\therefore[/TEX] remove

Attached are the results

 MyDogBuster 2010-06-19 01:32

Nice job with k=36 Mathew. Nice not having to test those k's.

 MyDogBuster 2010-06-19 17:15

Sierp 626

Sierp 626 the last k (2*626-n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 MyDogBuster 2010-06-20 18:32

Sierp 650

Sierp 650 the last k (4*650-n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 MyDogBuster 2010-06-21 05:11

Sierp 677

Sierp 677 the last k (34*677-n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 MyDogBuster 2010-06-21 05:16

Sierp 752

Sierp 752, the last k (2*752-n+1) tested n=25K-50K.

Prime 2*752^26163+1 - Conjecture proven

Results attached

 Flatlander 2010-06-21 22:06

Reserving S636. (For sieving and testing.)

 gd_barnes 2010-06-22 09:40

[quote=Flatlander;219123]Maybe sometime in the future we could have a rally for a few days where we all switch over to/put emphasize on 1ker work? (Even though I know Gary loves the little darlings. :grin:)
Probably only knock off a small percentage though.[/quote]

I like the 1kers. They are great. I like the idea, originally suggested by Mark, of having one big PRPnet server where we continually load in new sieved files for new 1k bases. (We could even have 2 or 3 PRPnet servers where one has 1k bases, another has 2k's thru 5k's remaining bases, etc.) My current thinking is to sieve all unreserved 1k bases <=250 that are at n=100K, which there are now a lot of because Max and I have been working towards that on both sides (mostly Max in the last 2 months). We have 3 to go. But before we can begin sieving all of them from n=100K, we need to test some 2k and 3k bases that are at n<=100K to see if we can add some more 1k bases. I think Max has in mind to do those next. If not, I will. So it will be a little while yet. The idea is to maximize the # of 1k bases that we have at n=100K.

Gary

 gd_barnes 2010-06-22 09:52

[quote=Flatlander;219436]Reserving S636. (For sieving and testing.)[/quote]

I assume you mean the 1k on R636 since S636 is already proven.

 MyDogBuster 2010-06-22 10:05

[quote]I like the 1kers. They are great. I like the idea, originally suggested by Mark, of having one big PRPnet server where we continually load in new sieved files for new 1k bases. (We could even have 2 or 3 PRPnet servers where one has 1k bases, another has 2k's thru 5k's remaining bases, etc.) My current thinking is to sieve all unreserved 1k bases <=250 that are at n=100K, which there are now a lot of because Max and I have been working towards that on both sides (mostly Max in the last 2 months). We have 3 to go. But before we can begin sieving all of them from n=100K, we need to test some 2k and 3k bases that are at n<=100K to see if we can add some more 1k bases. I think Max has in mind to do those next. If not, I will. So it will be a little while yet. The idea is to maximize the # of 1k bases that we have at n=100K.[/quote]I like them too. As usual, I'm concentrating on the higher end of the spectrum. I'm working the bases > 250 trying to get them to n=100K. I realized my strategy of doing them to n=50K and then to 100K was a logistical nightmare so I'll start doing them from n=25K to 100K. Meet you guys somewhere in the middle.

I also have those 12 bases < 250 (actually 1 is S252) that I'm taking to n=200K. 9 of those have 1k left. 2 have 3 k's remaining and the last has 2k's. I should have those finished in < 2 months.

 Flatlander 2010-06-22 12:36

[QUOTE=gd_barnes;219477]I assume you mean the 1k on R636 since S636 is already proven.[/QUOTE]
Yes, sorry.

 rogue 2010-06-22 12:37

More Results

Riesel base 872 primes found:

[code]
2*872^6036-1
3*872^2-1
4*872^3-1
5*872^14-1
6*872^1-1
7*872^9-1
8*872^2-1
9*872^39-1
10*872^1-1
12*872^1-1
13*872^31-1
15*872^8-1
17*872^2-1
18*872^12-1
19*872^1-1
20*872^40-1
21*872^1-1
22*872^1-1
23*872^32-1
24*872^57-1
25*872^1-1
26*872^2-1
28*872^3-1
29*872^80-1
30*872^297-1
31*872^1-1
32*872^12532-1
33*872^16-1
34*872^3-1
35*872^2-1
36*872^1-1
39*872^3-1
41*872^2-1
42*872^2-1
45*872^1-1
46*872^1-1
47*872^2-1
48*872^7-1
49*872^1-1
50*872^2-1
51*872^3-1
52*872^1-1
54*872^1-1
55*872^3-1
56*872^2-1
57*872^2-1
58*872^3-1
59*872^32-1
60*872^4-1
61*872^3-1
62*872^4-1
63*872^896-1
64*872^1-1
65*872^2-1
67*872^11949-1
69*872^1-1
70*872^9-1
71*872^14-1
72*872^2-1
73*872^7-1
74*872^4-1
75*872^5-1
76*872^1-1
77*872^2-1
78*872^19-1
80*872^8-1
81*872^9-1
82*872^1-1
83*872^20-1
84*872^13-1
85*872^7-1
87*872^97-1
88*872^15-1
89*872^128-1
90*872^1-1
94*872^1-1
96*872^2234-1
97*872^21-1
[/code]

k=11, 16, 37, 38, 43, 44, 86, 91, 93, 95 remain at n=25000. Released.

Riesel base 528 primes found:

[code]
2*528^2-1
3*528^1-1
4*528^1-1
5*528^2-1
6*528^1-1
7*528^15-1
8*528^4-1
9*528^1-1
10*528^1-1
11*528^1-1
12*528^3-1
13*528^1-1
14*528^9-1
15*528^1-1
16*528^1-1
17*528^2-1
19*528^8-1
20*528^1-1
21*528^1-1
22*528^154-1
23*528^1-1
24*528^1-1
25*528^5-1
26*528^83-1
27*528^23-1
28*528^1-1
29*528^21-1
30*528^3-1
31*528^2-1
33*528^2-1
34*528^3644-1
36*528^3-1
37*528^19-1
38*528^1-1
39*528^9-1
40*528^9-1
41*528^1-1
42*528^16-1
43*528^5-1
44*528^3-1
45*528^1486-1
46*528^7-1
[/code]

Proven.

Riesel base 563 primes found:

[code]
2*563^2-1
4*563^1-1
6*563^5-1
8*563^2-1
10*563^3-1
12*563^24-1
14*563^68-1
16*563^1-1
18*563^1-1
20*563^16012-1
22*563^23-1
24*563^33-1
26*563^1714-1
30*563^1-1
32*563^4-1
34*563^1-1
36*563^3-1
38*563^8-1
40*563^15-1
42*563^3-1
44*563^264-1
[/code]

k-28 remains at n=25000. Released.

Riesel base 582 primes found:

[code]
2*582^1-1
3*582^444-1
4*582^5841-1
5*582^1-1
6*582^1-1
7*582^1-1
9*582^1-1
10*582^360-1
11*582^2-1
12*582^1-1
13*582^2-1
14*582^1-1
16*582^1-1
17*582^204-1
18*582^2-1
19*582^1-1
20*582^2-1
21*582^2-1
23*582^199-1
24*582^1-1
25*582^1-1
26*582^1-1
27*582^1088-1
28*582^24-1
30*582^14-1
31*582^1-1
32*582^2-1
33*582^1847-1
34*582^221-1
35*582^1-1
37*582^4-1
38*582^2-1
39*582^1-1
40*582^1-1
41*582^2-1
42*582^1-1
44*582^208-1
45*582^1-1
46*582^2-1
47*582^4-1
48*582^15-1
49*582^1-1
51*582^5-1
53*582^290-1
[/code]

k-52 remains at n=25000. Released.

Siepinski base 582 primes found:

[code]
2*582^7+1
3*582^1+1
4*582^299+1
5*582^2+1
7*582^8+1
8*582^1+1
9*582^23+1
10*582^1+1
11*582^23+1
12*582^334+1
14*582^2+1
15*582^1+1
16*582^19+1
17*582^7+1
18*582^1+1
19*582^1+1
21*582^75+1
22*582^4+1
23*582^4+1
24*582^3+1
25*582^1+1
26*582^3+1
28*582^5+1
29*582^1+1
30*582^9+1
31*582^1+1
33*582^1+1
35*582^5+1
36*582^3+1
37*582^10+1
38*582^106+1
39*582^1+1
40*582^2+1
42*582^2+1
43*582^5+1
44*582^1+1
45*582^2+1
46*582^3+1
47*582^4+1
49*582^3+1
50*582^1+1
51*582^1+1
52*582^1567+1
53*582^26+1
[/code]

k=32 remains at n=25000. Released.

 rogue 2010-06-22 12:38

And yet more results

Riesel base 615 primes found:

[code]
2*615^1-1
4*615^1-1
6*615^2-1
8*615^1-1
10*615^2-1
14*615^1-1
16*615^1-1
18*615^1-1
20*615^2-1
24*615^1-1
26*615^3-1
28*615^2-1
30*615^2-1
32*615^4-1
[/code]

k=12 and 22 remain at n=25000. Released.

Sierpinski base 688 primes found:

[code]
3*688^14+1
4*688^1+1
6*688^1+1
7*688^1+1
9*688^2+1
10*688^2+1
12*688^2433+1
13*688^19+1
15*688^1+1
16*688^3+1
18*688^3+1
19*688^106+1
21*688^1+1
22*688^1+1
24*688^405+1
25*688^1999+1
27*688^4+1
28*688^2+1
30*688^1+1
31*688^3+1
33*688^3+1
34*688^2+1
36*688^5+1
37*688^1+1
39*688^1+1
40*688^754+1
42*688^60+1
43*688^6+1
45*688^2+1
46*688^1+1
48*688^10+1
49*688^1+1
51*688^1+1
52*688^21+1
55*688^2+1
57*688^1+1
58*688^26+1
60*688^1+1
61*688^1+1
63*688^11+1
64*688^1949+1
66*688^60+1
69*688^5+1
70*688^3+1
72*688^1+1
73*688^38+1
75*688^3+1
76*688^1+1
78*688^2+1
79*688^14+1
81*688^15+1
82*688^1+1
84*688^1+1
85*688^1+1
87*688^8+1
88*688^158+1
90*688^95+1
91*688^49+1
93*688^2+1
94*688^5+1
96*688^232+1
97*688^2+1
99*688^1+1
100*688^7+1
102*688^1+1
[/code]

k=54, 67, and 103 remain at n=25000. Released.

Riesel base 866 primes found:

[code]
2*866^78-1
3*866^2-1
4*866^1-1
5*866^14-1
7*866^7227-1
9*866^1-1
10*866^2193-1
12*866^1-1
13*866^1-1
14*866^18-1
15*866^2-1
17*866^6-1
18*866^55-1
19*866^1-1
20*866^12734-1
22*866^1-1
23*866^244-1
24*866^77-1
25*866^1-1
27*866^29-1
28*866^1-1
29*866^4-1
30*866^16-1
32*866^8-1
33*866^2-1
34*866^1-1
[/code]

k=8 remains at n=25000. Released.

Sierspinski base 983 primes found:

[code]
2*983^5+1
4*983^2+1
6*983^20+1
10*983^6+1
12*983^141+1
14*983^1+1
16*983^22248+1
18*983^6+1
20*983^1+1
22*983^442+1
24*983^1+1
26*983^673+1
28*983^2+1
30*983^17+1
32*983^69+1
34*983^2+1
36*983^11+1
38*983^7+1
[/code]

k=8 remains at n=25000. Released.

 MyDogBuster 2010-06-22 22:47

Sierp 758

Sierp 758 the last k (8*758^n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 MyDogBuster 2010-06-22 22:50

Sierp 781

Sierp 781 the last k (370*781^n+1) tested n=25K-50K. Nothing found

Results attached - Base released

 MyDogBuster 2010-06-23 00:10

Reserving R527, R548, R549, R557 and R563 to n=100K sieving and testing

 gd_barnes 2010-06-23 09:53

OK, guys I'm back in town now and will have much more time to update things.

Of course that means that the work will slow down. It only gets super heavy when I'm gone. :smile:

 unconnected 2010-06-23 10:35

1 Attachment(s)
Riesel base 666 results. 1 prime was previously reported, 1k remainng.

 Flatlander 2010-06-23 16:44

Reserving R628.

 MyDogBuster 2010-06-23 22:28

Riesel 1025

Riesel 1025 tested from n=45.9K to n=50K.
No reservation, just getting n to a nice round number.
Nothing found. Results attached. Base released

More house cleaning. Reserving S461 from n=75.7K to n=100K.

 gd_barnes 2010-06-24 09:55

S518 is complete to n=25K; 4 primes found for n=5K-25K; 7 k's remaining; base released.

 rogue 2010-06-25 11:56

Results

Riesel base 737 primes found:

[code]
2*737^352-1
4*737^153-1
6*737^1-1
8*737^2-1
10*737^1-1
12*737^32-1
18*737^15-1
20*737^2-1
28*737^20591-1
30*737^1-1
32*737^128-1
34*737^1-1
36*737^17-1
38*737^8-1
[/code]

k=14, 16, 22, and 26 remain at n=25000. Released

Sierpinski base 737 primes found:

[code]
2*737^3+1
6*737^1+1
8*737^1+1
10*737^2+1
12*737^7+1
14*737^13+1
16*737^7132+1
18*737^1+1
20*737^1+1
24*737^11+1
26*737^1+1
28*737^10+1
30*737^1+1
32*737^11+1
34*737^2+1
36*737^5+1
[/code]

k=4 and 38 remain at n=25000. Released

Riesel base 773 primes found:

[code]
2*773^96-1
4*773^3-1
6*773^1-1
8*773^4-1
10*773^85-1
12*773^424-1
14*773^8-1
16*773^29-1
18*773^1-1
20*773^12-1
22*773^7-1
24*773^172-1
26*773^110-1
28*773^5-1
30*773^1-1
32*773^16-1
34*773^14471-1
36*773^1-1
40*773^5-1
42*773^2-1
[/code]

k=38 remain at n=25000. Released

Sierpinski base 773 primes found:

[code]
4*773^2+1
6*773^1+1
12*773^1+1
14*773^199+1
18*773^98+1
20*773^1+1
22*773^4+1
24*773^1+1
26*773^3+1
28*773^230+1
30*773^6+1
36*773^2119+1
38*773^27+1
40*773^8+1
42*773^1+1
[/code]

k=2, 8, 10, 16, 32, and 34 remain at n=25000. Released. Note that many of these k have a really low weight, so this conjecture will probably be very difficult to prove.

Riesel base 832 primes found:

[code]
2*832^1-1
3*832^19-1
5*832^1-1
6*832^6-1
8*832^127-1
9*832^1-1
11*832^1-1
12*832^2-1
14*832^9-1
15*832^1-1
17*832^1-1
18*832^15-1
20*832^8944-1
21*832^1-1
23*832^2-1
24*832^4-1
26*832^22-1
27*832^2-1
29*832^7-1
30*832^6-1
32*832^2-1
33*832^10-1
36*832^183-1
38*832^2-1
39*832^7-1
41*832^18-1
42*832^13-1
44*832^1-1
45*832^5-1
47*832^1-1
48*832^12-1
[/code]

k=35 remains at n=25000. Released.

 rogue 2010-06-25 12:03

More Results

Sierpinski base 844 primes found:

[code]
3*844^3+1
4*844^13+1
6*844^14+1
7*844^2+1
9*844^9687+1
10*844^27+1
12*844^3+1
13*844^1+1
15*844^8+1
16*844^4+1
18*844^1+1
19*844^11+1
21*844^2+1
22*844^7+1
24*844^7+1
25*844^1+1
27*844^58+1
28*844^1+1
30*844^1+1
31*844^378+1
33*844^2+1
34*844^1+1
36*844^28+1
37*844^3+1
39*844^1+1
42*844^1+1
43*844^1+1
45*844^304+1
46*844^10+1
48*844^2+1
49*844^1+1
[/code]

Conjecture proven.

Sierpinski base 845 primes found:

[code]
2*845^877+1
4*845^1646+1
6*845^325+1
8*845^1+1
10*845^2+1
12*845^1+1
14*845^1+1
16*845^28+1
18*845^4+1
20*845^1+1
22*845^2+1
24*845^15+1
26*845^11+1
28*845^2+1
30*845^3+1
32*845^17+1
36*845^41+1
38*845^3+1
40*845^2952+1
42*845^1+1
44*845^1+1
[/code]

k=34 remains at n=25000. Released.

Riesel base 846 primes found:

[code]
2*846^4-1
3*846^5-1
4*846^3319-1
5*846^1-1
7*846^7-1
8*846^35-1
9*846^9-1
10*846^12780-1
12*846^1-1
13*846^356-1
15*846^1-1
17*846^2-1
18*846^1-1
19*846^1-1
20*846^8-1
22*846^5-1
23*846^1-1
24*846^2-1
25*846^1-1
28*846^1-1
29*846^1-1
30*846^2-1
32*846^22-1
33*846^1-1
[/code]

Conjecture proven.

Riesel base 951 primes found:

[code]
2*951^1-1
4*951^1-1
8*951^1-1
10*951^21-1
12*951^1-1
14*951^1-1
18*951^1-1
22*951^1-1
24*951^3-1
28*951^1-1
30*951^3-1
32*951^1-1
38*951^1-1
40*951^1-1
42*951^4-1
44*951^1-1
48*951^6-1
[/code]

k=34 remains at n=25000. Released

Sierpinski base 951 primes found:

[code]
2*951^2+1
6*951^3+1
8*951^2+1
10*951^1+1
12*951^32+1
16*951^1+1
20*951^377+1
22*951^4+1
26*951^11+1
28*951^2+1
30*951^46+1
32*951^4+1
36*951^6892+1
38*951^8+1
40*951^3+1
42*951^1525+1
46*951^2+1
48*951^145+1
[/code]

Conjecture proven.

Sierpinski base 953 primes found:

[code]
2*953^1+1
4*953^18+1
10*953^2+1
12*953^1+1
18*953^3+1
22*953^2050+1
24*953^10+1
26*953^7+1
28*953^6+1
30*953^1+1
32*953^1+1
36*953^8+1
38*953^11+1
40*953^232+1
42*953^2+1
44*953^5845+1
46*953^844+1
[/code]

k=8 and 14 remain at n=25000. Released

I don't think I have any other small conjectures reserved. Please let me know if I do.

 MyDogBuster 2010-06-25 12:47

[QUOTE]I don't think I have any other small conjectures reserved. Please let me know if I do. [/QUOTE]

All looks fine too me.

 rogue 2010-06-25 13:27

[QUOTE=MyDogBuster;219856]All looks fine too me.[/QUOTE]

I am still working on S136 and R136 and a range from S63. The S63 range should be done early next week. S136 and R136 are at n=15000 and climbing.

 MyDogBuster 2010-06-25 20:10

[QUOTE]Sierpinski base 844 primes found:

Code:
3*844^3+1
4*844^13+1
6*844^14+1
7*844^2+1
9*844^9687+1
10*844^27+1
12*844^3+1
13*844^1+1
15*844^8+1
16*844^4+1
18*844^1+1
19*844^11+1
21*844^2+1
22*844^7+1
24*844^7+1
25*844^1+1
27*844^58+1
28*844^1+1
30*844^1+1
31*844^378+1
33*844^2+1
34*844^1+1
36*844^28+1
37*844^3+1
39*844^1+1
42*844^1+1
43*844^1+1
45*844^304+1
46*844^10+1
48*844^2+1
49*844^1+1
Conjecture proven.[/QUOTE]

Mark, when processing S844, I show that k=40 is not accounted for. It's is not trivially prime. Any ideas?

 rogue 2010-06-25 21:14

[QUOTE=MyDogBuster;219891]Mark, when processing S844, I show that k=40 is not accounted for. It's is not trivially prime. Any ideas?[/QUOTE]

I missed putting that into the post. No primes below n=25000. Thanks for the catch.

 Flatlander 2010-06-27 19:04

1 Attachment(s)
R636 tested to 50k and released.

 paleseptember 2010-06-28 04:39

I'm taking R603 to n=25K, and checked in on the pfgw.out file and pfgw.log files. pfgw.out hasn't been updated in about a fortnight, and despite pfgw grinding through the file, no results are being recorded.

The pfgw.out file is 4,060,606 bytes (I have no idea if there is a maximum filesize, after which is chokes.) I have stopped and restarted, moved the pfgw.out file away in an attempt to get it to start a new file afresh, to no effect.

So, should I go back and start fresh from the last line recorded in the pfgw.out file, or trust that it will have recorded the prps to pfgw.log. (There are primes in that file that are past the cutoff from pfgw.out.)

EDIT: I have stopped and restarted, and it appears to be happy again. However, I'm now missing residues and results for approx n=17K to n=21K. Should I re-run that segment?

 gd_barnes 2010-06-28 07:02

[quote=paleseptember;220023]So, should I go back and start fresh from the last line recorded in the pfgw.out file, or trust that it will have recorded the prps to pfgw.log. (There are primes in that file that are past the cutoff from pfgw.out.)

EDIT: I have stopped and restarted, and it appears to be happy again. However, I'm now missing residues and results for approx n=17K to n=21K. Should I re-run that segment?[/quote]

Very odd. I wonder if it is a hard drive problem. I would suggest backing up all your files before doing much more on the machine.

I would definitely rerun that range. There could have been some primes in there. If it wasn't writing to pfgw.out then it might not have written a prime to pfgw.log.

Rerun it by making a copy of your sieve file, change it to a different name, and remove the lines at the beginning that are already processed. Keep in mind that it won't remember which k's had primes. To have it not process those, you can do 1 of these 2 things:

1. Use srfile to remove the primed k's from the copied sieve file.
2. Manually write all the primes at the beginning of your copied sieve file. It will find them prime again and so won't search the k's anymore. You'll just need to remove the duplicated primes from pfgw.log when you are done.

I find it easier to do #2, especially if the sieve file is big or there are a lot of primes.

Gary

 henryzz 2010-06-28 08:15

Is your filesystem FAT32? I believe that there is a 4Gb file size limit there. Change to NTFS and the problem would be solved.

 gd_barnes 2010-06-28 09:06

[quote=henryzz;220041]Is your filesystem FAT32? I believe that there is a 4Gb file size limit there. Change to NTFS and the problem would be solved.[/quote]

His file is only 4 MB not 4 GB.

 gd_barnes 2010-06-28 09:37

Reserving S579 and S875 to n=25K.

 rogue 2010-06-28 12:03

I'm taking R603 to n=25K, and checked in on the pfgw.out file and pfgw.log files. pfgw.out hasn't been updated in about a fortnight, and despite pfgw grinding through the file, no results are being recorded.

The pfgw.out file is 4,060,606 bytes (I have no idea if there is a maximum filesize, after which is chokes.) I have stopped and restarted, moved the pfgw.out file away in an attempt to get it to start a new file afresh, to no effect.

So, should I go back and start fresh from the last line recorded in the pfgw.out file, or trust that it will have recorded the prps to pfgw.log. (There are primes in that file that are past the cutoff from pfgw.out.)

EDIT: I have stopped and restarted, and it appears to be happy again. However, I'm now missing residues and results for approx n=17K to n=21K. Should I re-run that segment?[/QUOTE]

Are you using the -l switch when running PFGW?

 paleseptember 2010-06-28 12:43

Working with Mathew Steine, I moved the pfgw.out file away completely, and told it to restart, which worked this time.

Rogue: I think I was running -f0 -l switches, but I could be mistaken. That's my standard MO, but I've been known to do daft things previously.

I'll return to n=17K (ish), and start from there again. Bah! Two weeks wasted effort :P

Thanks for the suggestions Gary, Rogue, Henryzzz (and Mathew via PMs)

 gd_barnes 2010-06-29 02:13

Reserving R686, R783, S767, and S789 to n=25K.

I'm working on several bases that have k=4 remaining at n=5000, kind of like I did for k=2 a couple of years ago.

 Flatlander 2010-06-29 20:36

1 Attachment(s)
R628 tested to 50k. Releasing.

 gd_barnes 2010-06-30 18:46

S579 is complete to n=25K; no primes for n=5K-25K; only k=4 and 6 remaining; largest prime 78*579^528+1; base released.

S875 is complete to n=25K; no primes for n=5K-25K; only k=4 and 38 remaining; largest prime 46*875^250+1; base released.

 kar_bon 2010-07-02 23:14

R1019, k=2 at n=140k (about 421,000 digits), no prime, continuing

 MyDogBuster 2010-07-03 19:49

Reserving the following 1ker's to n=100K

S574, S582, S605, S626

 Batalov 2010-07-05 20:19

Reserving S501 to n=25K.

 Batalov 2010-07-06 21:17

[quote=Batalov;220644]Reserving S501 to n=25K.[/quote]
Done. [URL="http://mersenneforum.org/showpost.php?p=220700&postcount=490"]Results[/URL] zipped with others.

 gd_barnes 2010-07-06 22:50

S544 with CK=64 is proven. Highest prime 9*544^4705+1.

 Batalov 2010-07-08 19:17

1 Attachment(s)
S505 is proven.

 MyDogBuster 2010-07-09 04:17

Riesel 527

4*527^46073-1 is prime

Conjecture Proven - Results emailed

 MyDogBuster 2010-07-10 16:16

Riesel 548

Riesel 548, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

 MyDogBuster 2010-07-11 05:48

Riesel 549

Riesel 549, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

 gd_barnes 2010-07-11 08:34

Serge reported in an Email:

R1001 is complete to n=25.4K; 12 primes found for n=2.5K-25K; 8 k's remaining; base released.

 gd_barnes 2010-07-11 10:36

R686 is complete to n=25K; 1 prime found for n=5K-25K; 5 k's remaining; base released.
R783 is complete to n=25K; 5 primes found for n=5K-25K; 3 k's remaining; base released.
S767 is complete to n=25K; 1 prime found for n=5K-25K; 5 k's remaining; base released.
S789 is complete to n=25K; 2 primes found for n=5K-25K; 5 k's remaining; base released.

 MyDogBuster 2010-07-11 17:08

Reserving the following 1ker's to n=100K

R566, R581, R582, R597, R608

 gd_barnes 2010-07-12 01:00

I'm trying to even the two sides out a little more:

Reserving S530, S707, S731, and S870 to n=25K.

 Batalov 2010-07-12 02:57

1 Attachment(s)
Another one bites the dust. R1011 is proven... Base released. :rolleyes:

 MyDogBuster 2010-07-13 01:13

Riesel 563

Riesel 563, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

 gd_barnes 2010-07-13 01:30

[quote=Batalov;221114]Another one bites the dust. R1011 is proven... Base released. :rolleyes:[/quote]

Nice. That proves both sides of base 1011 with a conjecture of 208. That's the highest proven conjecture for bases > 811 on the Riesel side and for bases > 666 on the Sierp side.

 MyDogBuster 2010-07-14 23:49

Sierp 574

Sierp 574, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

 gd_barnes 2010-07-15 06:14

S530 is complete to n=25K; 3 k's remaining; base released.
S707 is complete to n=25K; only k=26 & 40 remaining; base released.
S731 is complete to n=25K; only k=28 remaining; base released.
S870 is complete to n=25K; only k=38 remaining; base released.

No primes found for n=5K-25K for any of the bases. :-(

 gd_barnes 2010-07-15 08:51

I've done some small-conjecture testing on some bases that had 1 or 2 k's remaining at n=5K the last 2-3 days. Here is what was done:

R533 with CK=88 has only k=74 remaining; highest prime 56*533^898-1
S528 with CK=116 is proven; highest prime 64*528^10186+1
S550 with CK=115 has only k=94 remaining; highest prime 75*550^5841+1
S701 with CK=92 has only k=52 remaining; highest prime 12*701^969+1

Note the mostly extremely small highest primes. Only 2 primes were found for all 6 bases for n=5K-25K including 2 bases in the 251-500 thread. That's 2 primes found in that range for the last 10 bases that I have tested. :-( Oh well, a lot more 1kers for Ian! :-)

All have been tested to n=25K or until proven and are released.

[B]New reservations:[/B]
[B]R530 & S552 to n=25K.[/B]

 gd_barnes 2010-07-15 23:11

S552 with CK=78 is proven; highest prime 26*552^22956+1

R805 with CK=92 is proven; highest prime 90*805^2212-1

After finding only a total of two n=5K-25K primes in 10 bases with this small effort that I've been working on, S552 had 2 primes n>5K itself for the proof.

On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.

I'm clearing out a little bit of fluff and evening up the sides a little before going out of town next week.

 rogue 2010-07-16 00:14

[QUOTE=gd_barnes;221530]
On R805, I was surprised that there were any bases left with CK<100 that could be proven by n=2500. I can now say that there are none left that can be proven by n=1K. Some of them I'm taking to n=5K and will reserve if they have <= 2 k's remaining at that point.[/QUOTE]

When I knocked out a bunch a few weeks ago I had only gone to n=2000. I just missed this one (and a couple of others with lower conjectured k).

 MyDogBuster 2010-07-16 18:44

Sierp 582

Sierp 582, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

Reserving more 1k's to n=100K:

S635, S643, S650, S677, S679

 gd_barnes 2010-07-16 21:25

Reserving S619, S622, S669, and R875 to n=25K.

All have either 1 or 2 k's remaining at n=5K so I'll probably have more 1kers to add later on. :smile:

This will officially finish testing all CK<100 bases that have either 1 or 2 k's remaining at n=1K. There are quite a few that have 3 remaining at n=1K that could easily drop to 1 or 2 remaining by n=5K or even be lucky enough to be proven. But this effort just takes too much admin effort so I won't be testing many of those and may not test any at all.

 Batalov 2010-07-17 20:02

Reserving S510, R510 and R505 to n=25K.

 Batalov 2010-07-18 04:58

1 Attachment(s)
R851, S937, and S967 are proven.

 MyDogBuster 2010-07-18 23:41

Sierp 605

Sierp 605, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

 Batalov 2010-07-19 04:21

1 Attachment(s)
S589, S709, and S916 are proven.
(Of these S589 was interesting.) :rolleyes:

 Batalov 2010-07-19 23:34

1 Attachment(s)
S526 is proven.
R510, S510 and R505 are done to 25K and released.
R416 is done to 34K and released.

 MyDogBuster 2010-07-20 01:47

Sierp 626

Sierp 626, the last k, tested n=50K-100K. Nothing found.

Results emailed. Base released

 paleseptember 2010-07-20 03:12

Riesel 731

Riesel 731
With a conjectured k=62, only k=34 remained at n=5000. Continuing to 25e3.

 Batalov 2010-07-20 03:57

Reserving S676 to n=25K.

 Batalov 2010-07-20 20:56

1 Attachment(s)
S610 and S741 are proven.

 paleseptember 2010-07-20 23:21

Riesel 731 Done, Riesel 602 reserved

1 Attachment(s)
Riesel 731 complete to n=25K, only k=34 remains. Results attached.

Reserving Riesel 602 to n=25K.

 paleseptember 2010-07-21 05:04

Sierp 928

Sierpinski base 928 is complete to n=14K. 14 primes were found:
[CODE]16899*928^13019+1
22593*928^13062+1
5151*928^13184+1
14478*928^13231+1
18078*928^13340+1
20649*928^13366+1
5221*928^13553+1
7548*928^13554+1
6871*928^13603+1
17460*928^13679+1
4528*928^13832+1
12577*928^13890+1
5779*928^13894+1
24447*928^13953+1[/CODE]
That leaves 617 k-values (I believe).
Results emailed.
Continuing.

 henryzz 2010-07-21 07:58

Reserving R588 to 25k

 MyDogBuster 2010-07-21 20:48

Riesel 566

Riesel 566, the last k, tested n=25K-100K. Nothing found.

Results emailed. Base released

 henryzz 2010-07-22 13:01

reserving R867

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