Bases 501-1030 reservations/statuses/primes

[gd_barnes]

Originally Posted by rogue

Yes Gary, I know that I have submitted three results today and have one reservation. Fortunately none of these bases have any algebraic factorizations for you to worry about. I won't be posting any results tomorrow.

lol No prob. Weekends are my busy time. It's slow on Monday's. Almost everything will be updated here in a little while. A couple of remaining stragglers will be taken care of late afternoon.

Her's a clarification that I may not have been clear on before: I don't care how many statuses you report on existing reservations as long as I've had time to show the bases as reserved on the pages. Those are completely separate from starting new bases. I only ask that no more than 2 new bases be reserved per day. It's their initial listing on the pages that takes a while.

I could be shooting myself in the foot here. I suppose people could take that as far as they want and reserve 2 new bases per day for 10 days straight and never report a status on them. Then on day 11, report the status of the 20 total bases. Of course I wouldn't prefer that but the fact does remain that it's a lot faster if I already have a base listed and I just have to plug some primes and k's remaining into it and possibly change/remove a reservation.

Here, since you already had base 566 reserved, it looks like you had 2 new bases and a status on an existing base. That fits.

Based on this, if you have some bases right now that you know you are going to work on that have 1 or 2 or so k's remaining at some nominal limit and you have no other proven new bases for the day that you are going to post, go ahead and reserve them. Once you have them reserved and I have them listed, you can report statuses on quite a few of them at once later on. You might find that less time consuming in the long run.

I hope this clarifies for everyone. My apologies if I appeared to restrict things a lot more than I intended.

[MyDogBuster]

Reserving Riesel 889 & 894 as new to n=25K

[unconnected]

Originally Posted by gd_barnes

Unconnected,

Is your search limit n=25K on this? I assume you are releasing the base. Is that correct?


Gary

Correct. Maybe one day I'll continue my search to 50K or even 100K.

[gd_barnes]

S566 and S668 k=8 conjectures proven and added to the pages.

[Siemelink]

Hi folks,

here are the stats on Riesel base 617, i've taken it to n = 25,000, but I won't go further. k = 14, 44 are remaining.

2     2    
4     1    
6     1    
8     trivial    
10    5    
12    trivial    
14*617^n-1
16    1    
18    2    
20    2    
22    trivial    
24    9    
26    2    
28    3    
30    8    
32    8    
34    trivial    
36    trivial    
38    2110    
40    3    
42    1    
44*617^n-1
46    3    
48    2    
50    trivial    
52    1    
54    1    
56    trivial    
58    87    
60    1    
62    2    
64    trivial    
66    3    
68    2    
70    1    
72    14    
74    16    
76    3    
78    trivial    
80    1902    
82    1    
84    1    
86    2    
88    23    
90    1    
92    trivial    
94    3    
96    83    
98    2    
100   trivial    
102   2    
104   Conjecture

Willem.

[Siemelink]

Hi folks,

here are the stats on Riesel base 987. There are three k's remaining at n = 25,000, all yours now. k = 58, 94, 118

2         1    
4         1    
6         5    
8         2    
10        2    
12        2    
14        3    
16        1    
20        1    
22        1    
24        1    
26        9    
28        3    
32        1    
34        5    
36        1    
38        4    
40        9    
42        1    
44        1    
46        7    
48        4    
50        3    
54        7    
56        2    
58*987^n-1
60        1    
62        70    
64        square    
66        1    
68        10    
70        2    
72        4    
74        1    
76        1    
78        2    
80        26    
82        1    
84        7    
90        6    
92        1    
94*987^n-1
96        5035    
98        6    
100       19    
102       1    
104       1    
106       3    
108       2    
110       4    
112       1    
114       4    
116       26    
118*987^n-1
122       1    
124       1    
126       10    
128       3    
130       3    
132       2    
134       1    
136       2    
138       2    
140       1    
142       2    
144       15    
148       23    
150       24    
152       2    
156       10    
158       1988    
160       3    
162       32    
164       8    
166       1    
168       2    
170       Conjecture

Willem.

[rogue]

Primes found:
2*626^8-1
3*626^1-1
4*626^1-1
5*626^110-1
7*626^9-1
8*626^20-1
9*626^5-1

2*725^102-1
4*725^3-1
6*725^1-1
8*725^2-1

The other k have trivial factors. With a conjectured k of 10, these conjectures are proven.

[MyDogBuster]

Riesel Base 870
Conjectured k = 66
Covering Set = 13, 67
Trivial Factors k == 1 mod 11(11)m and k == 1 mod 79(79)

Found Primes: 57k's - File attached

Remaining k's:

k=25, 64 proven composite by partial algebraic factors

Trivial Factor Eliminations: 5k's

Conjecture Proven

[MyDogBuster]

Riesel Base 922
Conjectured k = 27
Covering Set = 5, 13, 73
Trivial Factors k == 1 mod 3(3) and k == 1 mod 307(307)

Found Primes: 17k's - File attached

Trivial Factor Eliminations: 8k's

Conjecture Proven

[MyDogBuster]

Reserving Riesel 754 and 883 as new to n=25K

[gd_barnes]

Originally Posted by rogue

Primes found:

489*928^11587-1
662*928^12427-1
885*928^10067-1
(etc.)

Tested to n=15000 and continuing.

Mark,

k=28257 already had a prime at n=9968. So this makes 94 k's with primes and 740 k's remaining at n=15K. Is that stop-on-prime option working correctly? :-)

Also, you might want to check your sorting. I resorted it but you had it sorted in a left to right alphanumeric sort, which caused k's like k=1234, 12345, etc. to sort before k's like k=134, 145, etc.


Gary