[quote=appeldorff;197263]An update on my Sierp255 reservation:

I am currently at the halfway mark (n=15000). 208 primes found and proven so far. I've attached them to this post.

Also, it appears there is a small typo regarding Sierp base 255. It says there are 547 k's remaining yet there are 548 k's listed.

208 down, 340 to go[/quote]

Thanks for the primes. Nice progress! :smile: Technically you're closer to 1/4th done due to the increased testing times for n=15K-25K...just thought I'd give you an idea of what is left.

My apologies for the mistake on the pages. In doing a rebalancing with k's to search vs. k's remaining, it appears that the # of k's remaining at n=5100 is correct. I accidently left one k remaining that should have been removed; k=87036. 87036*255^4784+1 is prime.

You can remove k=87036 from your testing. I checked your primes file for a prime for k=87036 and there was none. This means that there are 339 k's remaining at n=15K.


Gary

I'll take Riesel base 298 (5 k's) from 10K to 25K. I'll sieve n=10K through 100K to my optimal depth for 25K (300G) and post that sieve file now, (should only take a day or so) but probably wait until I'm done with Riesel base 24 to start the PFGW work.

[quote=Mini-Geek;197907]I'll take Riesel base 298 (5 k's) from 10K to 25K. I'll sieve n=10K through 100K to my optimal depth for 25K (300G) and post that sieve file now, (should only take a day or so)[/quote]
Sieve file attached. (NewPGen format)

[quote=Mini-Geek;197907]I'll take Riesel base 298 (5 k's) from 10K to 25K. ... but probably wait until I'm done with Riesel base 24 to start the PFGW work.[/quote]
I changed my mind and finished it to n=25K. :smile:
One prime: (verified)
[code]30*298^10338-1[/code]The results for 10K-25K and a new sieve file with k=30 and n=10K-25K removed (i.e. now it's the four remaining k's from 25K-100K sieved to 300G) are attached.

Reserving and starting Sierp base 300 (conj. k is 85) to n=2500.

Sierpinski Base 300
Conjectured k = 85

Found Primes:[code]2*300^1+1
3*300^2+1
4*300^1+1
5*300^2+1
6*300^1+1
7*300^5+1
8*300^26+1
9*300^20+1
10*300^1+1
11*300^1+1
13*300^5+1
14*300^1+1
15*300^2+1
16*300^1+1
17*300^1+1
18*300^2+1
19*300^1+1
20*300^11+1
21*300^1+1
23*300^3+1
24*300^2+1
26*300^2+1
27*300^1+1
28*300^44+1
29*300^672+1
30*300^1+1
31*300^2+1
32*300^1+1
33*300^1+1
34*300^13+1
35*300^1+1
36*300^24+1
37*300^4+1
39*300^1+1
40*300^2+1
41*300^1+1
42*300^1+1
43*300^2+1
44*300^8+1
46*300^2+1
47*300^6+1
48*300^1+1
49*300^25+1
50*300^146+1
52*300^1+1
53*300^1+1
54*300^8+1
55*300^2251+1
56*300^3+1
57*300^2+1
58*300^1+1
59*300^11+1
60*300^2+1
61*300^1+1
62*300^3+1
63*300^163+1
65*300^1+1
66*300^1+1
67*300^1+1
69*300^3+1
70*300^1+1
71*300^2+1
72*300^1+1
73*300^2+1
74*300^6+1
75*300^1+1
76*300^3+1
78*300^10+1
79*300^2+1
80*300^1+1
81*300^2+1
82*300^15+1
83*300^275+1
84*300^13+1[/code]

Trivial Factor Eliminations:
12
22
25
38
45
51
64
68
77

GFN Eliminations:
1

Conjecture Proven

Reserving Riesel base 300. I already started. k=81 alone remains at n=2500. I'll post the full statuses once I find a prime for k=81 proving the conjecture, or it gets too large and I give up on it.

[quote=Mini-Geek;198594]Reserving Riesel base 300. I already started. k=81 alone remains at n=2500. I'll post the full statuses once I find a prime for k=81 proving the conjecture, or it gets too large and I give up on it.[/quote]
Despite expecting under 1 prime in n=2500-25K, I found a prime for this at n=12793! :smile: The conjecture is now proven.

Riesel Base 300
Conjectured k = 85

Found Primes:[code]2*300^1-1
3*300^26-1
4*300^3-1
5*300^1-1
6*300^96-1
7*300^1-1
8*300^1-1
9*300^1-1
10*300^1-1
11*300^1-1
12*300^2-1
13*300^98-1
15*300^25-1
16*300^1-1
17*300^1-1
18*300^1-1
19*300^2-1
20*300^2-1
21*300^1-1
22*300^1-1
23*300^1-1
25*300^1-1
26*300^4-1
28*300^3-1
29*300^1-1
30*300^1-1
31*300^7-1
32*300^2-1
33*300^29-1
34*300^8-1
35*300^1-1
36*300^1-1
37*300^2-1
38*300^1-1
39*300^1-1
41*300^10-1
42*300^516-1
43*300^1-1
44*300^5-1
45*300^1-1
46*300^1-1
48*300^18-1
49*300^1-1
50*300^3-1
51*300^1-1
52*300^2-1
54*300^2-1
55*300^6-1
56*300^2-1
57*300^1-1
58*300^5-1
59*300^2-1
60*300^20-1
61*300^2-1
62*300^52-1
63*300^1-1
64*300^11-1
65*300^11-1
67*300^4-1
68*300^1-1
69*300^8-1
71*300^3-1
72*300^1-1
73*300^2-1
74*300^106-1
75*300^174-1
76*300^18-1
77*300^1-1
78*300^1-1
80*300^13-1
81*300^12793-1
82*300^3-1
83*300^624-1
84*300^2-1
[/code]Trivial Factor Eliminations:
1
14
24
27
40
47
53
66
70
79

Conjecture Proven

Sierp Base 300
 

Sierp Base 300
Conjectured k = 85
Covering Set = 7,43
Trivial Factors k == 12 mod 13(13) and k == 22 mod 23(23)

Found Primes: 74k's File attached

Trivial Factor Eliminations:
12
22
25
38
45
51
64
68
77

Conjecture Proven

Reserving the following bases (all new) to n=25K.

Reisel 289

Sierp 259,265,289,317,368

The above bases will all be complete in 4 days. I will report them 1 per day so Gary doesn't kill me.

Are we having fun yet?

I guess I duplicated Sierp Base 300. Nice job Tim. At least we got the same answer. Must have missed your reservation.

Sierp Base 300 officially double-checked. LOL:love: