Bases 501-1030 reservations/statuses/primes

[gd_barnes]

Originally Posted by henryzz

I was sort of planning to stop there anyway although I would like to leave a good sieve file for the next person. Testing is getting too slow now.

OK, great. Thanks for running a sieve file to n=100K. Testing such a large base to n=100K could give some pretty big top-5000 primes.

[Mini-Geek]

Reserving Riesel base 605 (conj. k is 100).

[MyDogBuster]

BTW all, If a Riesel base ends in 4 or 9 and shows as not being started(ie 604, 609, 774, 819) then I have probably completed it. Those are the algebraic factors I'm working on. Gary doesn't want me to reserve more than 3 at a time so that I don't swamp him with updates.

Hey Gary, only about 45 to go and they are all tested to n=25K.

[gd_barnes]

Originally Posted by MyDogBuster

BTW all, If a Riesel base ends in 4 or 9 and shows as not being started(ie 604, 609, 774, 819) then I have probably completed it. Those are the algebraic factors I'm working on. Gary doesn't want me to reserve more than 3 at a time so that I don't swamp him with updates.

Hey Gary, only about 45 to go and they are all tested to n=25K.

I'm well caught up. Go ahead and reserve 10 at a time and post them 10 at a time if you want. Since that many updates will only last about a week, I should be able to keep up.

[Mini-Geek]

Riesel Base 605
Conjectured k = 100

Found Primes:

2*605^188-1
4*605^3-1
6*605^2-1
8*605^4-1
10*605^2379-1
12*605^3-1
14*605^2-1
16*605^1-1
18*605^1-1
20*605^28-1
22*605^1-1
24*605^1-1
26*605^4-1
28*605^9-1
30*605^1-1
32*605^4-1
34*605^163-1
36*605^5-1
38*605^1598-1
40*605^3-1
42*605^1-1
44*605^3210-1
46*605^19-1
48*605^4-1
50*605^1910-1
52*605^13569-1
54*605^3-1
56*605^6-1
58*605^1-1
60*605^1-1
62*605^2-1
64*605^205-1
66*605^1-1
68*605^36-1
70*605^1-1
72*605^15-1
74*605^5268-1
76*605^1-1
78*605^1-1
80*605^322-1
82*605^27-1
84*605^63-1
86*605^7788-1
88*605^1-1
90*605^1-1
92*605^2-1
94*605^49-1
96*605^12-1
98*605^66-1

Conjecture Proven

[MyDogBuster]

More algebraic factors

Reserving Riesel bases 514, 534, 544, 549, 564, 574, 579, 604 & 609

[kar_bon]

2*1019^n-1 at n=100k, no prime yet, continuing

[KEP]

Reserving Sierp base 955, to help get another one of the untested list

KEP!

[gd_barnes]

I'm filling in some holes in Batalov's reservations from November. Some of these had higher primes reported but no lower primes. Some had only k's remaining reported with no primes. Details are now shown on the web pages.

S1002: Previously reported as 10 k's remaining at n=9.8K with no primes posted. Started from scratch, filled in all primes, found 1 more prime for n=9.8K-25K, 9 k's remaining at n=25K. Released back to Batalov, who didn't specify if he wanted it any higher.

Serge, if you see this, are you planning any more work on all of your November reservations? If so, I need all primes so I don't have to do double work. Thanks.


Gary

[MyDogBuster]

Riesel Base 514
Conjectured k = 104
Covering Set = 5, 103
Trivial Factors k == 1 mod 3(3) and k == 1 mod 19(19)

Found Primes: 62k's File attached

Remaining k's: Tested to n=25K
9*514^n-1 <------ Proven composite by partial algebraic factors
30*514^n-1

Trivial Factor Eliminations: 38k's

Base Released

[MyDogBuster]

Riesel Base 534
Conjectured k = 106
Covering Set = 5, 107
Trivial Factors k == 1 mod 13(13) and k == 1 mod 41(41)

Found Primes: 86k's File attached

Remaining k's: Tested to n=25K
4*534^n-1 <------ Proven composite by partial algebraic factors
9*534^n-1 <------ Proven composite by partial algebraic factors
11*534^n-1
29*534^n-1
46*534^n-1
49*534^n-1 <------ Proven composite by partial algebraic factors
59*534^n-1
64*534^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 10k's

Base Released