Bases 501-1030 reservations/statuses/primes

[unconnected]

Riesel base 557, k=32
Primes:
2*557^8-1
4*557^27-1
6*557^2-1
8*557^112-1
10*557^1-1
12*557^9-1
16*557^9-1
18*557^7-1
20*557^8-1
22*557^1-1
24*557^1-1
14*557^1364-1
28*557^3207-1
30*557^22290-1

1 k's remain: 26*557^n-1
Base completed to 25K and released.

[rogue]

Primes found:

2*853^4-1
6*853^234-1
8*853^1-1
12*853^244-1
14*853^1-1
18*853^6-1
20*853^2-1
24*853^3-1
26*853^6-1
30*853^1-1
32*853^2-1
36*853^1-1
38*853^1-1
42*853^94-1
44*853^19-1
48*853^68-1
50*853^1-1
54*853^1-1
56*853^6-1
60*853^26-1

The other k have trivial factors. With a conjectured k of 62, this conjecture is proven.

[MyDogBuster]

Riesel Base 694
Conjectured k = 279
Covering Set = 5, 139
Trivial Factors k == 1 mod 3(3) and k == 1 mod 7(7) and k == 1 mod 11(11)

Found Primes: 141k's - File attached

Remaining k's: 2k's - Tested to n=25K
96*694^n-1
264*694^n-1

k=9 proven composite by partial algebraic factors

Trivial Factor Eliminations: 133k's

Base Released

[unconnected]

Riesel base 743, k=32
Primes:
2*743^2-1
4*743^1-1
6*743^1-1
10*743^9-1
12*743^23-1
16*743^1-1
18*743^53-1
20*743^20-1
24*743^16-1
26*743^10-1
28*743^437-1
30*743^2-1

Trivial factors: k=8,22.
1 k's remain: 14*743^n-1

Base completed to 25K and released.

[unconnected]

Riesel base 887, k=38.
Primes:
2*887^40-1
4*887^1-1
6*887^2-1
8*887^2-1
12*887^2-1
14*887^28-1
16*887^27-1
18*887^3-1
20*887^8-1
24*887^141-1
28*887^115-1
30*887^3-1
32*887^6-1
34*887^263-1
10*887^4107-1

2k's remain:
22*887^n-1
26*887^n-1

k=36 proven composite by partial algebraic factors.

Base completed to 25K and released.

[henryzz]

serp bases 784, 785 and 788 are all tested to 50k and unreserving
results attached
to fit in the forum limit i had to compress using 7zip with customised settings(ultra wasnt good enough)
if you can't uncompress it i can reupload somewhere else

[MyDogBuster]

Reserving Riesel 526 as new to n=25K

[MyDogBuster]

Reserving Riesel Base 550 as new to n=25K

[gd_barnes]

Originally Posted by henryzz

serp bases 784, 785 and 788 are all tested to 50k and unreserving
results attached
to fit in the forum limit i had to compress using 7zip with customised settings(ultra wasnt good enough)
if you can't uncompress it i can reupload somewhere else

It doesn't appear that my laptop will download them. If I wasn't out of town, I'd look for the correct compression software and learn something about the settings but I don't have time right now.

Can you Email them to gbarnes017 at gmail dot com? That's the best way for medium and large-sized files.

Thanks.

[Batalov]

S780 done to 100K. Base released.

[unconnected]

R888 25K-50K complete, no primes.
Will continue it to 100K. Also reserving R800 to 100K.