Riesel 423
 

Riesel Base 423
Conjectured k = 1536
Covering Set = 5, 29, 53
Trivial Factors k == 1 mod 2(2) and k == 1 mod 211(211)

Found Primes: 744k's - File attached

Remaining k's: 17k's - File attached - Tested to n=25K

k=900 proven composite by partial algebraic factors

Trivial Factor Eliminations: 4k's

MOB Eliminations:
846

Base Released

riesel 260
primes:
[code]
2*260^120-1
3*260^2-1
4*260^1-1
5*260^2-1
6*260^1-1
7*260^825-1
9*260^1-1
10*260^2103-1
11*260^4-1
12*260^1-1
13*260^3-1
14*260^4-1
16*260^1-1
17*260^6-1
18*260^1-1
19*260^9-1
20*260^326-1
21*260^9-1
23*260^12-1
24*260^12-1
25*260^7-1
26*260^100-1
27*260^1-1
[/code]
trivial:
[code]
1
8
15
22
[/code]

Riesel base 281, k=328.
Primes attached.

Remaining k's:
38*281^n-1
112*281^n-1
170*281^n-1
272*281^n-1
314*281^n-1

Trivially factors: 51 k's
Base completed to 25K and released.

Riesel Base 387
 

Riesel Base 387
Conjectured k = 98
Covering Set = 5, 17, 19
Trivial Factors k == 1 mod 2(2) and k == 1 mod 193(193)

Found Primes: 48k's - File attached

Conjecture Proven

I have completed testing the remaining riesel bases 250-300 with a CK<1000 to 25k(just not posted yet cause of the limit)
if someone tests 273 and 277 to 25k then the limit on the riesel side can be increased to 300k
I will post the next base tonight(266 i think)
I am willing to continue and do the serp side from 250-300 with a CK<1000

[quote=henryzz;214134]I have completed testing the remaining riesel bases 250-300 with a CK<1000 to 25k(just not posted yet cause of the limit)
if someone tests 273 and 277 to 25k then the limit on the riesel side can be increased to 300k
I will post the next base tonight(266 i think)
I am willing to continue and do the serp side from 250-300 with a CK<1000[/quote]

Sounds great.

Riesel base 463, k=668.
Primes attached.

Remaining k's:
216*463^n-1
356*463^n-1

Trivially factors: 160 k's
Base completed to 25K and released.

Riesel base 266
 

Riesel base 266, k=88.
Primes attached.

Remaining k's:
64*266^n-1

Base completed to 25K and released.

Sierp 328
 

I, ahem, have just realised that I've been testing Riesel 328, not Sierp 328. So, starting again.

I will be extending S328 from 25K to 50K, there is one k remaining, k=27.

Riesel Base 499
 

Riesel Base 499
Conjectured k = 2354
Covering Set = 5, 13, 61
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 83(83)

Found Primes: 738k's - File attached

Remaining k's: 33k's - File attached - Tested to n=25K

k=144, 324, 1764, 2304 Proven composite by partial algebraic factors

Trivial Factor Eliminations: 401k's

Base Released

Riesel 343
 

Reserving R343 as new to n=25K