Sierp Base 829
 

Sierp Base 829
Conjectured k = 84
Covering Set =
Trivial Factors: k == 1 mod 2(2) and k == 2 mod 3(3) and k == 22 mod 23(23)

Found Primes: 26k's - File attached

Trivial Factor Eliminations: 15k's

Conjecture Proven

Sierp Base 851
 

Sierp Base 851
Conjectured k = 70
Covering Set = 3, 71
Trivial Factors k == 1 mod 2(2) and k == 4 mod 5(5) and k == 16 mod 17(17)

Found Primes: 25k's - File attached

Trivial Factor Eliminations: 9k's

Conjecture Proven

Riesel base 587, k=8
Primes:
2*587^26-1
4*587^1-1
6*587^2-1

k=8 proven composite (have factors 3 or 7)
Base proven.

Riesel bases 545 and 671
 

Primes found:

2*545^84-1
4*545^1-1
6*545^4-1

2*671^2-1
4*671^1-1

The other k have trivial factors (including 6*671^n-1). With a conjectured k of 8, these conjectures are proven.

Riesel base 566
 

I'm reserving this base. I will report results another day as this one is more stubborn than the others.

[quote=unconnected;210168]Riesel base 587, k=10
Primes:
2*587^26-1
4*587^1-1
6*587^2-1

k=8 proven composite (have factors 3 or 7)
Base proven.[/quote]

The conjecture is k=8 so it did not need to be tested.

[QUOTE=gd_barnes;210213]The conjecture is k=8 so it did not need to be tested.[/QUOTE]

Ehh, I've got an understanding problem now.. How can this one be composite, when it is the conjecture?

Edit:
Doh, forget it, sorry. Should think before posting..

Reserving Riesel 835 and Sierp 727 as new to n=25K

S503 and S545 k=8 conjectures proven and added to the pages.

Riesel Base 835
 

Riesel Base 835
Conjectured k = 56
Covering Set = 11, 19
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 139(139)

Found Primes: 18k's - File attached

Trivial Factor Eliminations: 9k's

Conjecture Proven

Sierp Base 727
 

Sierp Base 727
Conjectured k = 64
Covering Set = 7, 13
Trivial Factors k == 1 mod 2(2) and k == 2 mod 3(3) and k == 10 mod 11(11)

Found Primes: 18k's - File attached

Trivial Factor Eliminations: 13k's

Conjecture Proven