Bases 501-1030 reservations/statuses/primes - Page 30

MyDogBuster · 2010-03-31, 05:43

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

MyDogBuster · 2010-03-31, 05:45

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

unconnected · 2010-03-31, 08:36

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.

rogue · 2010-03-31, 14:54

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.

rogue · 2010-03-31, 19:54

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

gd_barnes · 2010-03-31, 19:55

Quote:

Originally Posted by unconnected

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.

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

Xentar · 2010-03-31, 20:29

Quote:

Originally Posted by gd_barnes

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

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..

MyDogBuster · 2010-04-01, 00:18

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

gd_barnes · 2010-04-02, 05:55

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

MyDogBuster · 2010-04-02, 07:30

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

MyDogBuster · 2010-04-02, 07:31

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

2010-03-31, 05:43	#320
MyDogBuster May 2008 Wilmington, DE 5444₈ Posts	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 Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

2010-03-31, 05:45	#321
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	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 Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

2010-03-31, 08:36	#322
unconnected May 2009 Russia, Moscow 2,593 Posts	Riesel base 587, k=8 Primes: 2587^26-1 4587^1-1 6587^2-1 k=8 proven composite (have factors 3 or 7) Base proven. Last fiddled with by gd_barnes on 2010-03-31 at 19:59 Reason: correct conj 10 -> 8*

2010-03-31, 14:54	#323
rogue "Mark" Apr 2003 Between here and the 2²×7×227 Posts	Riesel bases 545 and 671 Primes found: 2545^84-1 4545^1-1 6545^4-1 2671^2-1 4671^1-1 The other k have trivial factors (including 6671^n-1). With a conjectured k of 8, these conjectures are proven. Last fiddled with by rogue on 2010-03-31 at 14:55

2010-03-31, 19:54	#324
rogue "Mark" Apr 2003 Between here and the 2²×7×227 Posts	Riesel base 566 I'm reserving this base. I will report results another day as this one is more stubborn than the others.

2010-04-01, 00:18	#327
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Reserving Riesel 835 and Sierp 727 as new to n=25K

2010-04-02, 05:55	#328
gd_barnes May 2007 Kansas; USA 3²×13×89 Posts	S503 and S545 k=8 conjectures proven and added to the pages.

2010-04-02, 07:30	#329
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	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 Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

2010-04-02, 07:31	#330
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	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 Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

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