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Old 2010-01-19, 17:54   #111
MyDogBuster
 
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Default Riesel Base 544

Riesel Base 544
Conjectured k = 219
Covering Set = 5, 109
Trivial Factors k == 1 mod 3(3) and k == 1 mod 181(181)

Found Primes: 142k's File attached

Remaining k's:
9*544^n-1 <------ Proven composite by partial algebraic factors
144*544^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 73k's

Conjecture Proven

Nice high conjectured k proven

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Old 2010-01-19, 17:57   #112
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Default Riesel Base 549

Riesel Base 549
Conjectured k = 34
Covering Set = 5, 11
Trivial Factors k == 1 mod 2(2) and k == 1 mod 137(137)

Found Primes: 14k's File attached

Remaining k's: Tested to n=25K
4*549^n-1 <------ Proven composite by partial algebraic factors
6*549^n-1

Base Released

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Old 2010-01-19, 18:04   #113
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Default

Moving right along

Reserving Riesel 619,634,669,679,684,724,739,759,774,814

I see a light at the end of the tunnel.
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Old 2010-01-20, 15:46   #114
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Default Riesel Base 564

Riesel Base 564
Conjectured k = 114
Covering Set = 5, 113
Trivial Factors k == 1 mod 563(563)

Found Primes: 106k's File attached

Remaining k's: Tested to n=25K
4*564^n-1 <------ Proven composite by partial algebraic factors
9*564^n-1 <------ Proven composite by partial algebraic factors
39*564^n-1
49*564^n-1 <------ Proven composite by partial algebraic factors
64*564^n-1 <------ Proven composite by partial algebraic factors
86*564^n-1

Base Released

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Old 2010-01-20, 15:53   #115
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Default Riesel Base 574

Riesel Base 574
Conjectured k = 24
Covering Set = 5, 23
Trivial Factors k == 1 mod 3(3) and k == 1 mod 191(191)

Found Primes: 14k's File attached

Remaining k's:
9*574^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 7k's

Conjecture Proven

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Old 2010-01-20, 15:56   #116
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Default Riesel Base 579

Riesel Base 579
Conjectured k = 204
Covering Set = 5, 29
Trivial Factors k == 1 mod 2(2) and k == 1 mod 17(17)

Found Primes: 89k's File attached

Remaining k's: Tested to n=25K
4*579^n-1 <------ Proven composite by partial algebraic factors
64*579^n-1 <------ Proven composite by partial algebraic factors
104*579^n-1
106*579^n-1
114*579^n-1
144*579^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 6k's

Base Released

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Old 2010-01-20, 15:59   #117
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Default Riesel Base 604

Riesel Base 604
Conjectured k = 21
Covering Set = 5, 11
Trivial Factors k == 1 mod 3(3) and 1 mod 67(67)

Found Primes: 12k's File attached

Remaining k's:
9*604^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 6k's

Conjecture Proven

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Old 2010-01-20, 16:10   #118
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Default Riesel Base 609

Riesel Base 609
Conjectured k = 184
Covering Set = 5, 61
Trivial Factors = k == 1 mod 2(2) and k == 1 mod 119(19)

Found Primes: 83k's File attached

Remaining k's:
4*609^n-1 <------ Proven composite by partial algebraic factors
64*609^n-1 <------ Proven composite by partial algebraic factors
144*609^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 5k's

Conjecture Proven

Another nice high CK base proven

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Old 2010-01-20, 16:21   #119
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Default Riesel Base 619

Riesel Base 619
Conjectured k = 216
Covering Set = 5, 31
Trivial Factors k == 1 mod 2(2)andk == 1 mod 3(3) and k == 1 mod 103(103)

Found Primes: 66k's File attached

Remaining k's: Tested to n=25K
6*619^n-1
138*619^n-1
144*619^n-1 <------ Proven composite by partial algebraic factors
206*619^n-1

Trivial Factor Eliminations: 37k's

Base Released

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Old 2010-01-21, 14:41   #120
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Default Riesel Base 634

Riesel Base 634
Conjectured k = 126
Covering Set = 5, 127
Trivial Factors k == 1 mod 3(3) and k == 1 mod 211(211)

Found Primes: 80k's File attached

Remaining k's: Tested to n=25K
9*634^n-1 <------ Proven composite by partial algebraic factors
20*634^n-1
29*634^n-1

Trivial Factor Eliminations: 41k's

Base Released

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Old 2010-01-21, 14:44   #121
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Default Riesel Base 669

Riesel Base 669
Conjectured k = 66
Covering Set = 5, 67
Trivial Factors k == 1 mod 2(2) and k == 1 mod 167(167)

Found Primes: 30k's File attached

Remaining k's:
4*669^n-1 <------ Proven composite by partial algebraic factors
64*669^n-1 <------ Proven composite by partial algebraic factors

Conjecture Proven

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