Bases 501-1030 reservations/statuses/primes - Page 12

MyDogBuster · 2010-01-21, 14:47

Riesel Base 679
Conjectured k = 186
Covering Set = 5, 17
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 113(113)

Found Primes: 58k's File attached

Remaining k's:
144*679^n-1 <------ Proven composite by partial algebraic factors
174*679^n-1

Trivial Factor Eliminations: 32k's

Base Released

MyDogBuster · 2010-01-21, 14:50

Riesel Base 684
Conjectured k = 46
Covering Set = 5, 29, 73
Trivial Factors k == 1 mod 683(683)

Found Primes: 41k's File attached

Remaining k's: Tested to n=25K
4*684^n-1 <------ Proven composite by partial algebraic factors
9*684^n-1 <------ Proven composite by partial algebraic factors
39*684^n-1

Base Released

MyDogBuster · 2010-01-21, 14:53

Riesel Base 724
Conjectured k = 59
Covering Set = 5, 29
Trivial Factors k == 1 mod 3(3) and k == 1 mod 241(241)

Found Primes: 36k's File attached

Remaining k's: Tested to n=25K
9*724^n-1 <------ Proven composite by partial algebraic factors
48*724^n-1

Trivial Factor Eliminations: 19k's

Base Released

MyDogBuster · 2010-01-21, 14:56

Riesel Base 739
Conjectured k = 36
Covering Set = 5, 37
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 41(41)

Found Primes: 11k's File attached

Trivial Factor Eliminations: 6k's

Conjecture Proven

MyDogBuster · 2010-01-21, 14:59

Riesel Base 759
Conjectured k = 56
Covering Set = 5, 19
Trivial Factors k == 1 mod 2(2) and k == 1 mod 379(379)

Found Primes: 25k's File attached

Remaining k's: Tested to n=25K
4*759^n-1 <------ Proven composite by partial algebraic factors
34*759^n-1

Base Released

MyDogBuster · 2010-01-21, 15:02

Reserving Riesel Bases 819, 829, 834, 849, 859, 864, 879, 919, 924, 934

gd_barnes · 2010-01-23, 07:22

Here is the split out of the applicable portion of an Email from Serge (Batalov) for the status of his bases 501-1024:

Quote:

Here's the summary:
1. grep PRP in all files. Don't miss the k=316 prime in S961. It is done to 50K.

Gary

MyDogBuster · 2010-01-23, 17:25

Riesel Base 774
Conjectured k = 61
Covering Set = 5, 31
Trivial Factors k == 1 mod 713(713)

Found Primes: 54k's File attached

Remaining k's: Tested to n=25K
4*774^n-1 <------ Proven composite by partial algebraic factors
9*774^n-1 <------ Proven composite by partial algebraic factors
25*774^n-1
30*774^n-1
49*774^n-1 <------ Proven composite by partial algebraic factors

Base Released

MyDogBuster · 2010-01-23, 17:28

Riesel Base 814
Conjectured k = 164
Covering Set = 5, 163
Trivial Factors k == 1 mod 3(3) and k = 1 mod 271(271)

Found Primes: 102k's File attached

Remaining k's: Tested to n=25K
9*814^n-1 <------ Proven composite by partial algebraic factors
14*814^n-1
44*814^n-1
128*814^n-1
134*814^n-1
144*814^n-1 <------ Proven composite by partial algebraic factors

Trivial Factor Eliminations: 54k's

Base Released

MyDogBuster · 2010-01-23, 17:32

Riesel Base 819
Conjectured k = 124
Covering Set = 5, 41
Trivial Factors k == 1 mod 2(2) and k == 1 mod 409(409)

Found Primes: 59k's

Remaining k's:
4*819^n-1 <------ Proven composite by partial algebraic factors
64*819^n-1 <------ Proven composite by partial algebraic factors

Conjecture Proven

MyDogBuster · 2010-01-23, 17:35

Riesel Base 829
Conjectured k = 84
Covering Set = 5, 83
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 23(23)

Found Primes: 26k's File attached

Trivial Factor Eliminations: 15k's

Conjecture Proven

2010-01-21, 14:47	#122
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 679 Riesel Base 679 Conjectured k = 186 Covering Set = 5, 17 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 113(113) Found Primes: 58k's File attached Remaining k's: 144679^n-1 <------ Proven composite by partial algebraic factors 174679^n-1 Trivial Factor Eliminations: 32k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-21, 14:50	#123
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 684 Riesel Base 684 Conjectured k = 46 Covering Set = 5, 29, 73 Trivial Factors k == 1 mod 683(683) Found Primes: 41k's File attached Remaining k's: Tested to n=25K 4684^n-1 <------ Proven composite by partial algebraic factors 9684^n-1 <------ Proven composite by partial algebraic factors 39684^n-1 Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-21, 14:53	#124
MyDogBuster May 2008 Wilmington, DE 5444₈ Posts	Riesel Base 724 Riesel Base 724 Conjectured k = 59 Covering Set = 5, 29 Trivial Factors k == 1 mod 3(3) and k == 1 mod 241(241) Found Primes: 36k's File attached Remaining k's: Tested to n=25K 9724^n-1 <------ Proven composite by partial algebraic factors 48724^n-1 Trivial Factor Eliminations: 19k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-21, 14:56	#125
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 739 Riesel Base 739 Conjectured k = 36 Covering Set = 5, 37 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 41(41) Found Primes: 11k's File attached Trivial Factor Eliminations: 6k's Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-21, 14:59	#126
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Riesel Base 759 Riesel Base 759 Conjectured k = 56 Covering Set = 5, 19 Trivial Factors k == 1 mod 2(2) and k == 1 mod 379(379) Found Primes: 25k's File attached Remaining k's: Tested to n=25K 4759^n-1 <------ Proven composite by partial algebraic factors 34759^n-1 Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-21, 15:02	#127
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Reserving Riesel Bases 819, 829, 834, 849, 859, 864, 879, 919, 924, 934

2010-01-23, 17:25	#129
MyDogBuster May 2008 Wilmington, DE B24₁₆ Posts	Riesel Base 774 Riesel Base 774 Conjectured k = 61 Covering Set = 5, 31 Trivial Factors k == 1 mod 713(713) Found Primes: 54k's File attached Remaining k's: Tested to n=25K 4774^n-1 <------ Proven composite by partial algebraic factors 9774^n-1 <------ Proven composite by partial algebraic factors 25774^n-1 30774^n-1 49774^n-1 <------ Proven composite by partial algebraic factors Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2010-01-23, 17:28	#130
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 814 Riesel Base 814 Conjectured k = 164 Covering Set = 5, 163 Trivial Factors k == 1 mod 3(3) and k = 1 mod 271(271) Found Primes: 102k's File attached Remaining k's: Tested to n=25K 9814^n-1 <------ Proven composite by partial algebraic factors 14814^n-1 44814^n-1 128814^n-1 134814^n-1 144814^n-1 <------ Proven composite by partial algebraic factors Trivial Factor Eliminations: 54k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-23, 17:32	#131
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 819 Riesel Base 819 Conjectured k = 124 Covering Set = 5, 41 Trivial Factors k == 1 mod 2(2) and k == 1 mod 409(409) Found Primes: 59k's Remaining k's: 4819^n-1 <------ Proven composite by partial algebraic factors 64819^n-1 <------ Proven composite by partial algebraic factors Conjecture Proven Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2010-01-23, 17:35	#132
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 829 Riesel Base 829 Conjectured k = 84 Covering Set = 5, 83 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 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

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