Bases 501-1030 reservations/statuses/primes - Page 8

MyDogBuster · 2009-12-22, 22:26

Riesel Base 529
Conjectured k = 54
Covering Set = 5, 53
Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 11(11)

Found Primes: 15k's File attached

Remaining k's:
36*529^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 10k's

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 22:35

Riesel Base 676
Conjectured k = 149
Covering Set = 7, 31, 37
Trivial Factors k == 1 mod 3(3) and k == 1 mod 5(5)

Found Primes: 76k's File attached

Remaining k's: Tested to n=25K
9*676^n-1 <----- Proven composite by full algebraic factors
144*676^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 69k's

Conjecture Proven

HTML attached

MyDogBuster · 2009-12-22, 22:38

Riesel Base 729
Conjectured k = 74
Covering Set = 5,73
Trivial Factors k == 1 mod 2(2) and 1 mod 7(7) and 1 mod 13(13)

Found Primes: 25k's File attached

Remaining k's: Tested to n=25K
4*729^n-1 <----------- Removed due to full algebraic factors
16*729^n-1 <----------- Removed due to full algebraic factors
24*729^n-1

Trivial Factor Eliminations:
8
14
22
36
40
50
64
66

Base Released

HTML attached

MyDogBuster · 2009-12-26, 16:41

Riesel Base 784
Conjectured k = 156
Covering Set = 5, 157
Trivial Factors k == 1 mod 3(3) and k == 1 mod 29(29)

Found Primes: 93k's File attached

Remaining k's: Tested to n=25K
9*784^n-1 <----- Proven composite by full algebraic factors
36*784^n-1 <----- Proven composite by full algebraic factors
69*784^n-1
81*784^n-1 <----- Proven composite by full algebraic factors
116*784^n-1
144*784^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 55k's

Base Released

HTML attached

MyDogBuster · 2009-12-26, 16:49

Riesel Base 900
Conjectured k = 52
Covering Set = 17, 53
Trivial Factors k == 1 mod 29(29) and k == 1 mod 31(31)

Found Primes: 41k's File attached

Remaining k's: Tested to n=25K
4*900^n-1 <----- Proven composite by full algebraic factors
9*900^n-1 <----- Proven composite by full algebraic factors
16*900^n-1 <----- Proven composite by full algebraic factors
22*900^n-1
25*900^n-1 <----- Proven composite by full algebraic factors
36*900^n-1 <----- Proven composite by full algebraic factors
49*900^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations:
30
32

Base Released

HTML attached

henryzz · 2009-12-29, 18:12

i have had 2 more primes since n=3k
744*589^4026+-1
654*589^5638+-1
i am now tested upto n=20k
this lack of recent primes is getting frustrating

gd_barnes · 2009-12-30, 05:15

Quote:

Originally Posted by henryzz

i have had 2 more primes since n=3k
744*589^4026+-1
654*589^5638+-1
i am now tested upto n=20k
this lack of recent primes is getting frustrating

I don't blame you for being annoyed. If there's one thing I've personally found with the very large bases, it's that you can go into extremely long stretches of no primes after a large grouping of primes. I'm sure Ian can relate the same experience.

MyDogBuster · 2009-12-30, 05:59

Quote:

I'm sure Ian can relate the same experience.

Yup, the galactic voids are all over the place. I guess this is part of the exercise. Not only can a pattern of primes be found (hopefully) but also a pattern of voids would also be useful.

henryzz · 2009-12-30, 10:59

Quote:

Originally Posted by gd_barnes

I don't blame you for being annoyed. If there's one thing I've personally found with the very large bases, it's that you can go into extremely long stretches of no primes after a large grouping of primes. I'm sure Ian can relate the same experience.

i worked out the probability using your odds or prime spreadsheet and i should have found 1.2 primes in the range 5k-10k and also 1.2 primes in the range 10k-20k
this was based on data after the primes just mentioned
i found the prime for 5k-10 before the analysis but am still owed the prime for 10k-20k
i suppose i was being lucky before
cant wait for finding another prime

rogue · 2009-12-31, 14:37

Riesel base 707 proven with prime:

12*707^10572-1

No, I did not reserve it. I just took a bunch of bases that had a few k left where n < 25000 and are taking them to n = 25000 as part of my testing for the upcoming PRPNet release. I will avoid stepping on toes by not posting primes for bases reserved by others.

kar_bon · 2010-01-02, 00:59

Riesel base 1019:

the only k=2 is at n=91k (so about n=910k for base 2)

no prime yet. continuing.

2009-12-22, 22:26	#78
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 529 Riesel Base 529 Conjectured k = 54 Covering Set = 5, 53 Trivial Factors k == 1 mod 2(2) and k == 1 mod 3(3) and k == 1 mod 11(11) Found Primes: 15k's File attached Remaining k's: 36529^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 10k's Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2009-12-22, 22:35	#79
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 676 Riesel Base 676 Conjectured k = 149 Covering Set = 7, 31, 37 Trivial Factors k == 1 mod 3(3) and k == 1 mod 5(5) Found Primes: 76k's File attached Remaining k's: Tested to n=25K 9676^n-1 <----- Proven composite by full algebraic factors 144676^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 69k's Conjecture Proven HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-22, 22:38	#80
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 729 Riesel Base 729 Conjectured k = 74 Covering Set = 5,73 Trivial Factors k == 1 mod 2(2) and 1 mod 7(7) and 1 mod 13(13) Found Primes: 25k's File attached Remaining k's: Tested to n=25K 4729^n-1 <----------- Removed due to full algebraic factors 16729^n-1 <----------- Removed due to full algebraic factors 24729^n-1 Trivial Factor Eliminations: 8 14 22 36 40 50 64 66 Base Released HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2009-12-26, 16:41	#81
MyDogBuster May 2008 Wilmington, DE B24₁₆ Posts	Riesel Base 784 Riesel Base 784 Conjectured k = 156 Covering Set = 5, 157 Trivial Factors k == 1 mod 3(3) and k == 1 mod 29(29) Found Primes: 93k's File attached Remaining k's: Tested to n=25K 9784^n-1 <----- Proven composite by full algebraic factors 36784^n-1 <----- Proven composite by full algebraic factors 69784^n-1 81784^n-1 <----- Proven composite by full algebraic factors 116784^n-1 144784^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 55k's Base Released HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16

2009-12-26, 16:49	#82
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 900 Riesel Base 900 Conjectured k = 52 Covering Set = 17, 53 Trivial Factors k == 1 mod 29(29) and k == 1 mod 31(31) Found Primes: 41k's File attached Remaining k's: Tested to n=25K 4900^n-1 <----- Proven composite by full algebraic factors 9900^n-1 <----- Proven composite by full algebraic factors 16900^n-1 <----- Proven composite by full algebraic factors 22900^n-1 25900^n-1 <----- Proven composite by full algebraic factors 36900^n-1 <----- Proven composite by full algebraic factors 49900^n-1 <----- Proven composite by full algebraic factors Trivial Factor Eliminations: 30 32 Base Released HTML attached Last fiddled with by MyDogBuster on 2014-09-02 at 09:16*

2009-12-29, 18:12	#83
henryzz Just call me Henry "David" Sep 2007 Cambridge (GMT/BST) 5,881 Posts	i have had 2 more primes since n=3k 744589^4026+-1 654589^5638+-1 i am now tested upto n=20k this lack of recent primes is getting frustrating

2009-12-31, 14:37	#87
rogue "Mark" Apr 2003 Between here and the 18D0₁₆ Posts	Riesel base 707 proven with prime: 12707^10572-1 No, I did not reserve it. I just took a bunch of bases that had a few k left where n < 25000 and are taking them to n = 25000 as part of my testing for the upcoming PRPNet release. I will avoid stepping on toes by not posting primes for bases reserved by others. Last fiddled with by rogue on 2009-12-31 at 14:38*

2010-01-02, 00:59	#88
kar_bon Mar 2006 Germany 2·1,453 Posts	Riesel base 1019: the only k=2 is at n=91k (so about n=910k for base 2) no prime yet. continuing.

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