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Old 2009-12-22, 22:26   #78
MyDogBuster
 
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Default 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:
36*529^n-1 <----- Proven composite by full algebraic factors

Trivial Factor Eliminations: 10k's

Conjecture Proven

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Old 2009-12-22, 22:35   #79
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Default 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
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

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Old 2009-12-22, 22:38   #80
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Default 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
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

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Old 2009-12-26, 16:41   #81
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Default 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
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

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Old 2009-12-26, 16:49   #82
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Default 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
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

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Old 2009-12-29, 18:12   #83
henryzz
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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
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Old 2009-12-30, 05:15   #84
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Quote:
Originally Posted by henryzz View Post
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.

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Old 2009-12-30, 05:59   #85
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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.
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Old 2009-12-30, 10:59   #86
henryzz
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Quote:
Originally Posted by gd_barnes View Post
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
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Old 2009-12-31, 14:37   #87
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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.

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Old 2010-01-02, 00:59   #88
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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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