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 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: 36*529^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 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 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 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 Last fiddled with by MyDogBuster on 2014-09-02 at 09:16
 2009-12-26, 16:41 #81 MyDogBuster     May 2008 Wilmington, DE 1011001001002 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 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 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 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 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 Liverpool (GMT/BST) 37×163 Posts 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
2009-12-30, 05:15   #84
gd_barnes

"Gary"
May 2007
Overland Park, KS

72×241 Posts

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.

Last fiddled with by gd_barnes on 2009-12-30 at 05:30

2009-12-30, 05:59   #85
MyDogBuster

May 2008
Wilmington, DE

22·23·31 Posts

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.

2009-12-30, 10:59   #86
henryzz
Just call me Henry

"David"
Sep 2007
Liverpool (GMT/BST)

603110 Posts

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

 2009-12-31, 14:37 #87 rogue     "Mark" Apr 2003 Between here and the 2·592 Posts 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. Last fiddled with by rogue on 2009-12-31 at 14:38
 2010-01-02, 00:59 #88 kar_bon     Mar 2006 Germany 2,999 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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