Reserving Riesel 1019 to 50K, and Riesel 1021 to 40K.

Riesel base 704 is proven
A big fish. (176,647 digits)
[B]2*704^620341[/B] is 3PRP! (605.8170s+0.0069s) [FONT=Arial Narrow]Done. PFGW Version 20090928.Win_Dev (Beta 'caveat utilitor') [GWNUM 25.13][/FONT] [FONT=Arial Narrow]Output logging to file ../BR704a.txt No factoring at all, not even trivial division Primality testing 2*704^620341 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Special modular reduction using FFT length 48K on 2*704^620341 N+1: 2*704^620341 15000/586809 mro=0.052734375...[/FONT] ...a few hours later will submit to Top5000. 
Congratulations on a large proof Serge! :smile:

doing some work on riesel base 1017 at the minute conjectured k is 900.

I took Sierp. base 1002 (conj. k=1240) and apart from GFNs at k=1 and k=base, there are 10 k's left at 9.8K:
152 154 171 409 448 492 613 707 917 1106 I'll make a "Chris"like zip file for every base, Gary, sometime this weekend. 
[QUOTE=gd_barnes;195333]Edit: There is only one such Riesel base <= 1024 remaining to be proven. The highest one: base 1019, which has currently been tested to n=25K. So there you go Karsten...another possible one to prove. Doing so would prove all Riesel bases <= 1024 where b==(29 mod 30). :)
[/QUOTE] k=2 for Riesel Base 1019 at n=63.4k and continuing! 
1 Attachment(s)
Riesel Base 1002 is proven with conj. k=237.
Primes are attached. 
[quote=Batalov;197034]I took Sierp. base 1002 (conj. k=1240) and apart from GFNs at k=1 and k=base, there are 10 k's left at 9.8K:
152 154 171 409 448 492 613 707 917 1106 I'll make a "Chris"like zip file for every base, Gary, sometime this weekend.[/quote] Serge, This is a tremendous number of new bases and I have to check them all and subsequently update the pages, which I'm close to finishing now. The problem that I'm having is that I make it a rule to not list k's remaining until I can balance them; that is I have all of the primes. What I must have is a listing of the primes for n>2500 (preferrably n>1000). The biggest problem are the ones like the above where you're listing no primes or only primes for n>5000 (or 7000 or 10000). For those, I have to ignore them on the pages or make a note to myself to follow up on them. I have spare cores on a slower machine and can fairly quickly use it to test to n=2500 without sieving. But to test to n=5000 or 10000 to get that complete listing would require that I stop other efforts, sieve, and then test...too much personal time and CPU resources. It would really help me out if you would post primes n>2500 and k's remaining at the same time. Otherwise I have to update the pages twice or just ignore the 1st posting of k's remaining, which means someone else may end up testing a base that you have already started on. For now, I'm going to list what I can on the pages with a note to myself to follow up on primes needed for n=2500 to (the lower limit of what you're listing shows). In the future, I won't show them at all until I get the n>2500 primes, which means a base or two could get missed. Thanks, Gary 
Riesel base 1000 proven
Hi all,
The riesel conjecture 12 for base 1000 is proven. k = 1, 4, 7, 10 are eliminated because 10001 has 3 as a factor. k = 8 can be eliminated because All k = m^3 for all n; factors to (m*10^n  1) *(m^2*100^n + m*10^n + 1) ( I stole this from base 27) That leaves these primes: 2*1000^11 3*1000^11 5*1000^11 6*1000^9981 9*1000^11 11*1000^31 Willem. 
Sierp base 1000
Sierp Base 1000
Conjectured k = 12 Found Primes:[CODE]3*1000^1+1 4*1000^1+1 6*1000^3+1 7*1000^1+1 9*1000^1+1[/CODE] Remaining k's: Tested to n=10K 10*1000^n+1 Trivial Factor Eliminations: 2 5 8 11 GFN Eliminations: 1 Base Released (If k=10 can be eliminated for some algebraic/trivial reason, I don't see why. The automatic PFGW script didn't eliminate it and it's not a cube. It is equivalent to 10^(3*n+1)+1, but I don't know if that implies anything terribly interesting.) 
Riesel base 701
Riesel Base 701
Conjectured k = 14 Found Primes:[code]2*701^21 4*701^11 10*701^311 12*701^21 [/code]Trivial Factor Eliminations: 6 8 Conjecture Proven 
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