20101223, 21:17  #1 
May 2007
Kansas; USA
5^{2}×11×37 Posts 
Bases > 1030 and k's > CK
Use this thread for reporting reservations/statuses/primes for bases > 1030 or for k's > the conjectured k of bases <= 1030.
Note that these efforts will be outside the scope of the project and will not be formally shown anywhere. Last fiddled with by gd_barnes on 20110303 at 05:51 Reason: new thread 
20110107, 04:29  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{3}·5·227 Posts 
I have tested R1031, CK 44. 3k remain at n=25,000.
I would like to reserve it to 50K. Code:
:::pl_trivial.txt::: 6 16 26 36 :::pl_prime.txt::: 2*1031^17221 12*1031^221 18*1031^31 20*1031^21 24*1031^21 28*1031^11 30*1031^31 32*1031^421 34*1031^11 38*1031^101 42*1031^2361 22*1031^28971 40*1031^42731 14*1031^161661 :::pl_remain.txt::: 4*1031^n1 8*1031^n1 10*1031^n1 
20110219, 18:45  #3 
Nov 2008
2×3^{3}×43 Posts 
A little bit of fun
Just for fun, I decided to see what the conjectured Riesel and Sierp ks for base 65535 would be. As bases 3 (41) and 15 (161 = 2^41) have very high conjectured ks, I reasoned that 65535 (2^161) might also have a high conjecture. And finding a Riesel or Sierp k at all was harder than one might think, as the conjectures (which may not be the lowest) and covering sets show:
Riesel: Conjectured k: 929606540198368 Covering set: {13, 37, 61, 193, 877, 22253377} Period: 12 Sierp: Conjectured k: 10766873647286 Covering set: {13, 37, 61, 193, 1657, 22253377} Period: 12 The Riesel conjecture beats R280 for highest conjectured k, but I haven't searched very far so there might be a smaller one. Anyone want to see if there are any smaller Riesel or Sierp ks? (I can't be bothered ) Last fiddled with by 10metreh on 20110219 at 18:46 
20110223, 08:43  #4 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2378_{16} Posts 
A small update: At n<=75,000, R1031 still had 3 k's. I stopped it.
S1031 has CK=302 and about a dozen k's after the script. Didn't run it. Last fiddled with by Batalov on 20110223 at 09:25 
20110223, 09:48  #5 
Nov 2008
912_{16} Posts 
Attached are lists of the conjectured ks for the bases from 1031 to 1500.
I've tested all the bases with a CK of 4 to 2.5K (can't be bothered to go further as it's outside the scope of the project), and out of those, only 8 conjectures still have ks remaining. The work done on those bases is also attached (in the ck4 folder). 
20110223, 12:46  #6  
Mar 2007
Austria
12E_{16} Posts 
Quote:


20110223, 22:11  #7 
May 2007
Kansas; USA
5^{2}×11×37 Posts 

20110225, 13:50  #8  
Nov 2008
2·3^{3}·43 Posts 
Quote:
Here's an updated list of Sierp conjectures. 

20110417, 11:51  #9 
Nov 2008
4422_{8} Posts 
Here are the conjectured ks for bases 1501 to 2048.

20110617, 19:01  #10  
Jan 2006
Hungary
2^{2}×67 Posts 
Quote:
Primality testing 10*1031^771871 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 11, base 1+sqrt(11) Calling BrillhartLehmerSelfridge with factored part 100.00% 10*1031^771871 is prime! (13348.8097s+0.0557s) that leaves 4*1031^n1 8*1031^n1 I'll take these to n = 100,000. Willem. 

20110708, 21:57  #11 
May 2008
Wilmington, DE
2^{5}×89 Posts 
Risel & Sierp 11001199
I'd like to reserve Riesel & Sierp bases 11001199. Something to do in my spare time.
Last fiddled with by MyDogBuster on 20110708 at 21:58 
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