Untested Riesel conjectures sorted by conjecture

rogue · 2010-01-13, 14:19

Here is a list of all Riesel conjectures which have not been tested, ordered by ck.

I figured that people who are new to the search can pick bases from this list with low k to get their feet wet.

Code:

base          conjectured k  (k's remaining at n=2500)
1015          11049380
 546          11732602
 570          12511182
 726          12751579
 585          14271738
 541          15546458
 330          16527822
 865          21155948
 963          22349616
 760          22676277
 777          23485096
 630          24412760
 481          25956422
 556          26019699
 796          27199220
 358          27606383
 801          40381102
 690          42053568
 925          44751264
 876          51768432
 756          54604682
 456          76303920
 891          79570190
 210          80176412
1020          94655888
 325         112882226
 631         149801300
 120         166616308
 906         171998037
 175         278467080
 700         343498413
  85         398534880
 195         582483712
 966         699327630
 141         960608630
  71        1132052528
 345        1295243216
 399        1558133564
 156        2113322677
 946        2156122023
 415        3246826818
 921       10667550454
 435       31732727570
 960       61681833328
 127       93902377422
 981      112303013130
 826      131420459393
 799     1885767686976
 661     2518794379382
 910     5005381602981
 855     7419914968008
 511    40789000085994
 280   513613045571841

gd_barnes · 2010-01-14, 08:16

In the same vein as the untested Sierp conjectures thread, attached is all Riesel conjectures sorted by size, that is conjectured-k.

gd_barnes · 2010-01-22, 09:55

An interesting side question has popped into my head about all of this: I wonder if Riesel base 280 with a conjecture of a ridiculous k=~513.6T is higher conjectured than ANY other base? At this moment in time, it's higher than all KNOWN bases but we don't know for sure that it's conjecture is correct or if there is a base > 1024 that might have a higher conjecture.

I think the math gurus on this forum might have a little fun with this.

Dougal · 2010-01-22, 18:47

i was wondering about this a week or two ago,id like to check to see if there are any higher conjectures above 1024,but is there a simple way to test several bases at a time?

rogue · 2010-02-03, 19:19

Should this thread and the related Sierpinski thread have stickies?

gd_barnes · 2010-02-04, 10:48

Quote:

Originally Posted by rogue

Should this thread and the related Sierpinski thread have stickies?

There's no use in encouraging starting new bases more than we already do. We have too many stickies as it is.

There have been a lot of new bases started since the last time I updated this so it has now been updated.

gd_barnes · 2010-03-22, 07:16

I did want to make sure these untested threads don't die so I am keeping them up to date. If anyone sees a base on the list in the 1st or 2nd post here or in the Sierp thread that has either been reserved or already has work done on it, please let me know.

Gary

10metreh · 2010-04-19, 15:19

Is anyone working on extending the list of conjectures above 1028 (which is where they seem to have been tested to)? I've been doing a bit of work on this.

rogue · 2010-04-19, 17:38

Quote:

Originally Posted by 10metreh

Is anyone working on extending the list of conjectures above 1028 (which is where they seem to have been tested to)? I've been doing a bit of work on this.

AFAIAC, keep your results to yourself or publish them elsewhere. I don't recall anyone expressing interest in seeing more conjectures added to this project. There is enough work for this project to keep everyone (currently involved) busy for decades.

10metreh · 2010-04-20, 07:58

With what parameters was Riesel k=280 (the one with the highest conjectured k) tested (assuming covering.exe was used)? I have managed to reduce the conjecture to k=253971311388192, although that one will still not be proved for a long time! Oddly, the original conjectured k of 513613045571841 didn't show up at all in my run of covering 144 280 -1 100000 1000000000000000.
BTW: no conjectures up to 1200 are larger than that (the largest I've found so far is 1150 481388992590).

kar_bon · 2010-04-20, 08:11

Here are some efforts with R280. Please compare them to your work.

2010-01-22, 09:55	#3
gd_barnes May 2007 Kansas; USA 2827₁₆ Posts	An interesting side question has popped into my head about all of this: I wonder if Riesel base 280 with a conjecture of a ridiculous k=~513.6T is higher conjectured than ANY other base? At this moment in time, it's higher than all KNOWN bases but we don't know for sure that it's conjecture is correct or if there is a base > 1024 that might have a higher conjecture. I think the math gurus on this forum might have a little fun with this. Last fiddled with by gd_barnes on 2010-01-22 at 09:56

2010-03-22, 07:16	#7
gd_barnes May 2007 Kansas; USA 19·541 Posts	I did want to make sure these untested threads don't die so I am keeping them up to date. If anyone sees a base on the list in the 1st or 2nd post here or in the Sierp thread that has either been reserved or already has work done on it, please let me know. Gary Last fiddled with by gd_barnes on 2010-03-22 at 07:16

2010-04-20, 07:58	#10
10metreh Nov 2008 2·3³·43 Posts	With what parameters was Riesel k=280 (the one with the highest conjectured k) tested (assuming covering.exe was used)? I have managed to reduce the conjecture to k=253971311388192, although that one will still not be proved for a long time! Oddly, the original conjectured k of 513613045571841 didn't show up at all in my run of covering 144 280 -1 100000 1000000000000000. BTW: no conjectures up to 1200 are larger than that (the largest I've found so far is 1150 481388992590). Last fiddled with by 10metreh on 2010-04-20 at 08:05

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2010-01-22, 18:47	#4
Dougal Jan 2009 Ireland 2×3×31 Posts	i was wondering about this a week or two ago,id like to check to see if there are any higher conjectures above 1024,but is there a simple way to test several bases at a time?

2010-02-03, 19:19	#5
rogue "Mark" Apr 2003 Between here and the 6,163 Posts	Should this thread and the related Sierpinski thread have stickies?

2010-04-19, 15:19	#8
10metreh Nov 2008 2×3³×43 Posts	Is anyone working on extending the list of conjectures above 1028 (which is where they seem to have been tested to)? I've been doing a bit of work on this.

2010-04-20, 08:11	#11
kar_bon Mar 2006 Germany 2866₁₀ Posts	Here are some efforts with R280. Please compare them to your work.