mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Conjectures 'R Us (https://www.mersenneforum.org/forumdisplay.php?f=81)
-   -   Untested Riesel conjectures sorted by conjecture (https://www.mersenneforum.org/showthread.php?t=12984)

rogue 2010-01-13 14:19

Untested Riesel conjectures sorted by conjecture
 
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)
735 3536594
721 3966270
915 3970630
907 4050362
691 4306490
651 4965144
586 5906982
561 5975464
817 6189398
420 6548233
525 8364188
205 8450016
715 9745298 (14622)
1015 11049380
546 11732602
570 12511182
726 12751579
261 13061094
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
271 50389004
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
[/code]

gd_barnes 2010-01-14 08:16

1 Attachment(s)
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. :smile:

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=rogue;204471]Should this thread and the related Sierpinski thread have stickies?[/quote]

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.


[LEFT]Gary
[/LEFT]

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=10metreh;212417]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.[/QUOTE]

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

[url=http://www.mersenneforum.org/showthread.php?t=10910]Here[/url] are some efforts with R280. Please compare them to your work.


All times are UTC. The time now is 05:43.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.