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Forum: Conjectures 'R Us 2019-06-10, 13:07
Replies: 115
Views: 38,753
Posted By sweety439
Since all Sierp bases <= 1030 have a k=7 prime,...

Since all Sierp bases <= 1030 have a k=7 prime, thus I try to find the smallest Sierp base without known prime for k=7 and continue searched Sierp k=7 for larger bases (b>1030) and find such Sierp...
Forum: Conjectures 'R Us 2019-06-09, 01:14
Replies: 115
Views: 38,753
Posted By sweety439
Great!!! Now there are no remain bases for Sierp...

Great!!! Now there are no remain bases for Sierp k=7!!! Besides, how about reserving 2*801^n+1, the only form only searched to n=25K for Sierp k=2.
Forum: Conjectures 'R Us 2019-06-07, 21:24
Replies: 115
Views: 38,753
Posted By sweety439
So you can add the prime 8*997^15814-1 in the...

So you can add the prime 8*997^15814-1 in the CRUS page, currently R997 is only tested to n=10K.
Forum: Conjectures 'R Us 2019-04-11, 16:52
Replies: 115
Views: 38,753
Posted By sweety439
Are there any update of these files? e.g....

Are there any update of these files? e.g. recently the prime 8*410^279991+1 (for Sierpinski k=8) was found.
Forum: Conjectures 'R Us 2018-06-20, 18:48
Replies: 115
Views: 38,753
Posted By sweety439
8*728^7399+1 is prime.

8*728^7399+1 is prime.
Forum: Conjectures 'R Us 2018-06-07, 03:06
Replies: 115
Views: 38,753
Posted By sweety439
Currently at: Riesel k=8: n=6632 Riesel...

Currently at:

Riesel k=8: n=6632
Riesel k=9: n=8346
Riesel k=10: n=7750
Riesel k=11: n=11009
Riesel k=12: n=9840
Sierp k=8: n=6599
Sierp k=9: n=10619
Sierp k=10: n=6196
Forum: Conjectures 'R Us 2018-06-07, 03:02
Replies: 115
Views: 38,753
Posted By sweety439
8*854^6500-1 is prime.

8*854^6500-1 is prime.
Forum: Conjectures 'R Us 2018-06-06, 17:41
Replies: 115
Views: 38,753
Posted By sweety439
12*826^5786+1 is prime.

12*826^5786+1 is prime.
Forum: Conjectures 'R Us 2018-06-05, 21:32
Replies: 115
Views: 38,753
Posted By sweety439
Now I reserve all bases for k = 8 to 12 that are...

Now I reserve all bases for k = 8 to 12 that are at n<25K to n=25K and found that 8*284^5266-1 and 10*1020^6944-1 are primes. (using pfgw)

Current at:

Riesel k=8: n=6144
Riesel k=9: n=7445...
Forum: Conjectures 'R Us 2017-10-30, 19:32
Replies: 115
Views: 38,753
Posted By sweety439
The exclusions are: Riesel k=2: none ...

The exclusions are:


Riesel k=2:
none

Riesel k=3:
b==(1 mod 2); factor of 2

Riesel k=4:
Forum: Conjectures 'R Us 2017-10-30, 14:21
Replies: 115
Views: 38,753
Posted By sweety439
Update current file.

Update current file.
Forum: Conjectures 'R Us 2017-08-21, 02:04
Replies: 115
Views: 38,753
Posted By sweety439
2*801^n+1 is currently at n=28661, and 7*1004^n+1...

2*801^n+1 is currently at n=28661, and 7*1004^n+1 is currently at n=31030, both no primes found.

Many of the bases for 8<=k<=12 are only searched to n=5K, I will reserve all such bases to n=25K.
Forum: Conjectures 'R Us 2017-08-21, 01:58
Replies: 115
Views: 38,753
Posted By sweety439
12*312^21162+1 is prime. Result text file...

12*312^21162+1 is prime.
Result text file attached.
Forum: Conjectures 'R Us 2017-08-16, 17:58
Replies: 115
Views: 38,753
Posted By sweety439
I am now reserving 2*801^n+1, 7*1004^n+1,...

I am now reserving 2*801^n+1, 7*1004^n+1, 10*449^n+1 and 12*312^n+1 and found that 10*449^18506+1 is prime. (2*801^n+1 is currently at n=26600, 7*1004^n+1 is currently at n=28374, and 12*312^n+1 is...
Forum: Conjectures 'R Us 2017-03-10, 19:10
Replies: 115
Views: 38,753
Posted By sweety439
@Gary, your text file for n > 5K for Riesel k=10...

@Gary, your text file for n > 5K for Riesel k=10 is not right, 10*992^5443-1 is not prime, it is divisible by 7.
Forum: Conjectures 'R Us 2017-02-09, 15:49
Replies: 115
Views: 38,753
Posted By sweety439
There is a research for k=2 and some...

There is a research for k=2 and some Sierpinski/Riesel bases (including some bases b>1030): http://mersenneforum.org/showthread.php?t=6918
Forum: Conjectures 'R Us 2017-02-01, 15:43
Replies: 115
Views: 38,753
Posted By sweety439
Also, for the "number of remaining k's" column of...

Also, for the "number of remaining k's" column of the text files for the remain bases, why 7*1004^n+1 and 10*1004^n+1 lists 3k, but 2*1004^n+1 lists 1k? As you say, S1004 should list 3k since k=2, 7...
Forum: Conjectures 'R Us 2017-02-01, 13:34
Replies: 115
Views: 38,753
Posted By sweety439
Found an additional exclusion: Riesel k=12:...

Found an additional exclusion:

Riesel k=12: base 307 has a covering set of [5, 11, 29]

Thus, there are only 6 bases remain for Riesel k=12: 263, 593, 615, 717, 912, 978.
Forum: Conjectures 'R Us 2017-01-20, 16:13
Replies: 115
Views: 38,753
Posted By sweety439
Some additional exclusions for k<=12 and b<=2048:...

Some additional exclusions for k<=12 and b<=2048:

Riesel k=6: all bases b=6*m^2 and m = 2 or 3 mod 5 can be proven composite by partial algebra factors. (this includes bases 24, 54, 294, 384, 864,...
Forum: Conjectures 'R Us 2016-12-06, 12:22
Replies: 115
Views: 38,753
Posted By sweety439
Like my research for Riesel k=15, there are 4...

Like my research for Riesel k=15, there are 4 situations:

(1)b%7=6, b%113=98, b%17=2, b%1489=15

The smallest such b is 12196414.

(2)b%7=6, b%113=98, b%17=15, b%1489=200

The smallest such...
Forum: Conjectures 'R Us 2016-12-06, 12:10
Replies: 115
Views: 38,753
Posted By sweety439
For Riesel k=7, there are 8 situations: (1)...

For Riesel k=7, there are 8 situations:

(1) b%3=2, b%5=3, b%1201=1194, b%17=10, b%169553=7
(2) b%3=2, b%5=3, b%1201=1194, b%17=7, b%169553=169546
(3) b%3=2, b%5=3, b%1201=7, b%17=11,...
Forum: Conjectures 'R Us 2016-12-05, 16:57
Replies: 115
Views: 38,753
Posted By sweety439
Besides, do you miss any primes (that were found...

Besides, do you miss any primes (that were found recently)? At beginning, you missed two primes: 4*737^269302+1 and 4*72^1119849-1. I don't know whether you miss other primes.
Forum: Conjectures 'R Us 2016-12-05, 14:03
Replies: 115
Views: 38,753
Posted By sweety439
The files are not right: 10*611^n-1 (R611, k=10)...

The files are not right: 10*611^n-1 (R611, k=10) is already tested to n=200K, not just 5K.

Besides, why the "number of remaining k's" column of 7*1004^n+1 lists 2k, but that of 10*1004^n+1 lists...
Forum: Conjectures 'R Us 2016-12-05, 12:51
Replies: 115
Views: 38,753
Posted By sweety439
Thanks very much!

Thanks very much!
Forum: Conjectures 'R Us 2016-12-02, 19:46
Replies: 115
Views: 38,753
Posted By sweety439
These are the Sierpinski k=12 primes up to b=1030.

These are the Sierpinski k=12 primes up to b=1030.
Showing results 1 to 25 of 43

 
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