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Old 2008-01-25, 04:13   #210
tcadigan
 
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Quote:
Originally Posted by tcadigan View Post

reserving sieve-riesel-base13.txt
reservation competed

no primes found

results attached.
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File Type: txt lresults.txt (78.5 KB, 139 views)
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Old 2008-01-25, 10:24   #211
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Quote:
Originally Posted by tnerual View Post
update: sierpinski base 31 is at n=1320 ... 7707 k without primes

i'm still working on it !

Go Tnerual go! 7707 k's...wow. Good luck!


G
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Old 2008-01-25, 20:56   #212
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I'm reserving Riesel base 4 k=13854, 16734, and 19464 for further testing up to about n=250K base 4. I'll sieve to n=500K and leave my files for others if no primes are found on one or more of the k's.

It will also be the same k's for Riesel base 16.

Karsten, this also means I'll be reserving k=6927 and 8367 for the Riesel base 2 odd-n conjecture.


Gary
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Old 2008-01-25, 22:10   #213
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Quote:
Originally Posted by gd_barnes View Post
I'm reserving Riesel base 4 k=13854, 16734, and 19464 for further testing up to about n=250K base 4. I'll sieve to n=500K and leave my files for others if no primes are found on one or more of the k's.

It will also be the same k's for Riesel base 16.

Karsten, this also means I'll be reserving k=6927 and 8367 for the Riesel base 2 odd-n conjecture.


Gary
I thought that base 4 Riesel only covers the even n for base 2? Thus, wouldn't you be reserving it for the even-n conjecture?
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Old 2008-01-25, 22:21   #214
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Default Sierp. Base 6

Sierpinski Base 6 k=172257 finished up to n=100K. I'm releasing this k. lresults attached for n=30K-100K.
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Old 2008-01-26, 10:06   #215
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Quote:
Originally Posted by Anonymous View Post
I thought that base 4 Riesel only covers the even n for base 2? Thus, wouldn't you be reserving it for the even-n conjecture?
No, it also covers odd-n IF the k base 4 is divisible by 2, i.e.

Let k=2m and let n=q

2m*4^q-1 = 2m*2^(2q)-1 = m*2^(2q+1)-1

Hence where the base is 4 and k=2m, then where the base is 2, n must be 2q+1; hence odd.

In this case, k=13854 and k=16734 base 4 equate to k=6927 and k=8367 base 2 odd-n.

It's surprising how tricky it has been to keep all of our reservations clean and consistent across all bases without stepping on one another; namely the bases that are powers of 2.

Edit: One more requirement...the k base 4 cannot be divisible by 4 in order to 'reduce' to a base 2 odd-n k. The even-n and odd-n conjectures have a requirement that the k must be odd and divisible by 3 or...as shown on my pages k==3 mod 6.


Gary

Last fiddled with by gd_barnes on 2008-01-26 at 10:12
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Old 2008-01-26, 16:20   #216
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Quote:
Originally Posted by gd_barnes View Post
No, it also covers odd-n IF the k base 4 is divisible by 2, i.e.

Let k=2m and let n=q

2m*4^q-1 = 2m*2^(2q)-1 = m*2^(2q+1)-1

Hence where the base is 4 and k=2m, then where the base is 2, n must be 2q+1; hence odd.

In this case, k=13854 and k=16734 base 4 equate to k=6927 and k=8367 base 2 odd-n.

It's surprising how tricky it has been to keep all of our reservations clean and consistent across all bases without stepping on one another; namely the bases that are powers of 2.

Edit: One more requirement...the k base 4 cannot be divisible by 4 in order to 'reduce' to a base 2 odd-n k. The even-n and odd-n conjectures have a requirement that the k must be odd and divisible by 3 or...as shown on my pages k==3 mod 6.


Gary
Okay, thanks for the explanation.
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Old 2008-01-27, 14:12   #217
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Quote:
Originally Posted by gd_barnes View Post
Go Tnerual go! 7707 k's...wow. Good luck!


G
now at n=2414 ... 4960 k's remaining

stopping for 10 days ... hollidays

all computers switched back to llrnet CRUS1

Gary, can you tag sierp31 as reserved

see you next week

tnerual
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Old 2008-01-27, 21:40   #218
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24 mini-successes for Riesel base 24:
Quote:
5629*24^7306-1
6131*24^7357-1
20414*24^7358-1
12136*24^7391-1
2599*24^7620-1
9066*24^7631-1
18824*24^7640-1
4491*24^7641-1
5379*24^7774-1
23584*24^7846-1
18859*24^7894-1
17614*24^7898-1
13214*24^7900-1
23004*24^8000-1
30626*24^8085-1
7354*24^8250-1
10316*24^8367-1
21151*24^8433-1
4626*24^8594-1
3541*24^8587-1
26516*24^8613-1
5501*24^8639-1
6059*24^8658-1
30914*24^8666-1
are all prime
That leaves 251 k's to tackle
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Old 2008-01-28, 05:54   #219
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Riesel Base 30 k=25 sieved to p=600G for range n=25K-100K, releasing. Sieve file attached.
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File Type: txt rb30_k25.txt (21.6 KB, 101 views)
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Old 2008-01-28, 10:12   #220
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Default Riesel base 6

40657*6^39087-1 is prime (status see other thread)
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