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2008-01-25, 04:13   #210
tcadigan

Sep 2004
UVic

2·5·7 Posts

Quote:
 Originally Posted by tcadigan reserving sieve-riesel-base13.txt
reservation competed

no primes found

results attached.
Attached Files
 lresults.txt (78.5 KB, 139 views)

2008-01-25, 10:24   #211
gd_barnes

May 2007
Kansas; USA

101000011101012 Posts

Quote:
 Originally Posted by tnerual 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

 2008-01-25, 20:56 #212 gd_barnes     May 2007 Kansas; USA 10,357 Posts 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
2008-01-25, 22:10   #213
mdettweiler
A Sunny Moo

Aug 2007
USA (GMT-5)

3×2,083 Posts

Quote:
 Originally Posted by gd_barnes 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?

2008-01-25, 22:21   #214
mdettweiler
A Sunny Moo

Aug 2007
USA (GMT-5)

3·2,083 Posts
Sierp. Base 6

Sierpinski Base 6 k=172257 finished up to n=100K. I'm releasing this k. lresults attached for n=30K-100K.
Attached Files
 lresults.txt (146.4 KB, 218 views)

2008-01-26, 10:06   #215
gd_barnes

May 2007
Kansas; USA

101000011101012 Posts

Quote:
 Originally Posted by Anonymous 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

2008-01-26, 16:20   #216
mdettweiler
A Sunny Moo

Aug 2007
USA (GMT-5)

3×2,083 Posts

Quote:
 Originally Posted by gd_barnes 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.

2008-01-27, 14:12   #217
tnerual

Oct 2006

25910 Posts

Quote:
 Originally Posted by gd_barnes 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

2008-01-27, 21:40   #218
michaf

Jan 2005

1110111112 Posts

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

2008-01-28, 05:54   #219
mdettweiler
A Sunny Moo

Aug 2007
USA (GMT-5)

186916 Posts

Riesel Base 30 k=25 sieved to p=600G for range n=25K-100K, releasing. Sieve file attached.
Attached Files
 rb30_k25.txt (21.6 KB, 101 views)

 2008-01-28, 10:12 #220 kar_bon     Mar 2006 Germany 55068 Posts Riesel base 6 40657*6^39087-1 is prime (status see other thread)

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