mersenneforum.org Riesel/Sierp base 2 even-k/even-n/odd-n testing
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2008-01-24, 20:12   #34
Jean Penné

May 2004
FRANCE

24×5×7 Posts
Unreserving k=19464

Quote:
 Originally Posted by gd_barnes Karsten and Jean, There are 3 more k's for Riesel base 2 ODD-n, base 4, and base 16 that I need to confirm statuses, reservations, and test limits. Here is what I show for k=13854, 16734, and 19464 and their coharts for Riesel base 2 odd-n k=6927 and 8367: Riesel base 2 odd-n: k=6927, test limit 261945; now unreserved k=8367, test limit 262045; now unreserved Riesel base 4: k=13854, test limit 130972; now unreserved k=16734; test limit 131022; now unreserved k=19464; test limit ??; reserved by Jean Riesel base 16: k=13854, test limit 100000; now unreserved (I tested this one separately to n=100000 since we had a sieved file for it. Odd n's would still need testing separately up to n=200000 base 4) k=16734, test limit 66511; now unreserved k=19464, test limit ??; reserved by Jean Can one or both of you verify that the above is correct? My main question is for Jean: What is your test limit on k=19464? There was an original post that stated n=93672 base 4. And then a later post that stated n=137000 base 2. Since the later post was a lower range, I've become confused. Note that all of this is coming about since I'm now incorporating the base 2 even-n and odd-n conjectures into my web pages. Thanks, Gary
Gary,

I reserved k=19464 because I believed falsely it might be tested for Riesel odd n's (but 19463 is prime), so, I wish to unreserve it.
I tested it up to n = 262032 base 2, then I created a base 4 sieve file up to n=1048576 (1024K) base 4. I will make it available to users by attaching it here. It is sieved up to 49.58 billions.

Regards,
Jean
Attached Files
 vk19464.zip (22.5 KB, 170 views)

 2008-01-24, 20:45 #35 Jean Penné     May 2004 FRANCE 23016 Posts Riesel odd n's : 3 new k's eliminated. 3 new primes found : 130383 104123 260766*2^104122-1 is prime! Time : 71.272 sec. 131727 169621 263454*2^169620-1 is prime! Time : 79.613 sec. 135567 68325 271134*2^68324-1 is prime! Time : 23.265 sec. 20 k's remaining now... Also, for Sierpinski base 4 / odd n's, I completed the test of k = 9267 up to 2,000,000 base 2 (the very last n is 1999615), no prime... so, I am unreserving this k. Jean
 2008-01-25, 20:57 #36 gd_barnes     May 2007 Kansas; USA 100111111010112 Posts Riesel odd-n reservations Karsten, Part of a post from the reservations thread... I'm reserving Riesel base 4 k=13854, 16734, and 19464 for further testing up to about n=250K base 4. This also means I'll be reserving k=6927 and 8367 for the Riesel base 2 odd-n conjecture and taking them to n=500K base 2. Gary
 2008-01-28, 08:39 #37 gd_barnes     May 2007 Kansas; USA 11·929 Posts A big one drops for odd-n... From the 'regular' primes thread: Base 2 odd-n: 8367*2^313705-1 I'm still working on Base 2 odd-n k=6927. I'm currently at n=324K base 2. Gary
 2008-01-28, 16:46 #38 Jean Penné     May 2004 FRANCE 24×5×7 Posts Gongrats, Gary! Two more prime for me for R. odd n Very good news, Gary, and many congrats! I also found two more primes in my range : 100377 231813 200754*2^231812-1 is prime! Time : 151.901 sec. 161583 138711 323166*2^138710-1 is prime! Time : 157.329 sec. Also, I reached my 256K limit for : k = 86613, n = 262111, no prime... k = 163503, n = 262107, no prime... So, I am unreserving these two k's for now. After your last discovery, there are now 17 k's remaining, 6 of them I tested up to n <= 256K. Regards, Jean
 2008-02-03, 09:32 #39 gd_barnes     May 2007 Kansas; USA 11·929 Posts Riesel base 2 odd-n status k=6927 now at n=414K; no primes testing to n=500K base 2 in conjunction with Riesel base 4 k=13854
 2008-02-03, 10:25 #40 gd_barnes     May 2007 Kansas; USA 11·929 Posts Sierp base 2 odd-n status k=37953, 53133, 60357, 70467, 80463, 84363, 85287 all at n=224K. All going to n=600K or until a prime is found.
 2008-02-06, 22:47 #41 gd_barnes     May 2007 Kansas; USA 1021910 Posts Riesel and Sierp odd-n statuses Riesel base 2 odd-n k=6927 now at n=500K; no primes. I'll up my test limit to n=600K base 2 in conjunction with Riesel base 4 k=13854. Sierp base 2 odd-n k=37953, 53133, 60357, 70467, 80463, 84363, & 85287 all at n=250K; no primes. Still going to n=600K on all. Gary
 2008-02-11, 20:42 #42 gd_barnes     May 2007 Kansas; USA 11×929 Posts Sierp odd-n prime and status Sierp base 2 odd-n: 70467*2^268503+1 is prime Sierp base 2 odd-n k=37953, 53133, 60357, 80463, 84363, & 85287 all now at n=286K. Gary Last fiddled with by gd_barnes on 2010-12-17 at 10:17
 2008-02-14, 20:45 #43 gd_barnes     May 2007 Kansas; USA 11·929 Posts Sierp base 2 odd-n: 37953*2^298913+1 is prime Now down to 7 k's remaining. Sierp base 2 odd-n k=53133, 60357, 80463, 84363, & 85287 are all now at n=305K; still going to n=600K. Note: I have been double-checking k=9267 and 32247 along with this so I still have 7 k's in my sieved file. I'll double-check them to n=600K along with the rest. If I decide to continue higher than n=600K with the other k's, I'll drop the double-checking of the 2 k's at that point. Gary Last fiddled with by gd_barnes on 2010-12-17 at 10:17
 2008-02-14, 20:51 #44 gd_barnes     May 2007 Kansas; USA 11×929 Posts Riesel base 2 odd-n status Riesel base 2 odd-n k=6927 is now complete to n=600K and unreserved. No primes. It had been tested in conjunction with base 4 k=13854.

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