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2020-07-06, 17:33   #1662
gd_barnes

May 2007
Kansas; USA

2·47·109 Posts

Quote:
 Originally Posted by sweety439 The "top 10 primes" for R55 has the prime 68*55^29173-1, however, 68*55^1-1 = 3739 is prime, thus this prime is not the first prime for k=68

Good catch. This revealed an error in this base. k=608 (not k=68) was only tested up to n=25K. No prime was found. From this point forward k=608 was misread as k=68 and so k=68, despite having several small primes including at n=1, was tested for n>25K with a prime quickly found at n=29173.

So this brings to light the fact that k=608 has only been tested to n=25K and has never had a prime found.

I have updated the pages accordingly including removing the larger prime for k=68 and will begin a search 608*55^n-1 for n>25K.

Last fiddled with by gd_barnes on 2020-07-06 at 17:58

 2020-07-06, 20:15 #1663 gd_barnes     May 2007 Kansas; USA 2·47·109 Posts An odd state of affairs here: After all of that messing around with sieving 608*55^n-1 for n=25K-100K (and preparing to sieve n=100K-300K) because it was found to erroneously only have been tested to n=25K: 608*55^25062-1 is prime! Found by the 5th test in the sieve file! So R55 is back to 5 k's remaining. Last fiddled with by gd_barnes on 2020-07-06 at 20:15
 2020-07-19, 05:41 #1664 rebirther     Sep 2011 Germany 260110 Posts Reserving S88 to n=500k (250-500k) for BOINC
 2020-07-21, 18:11 #1665 pepi37     Dec 2011 After milion nines:) 1,361 Posts S 53 K4 S53 at 1.61M S53 -200K-305K -res sent to Gary Base released ( except K4 of course)
2020-08-11, 17:56   #1666
rogue

"Mark"
Apr 2003
Between here and the

2·3,019 Posts

Here are a bunch of primes for R66. The k between 94245817 and 99461099 still need to be tested to n=25000. All k outside of that range have been tested to n=25000. I hope to complete finish it off in a few weeks. Since I started this on 10/19 of last year, I will be happy to have finished it. It would probably take less time to get S3 to n=50000 than the time it took me to do this (and no, that is not next on my list).

Gary, if you think that there are other gaps that I could have missed, please let me know and I'll investigate.
Attached Files
 r66_primes.7z (80.4 KB, 62 views)

 2020-08-14, 16:04 #1667 rebirther     Sep 2011 Germany A2916 Posts Reserving S91 to n=500k (200-500k) for BOINC
2020-08-24, 01:44   #1668
gd_barnes

May 2007
Kansas; USA

2·47·109 Posts

Quote:
 Originally Posted by rogue Here are a bunch of primes for R66. The k between 94245817 and 99461099 still need to be tested to n=25000. All k outside of that range have been tested to n=25000. I hope to complete finish it off in a few weeks. Since I started this on 10/19 of last year, I will be happy to have finished it. It would probably take less time to get S3 to n=50000 than the time it took me to do this (and no, that is not next on my list). Gary, if you think that there are other gaps that I could have missed, please let me know and I'll investigate.
No gaps that I can see so all is good. There were 9 k's found prime that already had a prime.

Balancing:
k's previously remaining: 85939
subtract primes in file: -17587
add k's that already had primes: +9
k's currently remaining: 68361

primes for k's that already had primes:
81440638*66^24455-1
81587724*66^21701-1
81638180*66^14564-1
81790115*66^12386-1
83244685*66^23606-1
83284753*66^16709-1
83508219*66^12744-1
83790529*66^18610-1
83800758*66^14408-1

Their previous primes:
81440638*66^10679-1
81587724*66^10915-1
81638180*66^10923-1
81790115*66^10952-1
83244685*66^10974-1
83284753*66^10943-1
83508219*66^10955-1
83790529*66^10907-1
83800758*66^10907-1

2020-08-26, 15:17   #1669
rogue

"Mark"
Apr 2003
Between here and the

136268 Posts

The last of the primes. The search is now down to n=25000 and the range is released.
Attached Files
 r66_primes.7z (8.6 KB, 55 views)

 2020-09-05, 06:09 #1670 rebirther     Sep 2011 Germany 32×172 Posts S88 tested to n=500k (250-500k) 2 primes found, 6 remain Results emailed - Base released
 2020-09-26, 21:56 #1671 pepi37     Dec 2011 After milion nines:) 1,361 Posts Progress update K4 S53 at 1.65M
 2020-10-10, 06:28 #1672 VBCurtis     "Curtis" Feb 2005 Riverside, CA 22×32×53 Posts R36 is, finally, complete to 400k (800k base-6). Testing continues.

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