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Old 2020-07-06, 17:33   #1662
gd_barnes
 
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Quote:
Originally Posted by sweety439 View Post
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
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Old 2020-07-06, 20:15   #1663
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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
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Old 2020-07-19, 05:41   #1664
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Reserving S88 to n=500k (250-500k) for BOINC
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Old 2020-07-21, 18:11   #1665
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Default S 53

K4 S53 at 1.61M


S53 -200K-305K -res sent to Gary
Base released ( except K4 of course)
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Old 2020-08-11, 17:56   #1666
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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.
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File Type: 7z r66_primes.7z (80.4 KB, 60 views)
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Old 2020-08-14, 16:04   #1667
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Reserving S91 to n=500k (200-500k) for BOINC
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Old 2020-08-24, 01:44   #1668
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Quote:
Originally Posted by rogue View Post
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
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Old 2020-08-26, 15:17   #1669
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The last of the primes. The search is now down to n=25000 and the range is released.
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File Type: 7z r66_primes.7z (8.6 KB, 53 views)
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Old 2020-09-05, 06:09   #1670
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S88 tested to n=500k (250-500k)

2 primes found, 6 remain

Results emailed - Base released
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Old 2020-09-26, 21:56   #1671
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K4 S53 at 1.65M
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Old 2020-10-10, 06:28   #1672
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R36 is, finally, complete to 400k (800k base-6). Testing continues.
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