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Old 2022-04-23, 10:29   #496
lghu
 
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Next PRP:
101542^92885+92885^101542, 504465 digit, index: 6185645908
PRPtop confirmation OK.
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Old 2022-04-23, 16:02   #497
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Quote:
Originally Posted by lghu View Post
Next PRP:
101542^92885+92885^101542, 504465 digit, index: 6185645908
PRPtop confirmation OK.
Thanks. The number of digits is 504456 of course.
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Old 2022-04-28, 16:15   #498
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Thanks. The number of digits is 504456 of course.
YES. Thank you. It's my copy error.
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Old 2022-05-08, 20:06   #499
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Quote:
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Congratulations to Miklos. By the way, my list of all known Leyland primes tries hard to stay up-to-date but I will calculate an associated Leyland number index (the prime's position in OEIS sequence A076980) before I post a new entry. For these large numbers this takes me about 24 hours. I recently attempted to interest the Mathematica community in speeding up the program that I wrote to do this but have had no such improvement.
Has
Code:
 300     5829184   10133    (3178,1543)    Alexander Kuzmich    Oct 2001
still not been proven prime?

If so, I may give it a whirl through the latest ECPP release.
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Old 2022-05-08, 21:19   #500
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Originally Posted by xilman View Post
Has
Code:
 300     5829184   10133    (3178,1543)    Alexander Kuzmich    Oct 2001
still not been proven prime?

If so, I may give it a whirl through the latest ECPP release.
Not as far as I know. Go for it!
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Old 2022-05-09, 08:44   #501
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Not as far as I know. Go for it!
Thanks. I did.

The mpi processes crashed overnight for unexplained reasons but I suspect the system ran out of memory. Now to see whether a restart works as advertised ...
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Old 2022-05-09, 10:08   #502
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I have now finished testing the Leyland numbers in the interval from L(303999,10) to L(304999,10) and have found therein 10 PRPs. That completes the fifth and final part of finding all PRPs in the interval L(299999,10) to L(304999,10). I have therein 63 PRPs, one of which is Anatoly Selevich's L(314738,9) found back in February 2011. I started the project on May 31 of last year, testing 1186439 sieved-to-10^10 candidates, manually distributed across (mostly) 72 Mac-mini cores, only taking some time out in August to add L(83747,41272) and L(80565,62824).

Last fiddled with by pxp on 2022-05-09 at 10:17 Reason: wording
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Old 2022-05-09, 15:05   #503
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Thanks. I did.

The mpi processes crashed overnight for unexplained reasons but I suspect the system ran out of memory. Now to see whether a restart works as advertised ...
Given that all the ecmclient processes also terminated but Linux did not I now believe it was memory exhaustion.

Now as far along as
Code:
-- Size [11]: 33084 bits
   Time for discriminant  -744891: 2732.0 (556.9)
   largest prime of d: 449
   largest prime of h: 11
       discriminants: 8.3 (9.0)
     1385 qroot:      6230.7 (1329.4)
  2395689 Cornacchia: 13309.0 (2787.3)
    37864 trial div:  2528.1 (442.3)
     9211 is_prime:   41706.0 (8859.6)
-- Size [12]: 33026 bits
Looks like it might be quite a while yet, but that is what I expect for a >10K digit prime candidate.
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Old 2022-05-10, 18:32   #504
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I'll give (3042,2231) a go. I think it should take only a few hours on six 20-core nodes.
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Old 2022-05-10, 19:45   #505
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Quote:
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I'll give (3042,2231) a go. I think it should take only a few hours on six 20-core nodes.
Not a good idea...
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Reserving L(3042, 2231). Let's give fastECPP a try!
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Old 2022-05-10, 20:08   #506
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Quote:
Originally Posted by kruoli View Post
Not a good idea...
Oops, I missed that. I'll do (3594,697) then.
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