Smarandache prime(s?)

[rogue]

I found and fixed this issue. The source is committed to sourceforce. I can post a new build if you want, but this bug has zero impact on results.

[ryanp]

FYI, I am attempting to sieve to P=1e14 now (assuming my GPU VM doesn't get killed). Currently at:

  p=64545564808217, 3.823M p/sec, 583 factors found at 1632 sec per factor (last 7199 min), 60.6% done. ETC 2022-01-28 11:33

yeah, the sieve is glacially slow but it's trimmed down the list quite a bit. Comparing where we are now vs. where started:

$ wc -l *.txt
  9466 smar2.txt
  8883 smar3.txt
 11107 smar.txt
 13548 sm_in.txt

[rogue]

Originally Posted by ryanp

yeah, the sieve is glacially slow but it's trimmed down the list quite a bit.

Slow compared to what?

[ryanp]

Originally Posted by rogue

Slow compared to what?

Er, I dunno, I was just speaking in generalities.

In any case, the sieve to P=1e14 completed:

  p=99996904837223, 3.826M p/sec, 717 factors found at 3744 sec per factor (last 7199 min), 99.9% done. ETC 2022-01-28 08:55           
Sieve completed at p=100000099057457.
CPU time: 745822.11 sec. (59807.12 sieving) (0.99 cores) GPU time: 678671.21 sec. 
8748 terms written to smar3.txt
Primes tested: 2858879287296.  Factors found: 717.  Remaining terms: 8748.  Time: 749105.18 seconds.

I'll probably stop there. Factors and remaining candidates attached.

[WraithX]

I've started sieving from 1e14 to 2e14, looks like it will finish around Feb 8.

[WraithX]

1e14-2e14 found 179 factors, we are down to 8569 candidates. New factors and remaining candidates attached.

  p=199981274007871, 3.472M p/sec, 179 factors found at 11737 sec per factor (la
  p=199988266696091, 3.472M p/sec, 179 factors found at 11737 sec per factor (la
  p=199995258932389, 3.473M p/sec, 179 factors found at 11737 sec per factor (last 7199 min), 100.0% done.
Sieve completed at p=200000049708791.
CPU time: 863634.84 sec. (105685.31 sieving) (0.99 cores) GPU time: 751122.34 sec.
8569 terms written to smar04.txt
Primes tested: 3065484410880.  Factors found: 179.  Remaining terms: 8569.  Time: 875451.53 seconds.

I am now sieving from 2e14 to 3e14, looks like it will finish around Feb 18.

[rogue]

Any updates?

[WraithX]

I have finished sieving from 2e14-6e14.

I am currently sieving from 6e14-8e14 (each range of 2e14 is taking about 20 days). Here is that current progress:
p=663470593157233, 3.506M p/sec, 19 factors found at 50132 sec per factor (last 7199 min), 31.7% done. ETC 2022-04-08 16:36

That should finish on 4-08, and then I'll start sieving 8e14-1e15. That will be my last range since there are so few factors being found now.

After sieving to 6e14 we're down to 8272 candidates. I'll post all factors found and the remaining candidates once I finish sieving to 1e15 (around the end of April).

[WraithX]

After sieving to 1e15, we are now down to 8158 candidate Sm(n), with 1e6 < n < 2e6.

I have attached the remaining candidates file and a factors file containing all known factors f, with 1e9 < f < 1e15.
There were 6927 factors found for 5389 Sm(n) numbers.

I do not plan to run any more sieving on this range. If anyone else would like to run additional sieving, please feel free to do so.

I have set up a prpnet server to run prp tests on the remaining candidates.
Each prp test takes a minimum of 16 days.
If anyone is interested in committing to long prp computations on this project, let me know in this thread and I can post the prpnet details.


Here is the end of the output from smsievecl:

  p=999990258846437, 3.441M p/sec, 61 factors found at 61035 sec per factor (las
  p=999997456614007, 3.441M p/sec, 61 factors found at 61035 sec per factor (last 7199 min), 100.0% done. ETC 2022-04-28 08:02
Sieve completed at p=1000000036940719.
CPU time: 1670439.61 sec. (271975.40 sieving) (0.99 cores) GPU time: 1383720.50 sec.
8158 terms written to smar09.txt
Primes tested: 5808681123840.  Factors found: 61.  Remaining terms: 8158.  Time: 1690330.99 seconds.

Here are the entries from the smsieve.log file:

2022-01-29 08:22:12: Sieve started: 1e14 < p < 2e14 with 8748 terms (1000129 <= n <= 1999801) (expecting 184 factors)
2022-02-08 11:33:04: Sieve completed at p=200000049708791.  Primes tested 3065484410880.  Found 179 factors.  8569 terms remaining.  Time 875451.53 seconds

2022-02-08 11:46:12: Sieve started: 2e14 < p < 3e14 with 8569 terms (1000129 <= n <= 1999801) (expecting 104 factors)
2022-02-18 12:17:20: Sieve completed at p=300000119667161.  Primes tested 3017020538880.  Found 119 factors.  8450 terms remaining.  Time 865867.83 seconds

2022-02-18 12:59:28: Sieve started: 3e14 < p < 4e14 with 8450 terms (1000129 <= n <= 1999801) (expecting 72 factors)
2022-02-28 09:07:06: Sieve completed at p=400000084943539.  Primes tested 2986385080320.  Found 74 factors.  8376 terms remaining.  Time 850057.31 seconds

2022-02-28 12:47:22: Sieve started: 4e14 < p < 6e14 with 8376 terms (1000129 <= n <= 1999801) (expecting 100 factors)
2022-03-20 02:12:35: Sieve completed at p=600000084815713.  Primes tested 5910433628160.  Found 104 factors.  8272 terms remaining.  Time 1686312.49 seconds

2022-03-20 07:00:52: Sieve started: 6e14 < p < 8e14 with 8272 terms (1000129 <= n <= 1999801) (expecting 69 factors)
2022-04-08 18:15:33: Sieve completed at p=800000033082977.  Primes tested 5851636039680.  Found 53 factors.  8219 terms remaining.  Time 1682081.46 seconds

2022-04-08 18:29:55: Sieve started: 8e14 < p < 1e15 with 8219 terms (1000129 <= n <= 1999801) (expecting 53 factors)
2022-04-28 08:02:06: Sieve completed at p=1000000036940719.  Primes tested 5808681123840.  Found 61 factors.  8158 terms remaining.  Time 1690330.99 seconds