Part 3 of the 10^21 search has started

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Sergei Chernykh
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Message 1862 - Posted: 27 Mar 2024, 10:24:42 UTC
Last modified: 9 Apr 2024, 9:24:03 UTC

Part 2 of the 1021 search will be finished, for the most part, today. There are still ~2000 unfinished WUs which can take up to a couple of weeks to complete, depending on individual participants processing them.

Part 3 of the search will look for amicable pairs where the smaller member of the pair has its largest prime factor between 1011 and 1014:

m=m1*p, 1011 < p < 1014

There are too many primes larger than 1014 (all primes up to 5*1019 need to be checked), so they will require a different approach and a new application when the time comes.

Most of the participants have already started getting part 3 WUs. The new work units will require ~2.5-2.7 GB RAM on CPU, and the same amount of RAM on GPU (for GPU applications), so the minimum requirement for GPUs will be 3 GB RAM.

Update April 9th, 2024: I found a bug in OpenCL applications, which resulted in many false negatives (around 12.5%). The bug was in the new code that I added for the part 3, so the previous search is unaffected. Version 3.09 has this bug fixed, but I had to restart the part 3. Luckily, we were only a couple of weeks in.
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Profile [AF>Amis des Lapins] Bipleouf

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Message 1863 - Posted: 27 Mar 2024, 12:01:09 UTC - in response to Message 1862.  

Très bonne nouvelle.
On est prêt pour manger toute cette nouvelle aventure.
Merci pour ton travail :)
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Vitaly

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Message 1871 - Posted: 28 Mar 2024, 19:19:40 UTC - in response to Message 1863.  

It is interesting how many other searches do you expect?
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Message 1876 - Posted: 3 Apr 2024, 1:31:00 UTC - in response to Message 1862.  

Thanks for the update, Sergei. I greatly appreciate the timely updates and explanations! I am delighted to be crunching on behalf of such a well-managed enterprise.
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Sergei Chernykh
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Message 1882 - Posted: 9 Apr 2024, 9:20:53 UTC
Last modified: 9 Apr 2024, 9:24:18 UTC

I found a bug in OpenCL applications, which resulted in many false negatives (around 12.5%). The bug was in the new code that I added for the part 3, so the previous search is unaffected. Version 3.09 has this bug fixed, but I had to restart the part 3. Luckily, we were only a couple of weeks in.
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Message 1883 - Posted: 9 Apr 2024, 10:49:01 UTC - in response to Message 1882.  

Good catch! Will all Part 3 WU's run on 3.08 need to be re-run? And if so, will the false-negative tasks and/or their earned credit be removed?
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Sergei Chernykh
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Message 1884 - Posted: 9 Apr 2024, 12:29:11 UTC - in response to Message 1883.  
Last modified: 9 Apr 2024, 12:29:35 UTC

All old v3.08 WUs need to be re-run (each WU missed ~12.5% of amicable pairs), but earned credit will remain.
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Message boards : News : Part 3 of the 10^21 search has started


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