We are taking a break from subfield 3 and resuming the search over subfield 6.

The main reason for this is we have not found anything new in about 6 months. It's hard to put a percentage on it, but I am 99.99% confident that this search over sf3 is complete. It seems resources would be better spent on a search that will actually find new fields.

We can always finish sf3 at a later time, if for no other reason than to say it is complete with 100% confidence.

In my opinion it is either 100% complete with 100% confidence, or mathematically incomplete. If there actually isn't anything more to discover, that means we set a bound that is too loose, which could be interesting to investigate.

I also want to ask a question. Are there any peer-reviewed publications/grants/awards/anything related to NumberFields@home 2019-2022? If we kept finding nothing, using the resources more wisely can be a great idea.

We are using the best known theoretical bounds. So yes, they might be too loose, but someone smarter than me would have to find a way of making them tighter.

We had a journal article published back in 2019 for degree 7 fields. The plan was to eventually publish the results of the current degree 10 searches. We would most likely complete the search over sf3 before publication.

Can you guys create some progress bars to tell how the search progress is? As a non-math guy, it's hard for me and other people like me to understand what the subfield is, how many subfields are there, and how large is each subfield. Just curious about the it, and I do understand if you guys are busy and don't have time for this.
Go sun devils!

Can you guys create some progress bars to tell how the search progress is? As a non-math guy, it's hard for me and other people like me to understand what the subfield is, how many subfields are there, and how large is each subfield. Just curious about the it, and I do understand if you guys are busy and don't have time for this.
Go sun devils!

Have you taken a look at the batch status tables:
https://numberfields.asu.edu/NumberFields/batch_status.html

There were originally 7 subfields, now only 3 remain: 3, 6, and 7. Each row in the tables represents a separate search for a specific discriminant bound. The 2 dimensional version of the tables shows the sub-batches better, but the linear version gives the progress information, you just need to scroll down to the line that's active (currently sf6 DS10x12).

I hope that helps!

Thank you so much! Batch status is what I was looking for. Sorry about missed it... Great work!

Row 10 of subfield 6 is nearing completion. After that we will be moving to row 13 of subfield 7. The first case, DS13x11, was generated before the improved apps, so it will run faster than usual.

When can we get back to subfield 3 and finish it up?

When can we get back to subfield 3 and finish it up?

Row 13 of subfield 7 is the last of the batches that were generated years ago, so that's the main reason for closing those out.

Finishing subfield 3 could come after that, but I haven't decided yet.

We are now working on DS14x12, at time of writing there is 530 days (1 year 5.42 months) remaining until this will be completed. 1% has already been completed

In preparation for the final row of the sf6 search, I will be dumping a relatively small number of tasks (~60k). These are for the 16x7 case. The first part of row 16 was run years ago with the inefficient app, so this quick search is necessary to get proper timing stats with the latest app.

After that, it's back to row 15, which should keep us busy through the end of the summer.

Thanks for the update.
It's nice to know what's going on and why.

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Grant
Darwin NT, Australia.