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seems fun. like boinc. i wish there was more boinc.
Could you make the tracking a little bit better for the website? I turned off my machine but it is still saying "Active" and the compute time keeps increasing on the website.
Just curious - is there any practical significance/use of such large primes, other than publishing?
Very large primes are not a particularly useful result.

The mathematical tools which people develop along the way to finding them can be useful for other number theory problems.

The largest known prime could be considered a universal scientific benchmark.

It is also a concise statement that is trivial to verify.

(by "trivial" meaning much much easier to verify than to discover in the first place)