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-   -   Proposed change on Summary of TJAOI TF activity on PrimeNet (https://www.mersenneforum.org/showthread.php?t=27001)

alpertron 2021-07-14 13:04

Proposed change on Summary of TJAOI TF activity on PrimeNet
 
By reading the page [URL="https://www.mersenne.ca/tjaoi.php"]Summart of TJAOI TF activity on Primenet[/URL] we can see the number of factors found by this user classified by bit range.

I would like the table to include a column with the number of known factors classified by bit range, to appreciate better the contribution of TJAOI to the database. Another column could be added that shows the factors found by ECM by him.

James Heinrich 2021-07-15 00:45

[QUOTE=alpertron;583183]I would like the table to include a column with the number of known factors classified by bit range, to appreciate better the contribution of TJAOI to the database. Another column could be added that shows the factors found by ECM by him.[/QUOTE]Do I understand you correctly? You would like 3(?) columns added:
* total number of known factors of this bit-size (found by everyone, not just TJAOI)
* split factors-found-by-TJAOI into TF and ECM

alpertron 2021-07-15 00:55

Yes, that's correct. Thanks in advance.

James Heinrich 2021-07-15 03:55

The total number of all known factors by bitsize wasn't readily-available data, but I've made it work:
[url]https://www.mersenne.ca/tjaoi.php?details=1[/url]

kruoli 2021-07-15 08:20

That's impressive. There are multiple bit levels where TJAOI found more than half of all factors. Thanks, TJOAI! :smile: And of course thanks, James!

alpertron 2021-07-15 12:33

Thanks James for the new table. I assume that there are factors found by him using ECM with 71 bits and with more than 72 bits that are not shown in this table.

PS: It appears that the number of factors with n bits is about k / (n-1/2), where k = 50,847,534 is the number of primes below 1,000,000,000.

James Heinrich 2021-07-15 13:15

[QUOTE=alpertron;583234]I assume that there are factors found by him using ECM with 71 bits and with more than 72 bits that are not shown in this table.[/QUOTE]Thanks for pointing that out, that data should show up now.

alpertron 2021-07-15 13:30

Yes, I see the new data. Thanks a lot.

alpertron 2021-07-15 14:32

A minor change in the header of the table. "Date" should be "Date TF".

James Heinrich 2021-07-15 14:53

Thanks, changed.


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