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Old 2021-07-14, 13:04   #1
alpertron
 
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Default Proposed change on Summary of TJAOI TF activity on PrimeNet

By reading the page Summart of TJAOI TF activity on Primenet 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.
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Old 2021-07-15, 00:45   #2
James Heinrich
 
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Quote:
Originally Posted by alpertron View Post
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.
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
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Old 2021-07-15, 00:55   #3
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Yes, that's correct. Thanks in advance.
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Old 2021-07-15, 03:55   #4
James Heinrich
 
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The total number of all known factors by bitsize wasn't readily-available data, but I've made it work:
https://www.mersenne.ca/tjaoi.php?details=1
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Old 2021-07-15, 08:20   #5
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That's impressive. There are multiple bit levels where TJAOI found more than half of all factors. Thanks, TJOAI! And of course thanks, James!
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Old 2021-07-15, 12:33   #6
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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.

Last fiddled with by alpertron on 2021-07-15 at 13:32
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Old 2021-07-15, 13:15   #7
James Heinrich
 
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Quote:
Originally Posted by alpertron View Post
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.
Thanks for pointing that out, that data should show up now.
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Old 2021-07-15, 13:30   #8
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Yes, I see the new data. Thanks a lot.
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Old 2021-07-15, 14:32   #9
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A minor change in the header of the table. "Date" should be "Date TF".
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Old 2021-07-15, 14:53   #10
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Thanks, changed.
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