Proposed change on Summary of TJAOI TF activity on PrimeNet

alpertron · 2021-07-14, 13:04

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.

James Heinrich · 2021-07-15, 00:45

Quote:

Originally Posted by alpertron

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

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:
https://www.mersenne.ca/tjaoi.php?details=1

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!

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:

Originally Posted by alpertron

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.

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.

Andrew Usher · 2022-12-06, 13:12

One might add a 'grand total' row for all bit levels, as well. I computed this myself for curiosity, and found that TJAOI should be credited with ~1/6 of all factors in the database!

2021-07-14, 13:04	#1
alpertron Aug 2002 Buenos Aires, Argentina 3×499 Posts	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.

2021-07-15, 12:33	#6
alpertron Aug 2002 Buenos Aires, Argentina 1497₁₀ Posts	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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2021-07-15, 00:55	#3
alpertron Aug 2002 Buenos Aires, Argentina 2731₈ Posts	Yes, that's correct. Thanks in advance.

2021-07-15, 03:55	#4
James Heinrich "James Heinrich" May 2004 ex-Northern Ontario 1000000000010₂ Posts	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

2021-07-15, 08:20	#5
kruoli "Oliver" Sep 2017 Porta Westfalica, DE 2·3·223 Posts	That's impressive. There are multiple bit levels where TJAOI found more than half of all factors. Thanks, TJOAI! And of course thanks, James!

2021-07-15, 13:30	#8
alpertron Aug 2002 Buenos Aires, Argentina 3·499 Posts	Yes, I see the new data. Thanks a lot.

2021-07-15, 14:32	#9
alpertron Aug 2002 Buenos Aires, Argentina 3·499 Posts	A minor change in the header of the table. "Date" should be "Date TF".

2021-07-15, 14:53	#10
James Heinrich "James Heinrich" May 2004 ex-Northern Ontario 2·3·683 Posts	Thanks, changed.

2022-12-06, 13:12	#11
Andrew Usher Dec 2022 2²·3·19 Posts	One might add a 'grand total' row for all bit levels, as well. I computed this myself for curiosity, and found that TJAOI should be credited with ~1/6 of all factors in the database!