41M tp 41.564.009 up to 2^60

Thomas11 · 2003-04-30, 11:35

just closing the gap ...

Thomas11 · 2003-09-13, 11:11

I've just finished that range. The results will be send to George this minute.

Thomas11 · 2003-09-13, 11:24

Just for the statistics:

511 factores were found and a total of 14760 candidates have been tested from 2^58 to 2^60.

That makes a factorization rate of 3.46%.

tom11784 · 2003-09-13, 16:37

versus the estimated 2/58 ~ 3.448%

Wolf · 2003-09-13, 18:58

Quote:

Originally posted by tom11784
versus the estimated 2/58 ~ 3.448%

I think the estimate should be 1/58 + 1/59 ~ 3.419% but yours is nearer the actual rate!

tom11784 · 2003-09-13, 20:02

oops....did my math wrong, but 2/59 would be closer using the rough method since you have 1/58 for the 59th bit, and 1/59 of the remaining (57/58) that weren't in the 59th bit, which can be evaluated to (59/58)/59 + (57/58)/59 = 2/59 ~ 3.390%

However, these are only estimations and not all ranges behave nicely to estimations.

2003-04-30, 11:35	#1
Thomas11 Feb 2003 2⁷·3·5 Posts	41M tp 41.564.009 up to 2^60 just closing the gap ...

2003-09-13, 11:11	#2
Thomas11 Feb 2003 2⁷×3×5 Posts	41M to 41.564.009 up to 2^60 finished I've just finished that range. The results will be send to George this minute.

2003-09-13, 11:24	#3
Thomas11 Feb 2003 2⁷×3×5 Posts	Just for the statistics: 511 factores were found and a total of 14760 candidates have been tested from 2^58 to 2^60. That makes a factorization rate of 3.46%.

2003-09-13, 16:37	#4
tom11784 Aug 2003 Upstate NY, USA 101000110₂ Posts	versus the estimated 2/58 ~ 3.448%

2003-09-13, 20:02	#6
tom11784 Aug 2003 Upstate NY, USA 146₁₆ Posts	oops....did my math wrong, but 2/59 would be closer using the rough method since you have 1/58 for the 59th bit, and 1/59 of the remaining (57/58) that weren't in the 59th bit, which can be evaluated to (59/58)/59 + (57/58)/59 = 2/59 ~ 3.390% However, these are only estimations and not all ranges behave nicely to estimations.