mersenneforum.org Ranking and Speed
 Register FAQ Search Today's Posts Mark Forums Read

 2008-03-31, 20:44 #1 nngs     Jun 2004 3C16 Posts Ranking and Speed I found a very interesting thing about LL ranking and LL (computing) speed. First, let me list some data: RankingPlace versus LL speed the 1st place --- 237 (P90)year/day (from http://www.teamprimerib.com/rr1/bin/top.php) the 100th --- 2.136 year/day (not the speed of the ID currently at 100th place, but the speed of the 100th place, based on the data recorded during past 300 days) the 500th --- 0.510 year/day the 1000th --- 0.263 year/day The data show that it is roughly true (but I don't know why) that Speed(Nth place) = Speed (1st place) / N Assume this holds OK for any ranking place, now you can estimate where is the highest ranking you can reach ("theoretically")
 2008-03-31, 21:23 #2 nngs     Jun 2004 22×3×5 Posts To describe this in another way, There is a number X. if your rank N times your speed V (in p90year/day) is greater than X, you will move up in the ranking list; otherwise you will move downward and lost your current ranking place (surpassed by others). I guess currently X ~ 240 +/- 20 p90yrs/day (for LL ranking) To be more clearly, N*V > 260 ---> move upward 220< N*V <260 ---> probably stay in same place for quite while N*V<260 ---> move downward Last fiddled with by nngs on 2008-03-31 at 21:30

 Similar Threads Thread Thread Starter Forum Replies Last Post a1call Miscellaneous Math 8 2018-02-04 03:14 jwaltos Forum Feedback 8 2015-03-13 17:01 dabaichi Programming 5 2011-12-28 02:24 grobie Riesel Prime Search 2 2006-01-18 17:56 dsouza123 Programming 12 2003-11-23 03:10

All times are UTC. The time now is 18:10.

Sat Jul 24 18:10:07 UTC 2021 up 1 day, 12:39, 1 user, load averages: 1.93, 1.78, 1.74