I'm wondering how total mileage graphs with increasing Eddington number. I've just noticed that in my most recent 5000k of riding I have a metric Eddington number of 50, and somehow that seems about average (twice the minimum distance required). But is that anywhere near right on a larger sample or over a wider range?
The minimum distance you need to ride to achieve an Eddington number is the square of the Eddington number - so if you had only ridden 50 rides and they were all 50 miles long there would be no superfluous mileage - and you would get it done in 2500 miles. OF course, no one does this, and of course in this example, you would have no riders to count for E51 and above - if you wanted to get to 100 you'd need to do another 100 x 100 rides.
I've kept records on a spreadsheet of my rides over 20 years so you can see how things might progress - although with Audax and other things - over the last 5 years I have tended to do longer rides which helps advance the Eddington number.
Year Cumulative Miles Eddington Miles/Eddington
1995 859 20 43
1996 1694 31 54
1997 2814 36 78
1998 4114 40 102
1999 5557 42 132
2000 7951 47 169
2001 11298 51 221 (about 7500 miles more than minimum necessary for E=50)
2002 14482 56 258
2003 18241 61 299
2004 21821 63 346
2005 25822 68 379
2006 29842 72 414
2007 35450 75 472 (About 29000 miles more than minimum necessary for E = 75)
2008 41804 80 522
2009 47122 82 574
2010 54599 93 587 (Normally if my ride gets to 90+ I do the bit extra to get the ton)
2011 61601 100 616 (It was about 48000 miles more than minimum necessary for E = 100)
2012 69461 101 674 (My maximum mileage in a year but E only went up 1 because of all the 100 mile rides)
2013 74975 103 728
2014 80905 109 742
2015 87000 113 770 (To date - about 74,000 miles more than the minimum necessary for E = 100
The Eddington numbers are understated because I count multi day events (such as 600km Audaxes) as single rides, if I followed miles ridden in a day my E would be approximately 125 (but I've no way of measuring as I don't tend to care where I am and how far I've gone exactly at midnight on such events).
To give an idea of how hard it gets, I've ridden 80 x 100 mile rides since June 2011 to increase my Eddington number from 100 to 113. I need 4 x 114+ rides to get to E = 114 which will probably be April next year, and on current progress I will get to E = 125 by 2019 and E = 130 by 2025.