From: Wei Dai (weidai@eskimo.com)
Date: Sat Jun 08 2002 - 05:29:53 MDT
On Fri, Jun 07, 2002 at 12:24:09AM -0700, spike66 wrote:
> My gift to the extropian math fetishers is to offer the opportunity
> to snag the world record for the best odd number. Simply find
> the nearest prime to 1493986278130039, then multiply
> 3*5*7*11*389*29953*128194559*(nearest prime to
^---- this should be 29959
> 1493986278130039).
The first prime after 1493986278130039 is 1493986278130109. Let x =
3*5*7*11*389*29959*128194559*1493986278130109 =
2577953620832415749860647015090555. Let y = sum of divisors of x =
5155907241664835264565907292160000. y/x - 2 = 1.46E-15, so this is
actually a worse number than the previous one in the series. Each number
in your series after this one becomes worse and worse, but by a tinier
amount each time.
On the other hand, consider the product of {3, 5, 7, 11, 389, 29959,
128194589, 566684450325197, 29753376105337343078941364947,
30082232218581187462432471034748868284388270918928732239}. This number has
a goodness ratio of about 1.24E-110.
BTW, I missed the start of this thread. What was the point of finding
almost perfect odd numbers again?
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