Dragaera

Powers of 17

Casey Rousseau casey at the-bat.net
Wed Sep 29 06:40:13 PDT 2004

lazarus wrote:
>
>On Wed, 29 Sep 2004 06:01:03 -0600, you wrote:
>
>>Mark Englehart wrote:
>>
>>> And as I recall in Jhereg Vlad informs us that the longest a House
>>> can hold the throne at a time is 17 to the 17th power.    That puts
>>> it way outside the lifetime of a single emperor.  

I'm certain you've misremembered that.  The limits were 17*17=289 or 17^2
and 17*17*17=4,913 or 17^3.  

>>Depending on what unit of time he was referring to, I don't remember.
>>
>>
>
>It's a big freaking number. 
>
>827,240,261,886,336,764,177

Indeed.  Not even Sethra (who's been around since the dawn of the empire)
has lived that long.

Minium reigns 289 years * 17 reigns per cycle * 17 cycles (one great cycle)
since the founding of the empire = 83,521 years (17^4)
Maximum reigns (note that these would be very long for one Drageran) 4913 *
17 * 17 = 1,419,857 (17^5).  All the reporting we've had from Vlad and
Paarfi is that Sethra is a couple hundred thousand years old.  This would
indicate that the average reign is much closer to the minimum than the
maximum.  

>I don't remember, how many days in a year on Dragaera?

289.  See Mark Mandel's site http://cracksandshards.com/time.html#calendar
for more discussion.

>It's got to be either days, hours, or minutes.  Or even seconds?

Days per reign is 17^4 to 17^5, There 30 hours in a day, 60 minutes in an
hour, 60 seconds in a minute or a bit more than 17^4 seconds to the year.
Thus even seconds per great cycle (less than 17^9) fail to reach anything
close to 17 to the 17th power.

Casey