On planet Brilliantia , exactly % of the population lives in cities with more than inhabitants :
The largest city is Brilliantown with exactly inhabitants.
The second largest city is Brilliantopolis wih half as many inhabitants as Brilliantown.
The population of the -th largest city follows exactly the rank-size rule i.e it has -th as many inhabitants as the largest one (rounded to the nearest integer.)
How many people are there on Brilliantia ?
NB : If you feel there is not enough information to properly answer the question, you can submit as your answer.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
We can notice that 1 7 5 0 4 5 0 4 0 < 3 0 0 0 0 0 hence the population will be :
0 . 3 5 1 × 5 0 4 5 0 4 0 × k = 1 ∑ 1 6 k 1 = 4 8 7 3 1 1 8 0 .