There once lived a really cool dude. His name was P. One day he decided to sell coins. He estimated each coin according to the formula (F1):

F1

At exactly the same time was living another сool dude named R. He figured to buy P. coins and spend $300,000,000 on them. But, he would like to know:

« How many coins P. sells for him according to the formula above? ↑ »

Let’s help R.

A bit of math

Exponential Rate — a sequence of numbers.

The kind when the following value of every next number equal to the previous value, multiplied by q— progression denominator

So we obtain a formula number 2 (F2):

F2

F1 and F2 implies that:

and let’s note

..Ok, how much is the cost of the last 5-billionth coin:

In total It’s ≈$15

Total sum of 5 billion coins =

It’s over ≈ $15,000, 000, 000 *In fact, It’s about 10% BTC capitalization*

Let’s back to our reference and note that the sum of the first n numbers of exponential rate is defined by the formula:

F3

Put the cost value of the first coin, progression denominator, and the sum of the purchase we got:

that implies

What does it mean?

Hm, that means that the total amount of coins, that must go to R. are

tightly clamped by the ratio:

If 2’200’000’000 coins were sold, then R. hold 63%

RIDDLE.

Where is the decentralization?

Source:

https://relayto.com/relayto/telegram-open-network-ton-ico-whitepaper-6kf4rycn/pdf