🎲Probability of Mystic Tree Appearance

Between the ethscription number range of 1 million to 2 million, there are 70,435 primes. This means that, disregarding the ethscription number, the chance of randomly planting a tree and it becoming a mystic tree is approximately 7%.

Range	Primes Count	Chance
100,000 - 200,000	8,392	8.39%
200,000 - 300,000	8,013	8.01%
1,000,000 - 2,000,000	70,435	7.04%
2,000,000 - 3,000,000	67,883	6.79%
10,000,000 - 20,000,000	606,028	6.06%
20,000,000 - 30,000,000	587,252	5.87%

This indicates that as the total number of ethscriptions inevitably grows, the probability of mystic trees appearing continues to decrease. The total number of mystic trees is unlimited, but the likelihood of their appearance will endlessly diminish.

However, the actual situation isn't always so straightforward. Because the ethscription number can be calculated, when you know the latest ethscription number, you can estimate when the next prime will appear (only when there's a slowdown in Ethscriptions activity, otherwise, a large influx of new ethscriptions would overwhelm you). This means, when the growth of ethscriptions slows down, mystic trees become predictable and easier to obtain. Conversely, when ethscriptions grow rapidly, it's hard to accurately predict the next prime's position due to many new ethscriptions disrupting your observation.

Limited by blockchain congestion and indexing delays, the appearance speed of ethscription numbers will be slow sometimes. Possibly hundreds or even thousands of newly ethscribed items may not promptly receive an ethscription number. During such times, the acquisition probability of a mystic tree is relatively random and mathematically generated.