this is how safe your privat key is

Can someone guess your private key?

Yes, in theory it is possible, but in today's world it is simply impossible. Today I will show you why:

​

As we all know, there are approximately 2^256 Bitcoin private keys. To put that into perspective, that's a 1 followed by 77 zeros.

(115 quattuorvigintillion 792 trevigintillion 89 duovigintillion 237 unvigintillion 316 vigintillion 195 novemdecillion 423 octodecillion 570 septendecillion 985 sexdecillion 8 quindecillion 687 quattuordecillion 907 tredecillion 853 duodecillion 269 undecillion 984 decillion 665 nonillion 640 octillion 564 septillion 39 sextillion 457 quintillion 584 quadrillion 7 trillion 913 billion 129 million 639 thousand 936)

that would be the exact number...

So there are 10^77 private keys, that should mean logically, that with trying, you can guess a specific key. In practice, with today's technology, this is simply not possible.

To put this into perspective a bit.

- There are about 10^18 grains of sand on our planet.

- There are 10^25 drops of water on our planet. (assuming that there are 1.322 billion cubic kilometers of ocean on Earth and one drop of water is 0.05 ml).

- There are about 10^78 atoms in the whole universe.

There are therefore about the same number of atoms as there are private keys. So I could choose one atom and hide it in the billions of galaxies and you can go and find it... have fun...

Only the thought from how many atoms the human body consists.

​

​

Now let's do a thought experiment:

Let's assume we have a computer which can try 1 billion private keys per second.

- 60 billion keys every minute

- 3'600 billion keys every hour

- 86'400 billion keys every day

- 31'536'000 billion keys every year

--> this means that we could try about 3.1536 x 10^16 keys per year.

​

There are 10^77 private keys, means

10^77/10^16 gives 10^61 Years

​

So if we could guess 1 billion private keys per second it would go 10^61 years.

The universe is about 10^9 years old.

​

Comparison:

10^61= 1 with 61 zeros

10^9= 1 with 9 zeros

​

Does it make now slowly more sense that it is nearly impossible?

​

Now some surely ask themselves the question whether quantum computers would be able?

​

A 256 qubit Quantum computer could hack Bitcoin in seconds. However, quantum computers are future and until then Bitcoin can still be developed. In addition, quantum computers also have the option to hack into any banking system, database, or anything else. So many other dangers would arise.