Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

So this thing keeps giving me stress and i need answer Huh

It's going to be ok. Take some deep breaths. No need to stress.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

So i know bitcoin private key is secure and there are 2^256 private keys and i also understand that it's impossible for 2 people to generate the same btc private key.

You're off to a good start. Already you understand more than the majority of crypto users.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

BUT what i think is possible is a bitcoin wallet generating a bitcoin address whose private key is in the range of 1 to say 10000??

That depends on what you mean when you say "possible".

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

then it's vulnerable to attack right?

Sure. If you generate a private key that is a relatively small integer (or very close to the high end of the range, or one that coincides with a sha256 hash of any common phrase or password), then it would be vulnerable.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

See basically a private key is an integer between 1 and 2^256 converted to hex right.

Effectively, yes. Perhaps a better way to think of it is that a private key is an element of data that can be represented by a computer as a set of 256 binary digits. Any set of binary digits can technically also be represented as a base10 integer, so therefore your private key (just like EVERYTHING a computer stores) can be represented as a base10 integer.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

So what's stopping Random number generator to pick a private key from say first few million integers??

Probability.

If your private key is generated randomly, then what you are saying is that it is generated by randomly choosing either a 1 or a 0 for each one of the 256 binary digits. Ending up with a private key that translates to an integer less than 1,000,000,000,000 is equivalent to randomly flipping a completely balanced coin and having it come up the exact same way 216 TIMES IN A ROW, and then for the remaining 40 flips it sometimes comes up one way and sometimes the other. Think about that for a bit, maybe even try it yourself with a coin. How many lifetimes of the universe do you think you'd need to continuously flip that perfect coin before it would come up the same way 216 times in a row? Is it realistic that it will ever happen? Is it "possible" the way a normal person would think of things being possible?

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

Isn't this a vulnerability?

No.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

Of course, advanced user can simply convert their private key to hex and to decimal to check if it's a large enough integer

You could if you're actually concerned about it.

Quote from: NinjaBitcoiner on November 16, 2022, 05:38:27 PM

but what about noobies?

Regarding this concern, they'll be fine. There are MUCH more common problems for them to worry about and mess up.