lol ok explain

that isnt the case. All valid private keys get assigned. Show me a valid private key within range that you cant convert to a valid bitcoin address. You cant!!! ALL 115,792,089,237,316,195,423,570,985,008,687,907,852,837,564,279,074,904,382,605,163,141,518,161,494,336 valid private keys can be converted into 1,461,501,637,330,902,918,203,684,832,716,283,019,655,932,542,976 bitcoin addresses!!!

Where did you hear that?  That has NEVER been believed to be true by anyone that understood how Bitcoin works.  There have been hundreds of conversations over the past 12 years discussing exactly what you seem to have just discovered.

It's not even true that there is only 1 address per private key.  Each key can be associated with multiple addresses, since an address is just a representation of a script.

What IS true is that there is 1 bitcoin address of each standard type associated with each private key.


On average.

I'm not certain, but I believe that some addresses may have more private keys than that, and others may have less.


There are a lot of different types of addresses.  However, if you are talking about addresses that are based on RIPEMD160, then you are not wrong.  However, there are SO MANY private keys, that there isn't really any concern that two randomly generated private keys will result in the same address, and the search space 2¹⁶⁰ is still too big for any brute force attempt.

It is not the "weakest" part of bitcoin.

The secp256k1 curve which bitcoin uses provides keys of 256 bits in length, with 128 bits of security. Take a look at page 4 of the relevant Standard for Efficient Cryptography. If someone wanted to try to calculate a private key which corresponds to your address, then it would take them in the order of 2¹²⁸ operations to solve the elliptic curve discrete logarithm problem for your public key to do so. So, having to generate 2¹⁶⁰ private keys and calculate the corresponding address is exponential harder.

That's why a 12 word 128 bit seed phrase is perfectly adequate, and why having "only" 2¹⁶⁰ addresses is not a security issue.

What is missing in that sentence is the phrase “on average”. You can't know how many private keys lead to the same Bitcoin address, unless if you try them all and start counting! Based on those numbers, we can say that there are around 2⁹⁶ keys that once are put through RIPEMD-160, you get the same 160-bit message digest.

But that number shouldn't scare you; Brute forcing an address may be easier if there are around 2⁹⁶ keys that satisfy the conditions, but you have to understand how big 2¹⁶⁰ is. To avoid re-writing the same texts, here are two of my previous posts related with this meaningless procedure:

Re: Can Bitcoin be hacked? Has it ever been hacked?
Re: Generating and Storing ALL keys