Private key is a number. Is the question positive or negative? Is it possible to know a positive private key or negative if you only know the public key?
For instance:
Positive private key: 2
public key:
04C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE51AE168FEA63DC339A3C58419466CEAEEF7F632653266D0E1236431A950CFE52A
Negative Private Key:
FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413F
public key:
04C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5E51E970159C23CC65C3A7BE6B99315110809CD9ACD992F1EDC9BCE55AF301705
Now I will write two public keys to "3
" and "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD036413E
":
04F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9388F7B0F632DE8140FE337E62A37F3566500A99934C2231B6CB9FD7584B8E672
04F9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9C77084F09CD217EBF01CC819D5C80CA99AFF5666CB3DDCE4934602897B4715BD
How to determine which is a positive and which is a negative private key to these two public keys?