Quote from: digaran on June 12, 2023, 01:17:27 PM

Quote from: albert0bsd on June 12, 2023, 11:17:18 AM

Quote from: digaran on June 12, 2023, 08:44:46 AM

If the target key is not a prime number, you could find a divisor for it, it could either be an even number or an odd number, I guess nobody has ever tried it yet.😉

i try it two years ago, don't believe that you are the only guy who can think, i guess that some math guy already try all this some 30 or 20 years ago.

I wonder if 20, 30 years ago there was any incentive for the math guy to try things harder, but you know even if Newton hadn't discovered gravity we would still be living our lives, just because no one has found the solution doesn't mean the solution doesn't exist.

Quote from: BTC_Backdoor on June 12, 2023, 10:01:06 AM

Finally you reached the root problem or in other words security behind secp256k1. Figuring out Odd vs Even is literally the DLP itself. By far, any form of calculation on the curve won't work due to clock math nature of rounding around the resulting points.

But that going around the curve happens when you try division or + - with very large keys, if you limit your range of operation to a certain bit range, you could eventually find a check point.

For simplicity :

E.g. subtracting 200 from 1700 = 1500, subtracting 200 from 1500 = 1300, subtracting 1000 from 1300 = 300, subtracting 1700 from 2000 = *300!

* see how we reached our checkpoint so fast just with a few normal elementary math operations?

What makes it difficult is the size of the actual keys we are looking for, and what we are looking for is not even 0.1% of 2^256 range which most of the people's keys reside in.

So far this 0.xxxxxxxx% of the curve order has kicked our asses collectively. 🤣

You're some kind of naive person)) Do you honestly think that Satoshi came up with some kind of magical thing called bitcoin? I'll tell you a secret - elliptic curves were engaged in 2000 BC in Iran)))
ECDSA and Secp256k1 - this is not invented by Satoshi!))
This is the encryption standard - the US National Security Agency - it has been used for many many years - to encrypt messages! This is mainly used by the military and special services!