I hope you are not talking about me here, and I hope you know that if you add 1 to your public key, you have actually added 1 to your private key, but you already knew that right?
If either of us knew the private key of a randomly given public key, we wouldn't be here would we?
Just let me find out how this backdoor fella is going to divide a key by x 0.5ing it. Lol.
Sorry, I didn't know that, and I actually have no idea what you are trying to convey. Show me an example of adding integers to points on an elliptic curve that would simultaneously result in the same increase in the size of private keys. Or adding one equals performing additional multiplication (adding two points, not integers to point), which also means that we can't measure this "added one" and we can't really calculate public key + 1 without knowing the private key beforehand. These guys above claim that it is possible to calculate private key p + 1 just by knowing a public key generated from private key p, but I think they haven't proved that this is actually possible.
No one claims they can derive private key from public key, but the thing is if you add a "1" to your public key, it will actually add G to your public key 1 time, subtracting works the same, and he claimed the same, never said he can guess your private key.
Maybe you haven't paid attention, the whole security of bitcoin keys is in high bit range, if you select low bit range key, it would be easy to brute force it by a new method I have invented, I call it checkpoint attack!😉