Quote from: kTimesG on February 27, 2024, 11:12:35 PM

Quote from: WanderingPhilospher on February 17, 2024, 08:20:17 PM

Regardless of the math used, eventually you have to transform the math into something, a public key, a h160, whatever type collision/match you are looking for.

Everything you listed is some math implementation.

Quote from: WanderingPhilospher on February 17, 2024, 08:20:17 PM

But let us say it's pure math, do the "math" for how long it takes a current CPU to do straight additions, just using numbers. And use a higher end CPU with say 5.0 mghz capability.

IMO, you have to eventually transform the pure math into what you are searching for, or have a precomputed list of something...so to me, it can never be, just math.

You're failing on the assumption that nobody, nowhere, will ever advance the math itself. Or contrarily on the assumption that somebody will prove one day that you do need "precomputed tables" - this hasn't happened yet as well. The concept of a logarithm was invented just a few centuries ago and immediately changed engineering as we know it. Until that point, math without logs was the peak of advancements in human knowledge. So I beg you pardon - it is foremost, before of anything else, the math, not the count of transistors jumbling around in logic gates in your CPU, GPU, ASIC, or whatever. Those are just tools, not the fundaments.

Quote from: WanderingPhilospher on February 17, 2024, 08:20:17 PM

I can give you a public key in a small bit range, and just using math, you would never solve/know if a match was found. Understand?

Arrogance much? What does "never" mean? Or is time only relevant when you zoom and peek into a nanosecond, a day, a trillion year? Maybe a single unit of Planck time?
Here's a hint: I start from 1 up to your N modulus, and I have a 100% probability that at some point I will break your key, or that at the end I can tell you a simple truth - that your key isn't in the finite cycle. Understand?

Ahhhh, finally, a response.

Maybe you should define, "pure math" before I indulge in a response, after all, that was the basis of my response. But to quickly answer your last comment, no arrogance, if you use pure math, as in 1+1, 1-1, 1/1, 1x1. or something thereof, just math, pure math, then no, you will never find a public key that I give you, it could be public key with a private key of 1, you would not find it with simply, pure math, because you have to transform it somehow, based on a curve's properties. Whether that be a public/wallet address, a public key, a hash160, something. You understand what I am saying?

Who cares if one can do pure math additions at 14613798463164873684768763487632847687468364243274687346242387468746846238746 key/s, it's cool and all, but without transforming it somehow, via whatever curve's properties, you simply just have a bunch of numbers.