Quote from: Cricktor on July 15, 2024, 09:01:48 PM

Why don't you use well known and reputable ressources to learn step-by-step the basics of Bitcoin transactions?

I'd rather go to https://learnmeabitcoin.com (in the technical section it get's quite detailed and deep down the rabbit hole) or quite a bit dryer Mastering Bitcoin 3rd Edition. Sorry, I didn't bother to hop to your source link and read what's presented there. Could be good, could be bad, no judgment.

Cricktor, Thanks for the link. From the main page I took the link named Technical. In the next page are links named Private Key and Public Key. The link Public Key provides a tool to make the translation on-line, but I could not recognize the specific steps to translate my private key number into a public key.

I tried this site also: https://learnmeabitcoin.com/technical/cryptography/elliptic-curve/#mathematics
It provides values:

a = 0, b = 7 meaning the curve equation is y^2 = x^3 + 7

It describes p as being: $p = 2 ** 256 - 2 ** 32 - 2 ** 9 - 2 ** 8 - 2 ** 7 - 2 ** 6 - 2 ** 4 - 1

Which I worked out to the hex number and which does not agree with another site that I cannot find again right now. For now presume this one is correct.

So generate my random number to become my private key.

Then generate a public address. Here is where several sites provide an online tool to enter a test private key and give you the public key. But none of the sites I have found spell out the arithmetic steps to do this? By arithmetic steps I ask for the addition, subtraction, multiply, and divide steps. And even taking a square or cube root of a number.

I presume that my random number is the x part of an x,y point on the curve equation y² = x³ + 7.

Then I must calculate y, the square root of x³ + 7. And must do this with 256 bit arithmetic. Actually, I suspect that 512 bits must be used for accuracy. And then I must use modulo p to keep the numbers within the 256 bit range.

If correct, then what?

So, please, where can I find the arithmetic steps to transform a private key into a public address?