HELLO PEOPLE!
I would like a good explanation of how public keys are generated.
EQUATION OR FORMULA

y^2 = x^3 + 7
P = k * G
X = c^2 – 2px
Y = c (px – rx) – py

Private key: 1
Public key compressed : X = 0279BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798

So it should be ...

Private key: 2
Public key compressed: X =02F37CCCFDF3B97758AB40C52B9D0E160E0537F9B65B9C51B2B3E502B62DF02F30

Why public key compressed of 2 is: X = 02C6047F9441ED7D6D3045406E95C07CD85C778E4B8CEF3CA7ABAC09B95C709EE5?