is it possible to iterate through private keys within a given range while instantly filtering out "unreliable" keys, without affecting the speed of the iteration itself?
NO. No, it’s not possible to pre-filter or skip private keys in a meaningful way that speeds up Bitcoin private key brute-forcing.
Every integer in the range [1, n–1] (where n is the SECP256K1 curve order) is a valid private key. There’s no cryptographic method to predict whether a key will generate a used or empty address without fully computing its public key and address.
There is no "magic circle" or remote viewer who can predict this.
Even if you were God the Father, you couldn’t bypass the mathematics.There’s no mathematical shortcut to determine which keys will map to specific address patterns without performing the full computation.
All operations must be performed modulo n (where n is the curve order). The mod p operation (for SECP256K1) must be applied to every candidate—this is non-negotiable for valid elliptic curve cryptography (ECC) operations.
The relationship between input numbers and their reduced forms is non-linear.
The real computational bottleneck isn’t in checking keys but in the elliptic curve multiplication (ModMulK) required to derive public keys from private keys.
Even with highly optimized libraries like SECP256K1, you’re limited to roughly 6 million keys per second per CPU core (e.g., using Cyclone) on high-end hardware