How many addresses can generate one private key?

[filord777]

I hear that one private key can generate many addresses. Is it possible to generate a million addresses by only one private key?

[1715504435]

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[1715504435]

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[1715504435]

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[BurtW]

You have that backwards.

On average a single Bitcoin address will map to 2^256-160 = 2⁹⁶ key pairs.

That is way more than a million.

But a given key pair will map to only one Bitcoin address.

(Well a key pair has two possible representations so in fact there are two Bitcoin addresses for each key pair because the two different representations of the public key:  compressed and uncompressed, each map to a different Bitcoin address)

[byt411]

You have that backwards.

On average a single Bitcoin address will map to 2^256-160 = 2⁹⁶ key pairs.

That is way more than a million.

But a given key pair will map to only one Bitcoin address.

(Well a key pair has two possible representations so in fact there are two Bitcoin addresses for each key pair because the two different representations of the public key:  compressed and uncompressed, each map to a different Bitcoin address)

Exactly. Your question is incorrectly phrased, addresses cannot generate private keys, it's private keys that generate addresses.