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How are you so certain there is no private key? Every address requires a private key. Unless you are saying they just typed the public address without knowing the private key?
Exactly. They typed out a few words and calculated the required checksum at the end to make it a valid address.
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This address represents a P2PKH, so the hash160(public key) = 759d6677091e973b9e9d99f19c68fbf43e3f05f9. I don't understand the math well enough to know if there is a public key that satisfies that equation, but if there is, then a private key exists as well.
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