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When I try to connect to my SSH remotely, will the password I send to authenticate my user account be encrypted when it's transferred over the internet?

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Yes, the password sent will be encrypted. In the bootstrapping phase of the SSH session the SSH server sends the client its public key which the client uses to encrypt the key to some symmetric cipher. The client then sends that cipher key to the server. The server uses its private key to decrypt the cipher key. The client and server encrypt all data over the connection using the key and symmetric cipher thereafter.

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