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Re: 4096 bit keys but 2048 bit connection

No. Any combination is possible. The server has its own set of private keys, that are in no way related your private keys.

4096 bit keys but 2048 bit connection

I'm authenticating on a server using a pair of public and private 4096 bit Rsa keys, but once the connection is established, clicking on the yellow padlock, under "Server host key fingerprints" appears "Alghoritm: ssh-rsa 2048".

I have assumed that the asymmetric encryption with 4096 bit keys occurs only for the exchange of a symmetric key and then the entire session occurs with a 2048 bit encrypted connection: is my assumption correct or is there another explanation ?