How can I obtain my RSA Private Key?
Centurylink ZyXEL router
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A DH key exchange can't be decrypted via an RSA private key, and assuming that by "home web traffic" you mean home traffic to internet web sites, you won't be able to get the RSA private key (if they even use one) of those external sites.
See the Wiki page on TLS for more information about how to get access to the keying material required for decryption by Wireshark.
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Private key for what, an https webserver you control? Please add more context to your question about what you're trying to do rather than how you think you will solve the issue.
Note that depending on the ciphers and TLS version used the RSA private key may not be able to decrypt the data. See the wiki page on TLS for more info.
I am trying to monitor my home web traffic. I’ve used a key log file to enable TLS decryption, but receive the error “no decoder available”. Debug file states the session uses Diffie Hillman key exchange.
The only suggestion I’ve found was to obtain the pre master private key and enter it instead.