First log in on 192.168.30.72 as user user1 and generate a pair of authentication keys. Do not enter a passphrase:
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user1@192.168.30.72:~> ssh-keygen -t rsa
Generating public/private rsa key pair.
Enter file in which to save the key (/home/a/.ssh/id_rsa):
Created directory '/home/a/.ssh'.
Enter passphrase (empty for no passphrase):
Enter same passphrase again:
Your identification has been saved in /home/a/.ssh/id_rsa.
Your public key has been saved in /home/a/.ssh/id_rsa.pub.
The key fingerprint is:
3e:4f:05:79:3a:9f:96:7c:3b:ad:e9:58:37:bc:37:e4 a@A
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Now use ssh to create a directory ~/.ssh as user b on B. (The directory may already exist, which is fine):
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user1@192.168.30.72:~> ssh user1@192.168.30.178 mkdir -p .ssh
user1@192.168.30.178's password:
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Finally append a's new public key to user1@192.168.30.178:.ssh/authorized_keys and enter user1's password one last time:
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user1@192.168.30.72:~> cat .ssh/id_rsa.pub
ssh user1@192.168.30.178 'cat >> .ssh/authorized_keys'
user1@192.168.30.178's password:
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From now on you can log into B as b from A as a without password:
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user1@192.168.30.72:~> ssh user1@192.168.30.178
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