Hello, John.
Thank you for your reply.
Previous to posting to this forum, I had tried your idea of typing xxx.xxx.xxx.xxx:5901 into the Screen Sharing IP address window field. Screen Sharing returned the following error message:
Connection failed to "xxx.xxx.xxx.xxx:5901".
Make sure Screen Sharing or Remote Management (in the Sharing section of System Preferences) is enabled on the remote computer.
I just tried this, again, a few moments ago. I obtained the same results. I have verified that the Screen Sharing settings on both home iMacs (old and new) are identical.
As I indicated, earlier, when I was using VNC servers and clients on my Macs and PCs, I could access four different computers (two Macs, two PCs) that resided on the same LAN, from one remote location. Having abandoned VNC servers and clients, a few years ago, and, using just OS X's built-in Screen Sharing, I can access only one home Mac remotely. (I don't use the PCs, anymore.)
I tried a few ideas, just now.
1: I typed yyy.yyy.yyy.yyy into the Screen Sharing IP address window field from my home new iMac. This is the IP address of the home old iMac. I had assigned this static IP address to this iMac, from within the AEBS, some time ago. Sure enough, I can access my home old iMac from my home new iMac.
2: I typed xxx.xxx.xxx.xxx:5901 into the Screen Sharing IP address window field from my home new iMac. This is the IP address of the home AEBS. This is the port number that I have assigned to the home old iMac, from within the AEBS. Screen Sharing returned the following error message:
Connection failed to "xxx.xxx.xxx.xxx:5901".
Make sure Screen Sharing or Remote Management (in the Sharing section of System Preferences) is enabled on the remote computer.
3: I typed xxx.xxx.xxx.xxx::5901 into the Screen Sharing IP address window field from my office iMac. Notice the double colon. This is the IP address of my home AEBS, and, the port number that I have assigned to the home old iMac, from within the AEBS. Screen Sharing presented the login window. I entered the login credentials. Screen Sharing opened a window for the home new iMac. I repeated this experiment by using ports 5902, 5903, 5904, 5905. I obtained the same results.
Seeing how the AEBS port forwarding assignments configuration setups for both the home old and new iMacs are identical (except for the port numbers), I'm wondering if this problem is just a syntax issue, when I enter the home AEBS router IP address and the home old iMac port number into the Screen Sharing IP address window field. Perhaps, a colon is not the correct separator for the IP address and the port number. It always was for most of the VNC servers/clients that I used, in the past. Although, I remember that one VNC application required double colons.
In summary, I can access my home old iMac from my home new iMac, by using the home old iMac LAN IP address, without a port number. However, I cannot access my home old iMac from my small business office iMac by using the home AEBs IP address and the home old iMac port number.
Your thoughts on all of this?
Thank you.