Bob, try opening this page in Chrome: https://www.gov.gr/ipiresies/ugeia-kai- ... gographese
and it should be in English. This is part way through my original description but I think it will work.
At the bottom click on the blue button labelled "Login to service". That opens a new page but still on the same tab https://ehealth.gov.gr/p-rv/p
If that page is in Greek right click on a blank part of the page and select "translate to English" from the drop down menu. That should have another blue button labelled "Login to service" so left click on that. This time it opens a new tab
with boxes for TAXISNet username and password. Enter those and click on Εισοδος.
That opens a new page with a button labelled "Εξουσιοδοτηση". Left click on the button. That might do one of two things. It might just go back to the panel with the username and password so it appears to have failed. If it does that go back to the first tab
and you should see a box to enter your AMKA number. If you are lucky it might automatically jump back to the first tab with the AMKA box. Either way enter the AMKA number and click on the button and you should get to the page where you can register your mobile number and email address.
To get a new prescription you phone your doctor and ask them to issue you with repeat prescriptions using the e-prescription service. I normally get 3 months worth. When the doctor inputs the prescription on the AMKA system it is automatically sent immediately to your mobile as 3 separate SMS messages and 3 email messages each with a unique prescription code.