After a small research project into these types of numbers, I set up a script to seek out amicable pairs. You can see the results here: https://safe-eyrie-79589.herokuapp.com/ After running this for ‘a while’, I was pointed to this: https://sech.me/boinc/Amicable/ This appears to have found much larger pairs and so I am now putting my compute power behind this.
My interest in prime numbers led me to build a script to search for primes with certain properties. Currently, my server is looking for prime numbers composed only of the digits zero and one. You can see the latest prime here: https://stormy-river-35030.herokuapp.com/