MegaFavNumbers - The Even Amicable Numbers Conjecture

This video is part of the MegaFavNumbers project. Maths YouTubers have come together to make videos about their favourite numbers bigger than one million, which we are calling #MegaFavNumbers.

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Upload your videos to YouTube with the hashtag #MegaFavNumbers and with MegaFavNumbers in the title, and your video will be added to the megafavnumbers playlist.

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Amicable Numbers on Wikipedia:
https://en.wikipedia.org/wiki/Amicabl...

Here is a list of amicable numbers:
http://www.vaxasoftware.com/doc_eduen...

A list of sums of amicable numbers
https://oeis.org/A180164

Remember, a test for divisibility by 9 is to add all the digits of the number together, and to do the same with the result, until you get a single digit. If the end result is 9 then the original number was a multiple of 9.

Here is a list of even amicable numbers whose sum is not divisible by 9 https://oeis.org/A291550

And here are those complicated mathematical conditions
https://www.ams.org/journals/mcom/196...