Definition:Amicable Pair/Historical Note

Historical Note on Amicable Pair
The first mathematician to explore amicable pairs systematically was.

He found over $60$ examples.

There are now over $40 \, 000$ amicable pairs now known.

Techniques for generating new amicable pairs from existing ones strongly suggest that there is an infinite number of them, but this still has to be rigorously proven.