Definition:Amicable Pair/Historical Note

Historical Note on Amicable Numbers
The first mathematician to explore amicable numbers systematically was.

He found over $60$ examples.

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