Amicable Pairs with Common Factor 3/Mistake

Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary

$220$

Mistake

Most known amicable pairs have both numbers in the pair divisible by $3$.

There is a crucial word missing out here. This should read:

Most known odd amicable pairs have both numbers in the pair divisible by $3$.

It is known that amicable pairs whose elements are both even cannot have either element divisible by $3$.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $220$