a formula for amicable pairs
The following formula is due to Thabit ibn Qurra (836-901), a mathematician who worked in Baghdad’s “House of Wisdom” translating Greek and Syrian works (such as Apollonius’s “Conics” or works of Euclid and Archimedes). As he translated the texts, ibn Qurra produced a mathematical body of his own.
When one has:
which are all primes. Thus, the numbers:
form an amicable pair. In fact, this is the smallest amicable pair. For one obtains the amicable pair and .
|Title||a formula for amicable pairs|
|Date of creation||2013-03-22 15:52:45|
|Last modified on||2013-03-22 15:52:45|
|Last modified by||alozano (2414)|