# Amicable Pair/Examples/17,296-18,416/Historical Note

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## Historical Note on the Amicable Pair $17 \, 296$ and $18 \, 416$

The amicable pair $17 \, 296$ and $18 \, 416$ were discovered by Pierre de Fermat in $1636$.

As such, it appears that he re-discovered what had previously been discovered by the medieval Arab school.

It was, however, the second amicable pair to be known of by the Western mathematical world after $220$ and $284$, known of old.

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $17,296$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $17,296$ - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**amicable numbers**

- Weisstein, Eric W. "Amicable Pair." From
*MathWorld*--A Wolfram Web Resource. http://mathworld.wolfram.com/AmicablePair.html