Divisor of Fermat Number/Historical Note
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Historical Note on Divisor of Fermat Number
In $1747$, Leonhard Paul Euler proved that a divisor of a Fermat number $F_n$ is always in the form $k \, 2^{n + 1} + 1$.
This was later refined to $k \, 2^{n + 2} + 1$ by François Édouard Anatole Lucas.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $257$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $257$