Definition:Fermat Quotient
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Definition
Let $a$ be a positive integer.
Let $p$ be an odd prime.
The Fermat quotient of $a$ with respect to $p$ is defined as:
- $\map {q_p} a = \dfrac {a^{p - 1} - 1} p$
Also defined as
Some sources define and denote the Fermat quotient as:
- $\map {\delta_p} a = \dfrac {a - a^p} p$
Source of Name
This entry was named for Pierre de Fermat.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $7$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $7$