Definition:Prime Number/Definition 7
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Definition
A prime number $p$ is an integer greater than $1$ which cannot be written in the form:
- $p = a b$
where $a$ and $b$ are both positive integers less than $p$.
That is:
- $P = \set {x \in \N: \forall p, q \in \N: p, q \ne 1: x \ne p q}$
Also see
Sources
- 1965: Claude Berge and A. Ghouila-Houri: Programming, Games and Transportation Networks ... (previous) ... (next): $1$. Preliminary ideas; sets, vector spaces: $1.1$. Sets
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.2$: More about Numbers: Irrationals, Perfect Numbers and Mersenne Primes: Footnote $1$