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THE PRIME NUMBER SERIES

Prime number, definitions of

PRIME NUMBER SERIES 1

Prime number, definitions of

 

Definition 1: A prime is a natural number greater than 1, that is not divisible without remainder by any natural number except 1 and itself.

Definition 2: A prime is a natural number greater than 1, that is not divisible without remainder by any natural number greater than 1 and smaller than itself.

Definition 3: A prime is a natural number greater than 1, that is not divisible without remainder by any natural number greater than 1 and smaller or equal than the rounded square root of itself.

Definition 4: A prime is a natural number greater than 1, that has no product of two natural numbers both greater than 1.

Definition 5: A prime p is a natural number > 1, that is not divisible without remainder by any prime p' \leq \sqrt{p}.

Definition 6: A Work Definition

Because of the existence of an infinite quantity of primes and only one even prime namely 2 follows that an infinite quantity of uneven primes must exist. Because of this the definition of all primes greater then 2 is:

A prime greater than 2 is an uneven number U greater than 2, that is not divisible without remainder by any uneven number u in the domain 3 \leq u \leq \sqrt{U}.

 

Munich, 9 August 2019

Gottfried Färberböck