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## Definition: Prime Numbers

A prime number or short a prime $p$ is a natural number, which has exactly two divisors, namely its trivial divisors $$1$$ and $$p$$.

We denote consecutive prime numbers by $$p_i, i=1,2,\ldots$$ (for instance, $$p_1=2, p_2=3, p_3=5, p_4=7, p_5=11,\ldots$$) and the set of all primes as $\mathbb P:=\{p_i,~i=1,2,\ldots\}.$

| | | | | created: 2014-03-02 11:47:09 | modified: 2019-05-12 08:48:34 | by: bookofproofs | references: [1272]

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