Prime numbers, also called prime numbers, are infinite. A prime number is defined as a natural number greater than 1, and there are no other factors except 1 and itself.

For example, the number 5 only has 1 and 5, and no other factors can be found. Such numbers are called prime numbers.

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Prime numbers have many unique properties:

The (1) prime p has only two divisors: 1 and p.

(2) Basic theorem of elementary mathematics: Any natural number greater than 1 is either a prime number itself or can be decomposed into the product of several prime numbers, and this decomposition is unique.

(3) The number of prime numbers is infinite.

(4) There must be at least one prime number between the number A greater than 1 and its twice (that is, in the interval (a, 2a)).

(5) There is a prime arithmetic progression with any length.

(6) Even numbers can be written as the sum of two composite numbers, and each composite number has at most 9 prime factors.

(7) Even numbers must be written as prime numbers and composite numbers, in which the number of factors of composite numbers has an upper bound.

References:

Baidu encyclopedia-prime number