The meaning of composite number and prime number

Baidu knows to ask questions

What is a composite number and a prime number?

What are prime numbers and composite numbers?

Write answers ***34 answers

What do prime numbers and composite numbers mean? The teacher told you in detail.

I often think of delicious food.

2 14 people find it useful

Don't want a name, Lucy

LV . 220 19- 10- 16

Prime numbers are also called prime numbers. Is a natural number greater than 1, and the factor is only 1 and itself, which cannot be divisible by other natural numbers. A composite number has other factors besides 1 and itself.

Extended data:

Properties of prime numbers:

The number of prime numbers is infinite. There is a classic proof in Euclid's Elements of Geometry. It uses a common proof method: reduction to absurdity. The concrete proof is as follows: Suppose there are only a limited number of prime numbers, which are arranged as p 1, p2, ..., pn from small to large, and let N = P 1× P2×...× PN, then is N+ 1 a prime number?

If N+ 1 is a prime number, then N+ 1 is greater than p 1, p2, ..., pn, so it is not in those assumed prime number sets.

1, if it is a composite number, because any composite number can be decomposed into the product of several prime numbers; The greatest common divisor of n and N+ 1 is 1, so it is impossible to be divisible by p 1, p2, ..., pn, so the prime factor obtained by this complex number decomposition is definitely not in the assumed prime number set. Therefore, whether the number is a prime number or a composite number, it means that there are other prime numbers besides the assumed finite number of prime numbers. So the original assumption doesn't hold water. In other words, there are infinitely many prime numbers.

2. Other mathematicians have given some different proofs. Euler proved by Riemann function that the sum of reciprocal of all prime numbers is divergent, Ernst Cuomo proved more succinctly, and harry Furstenberg proved by topology.

References:

Prime number-Baidu encyclopedia

15 907

Little world of dreams

Lv 320 19-09-09

Among natural numbers, we call those numbers divisible by 2 even numbers, such as 2, 4, 6, 8, 10, ... and so on. The remaining natural numbers are called odd numbers, such as 1, 3, 5, 7, 9, ... and so on.

In this way, all natural numbers are divided into even numbers and odd numbers. On the other hand, besides 1, some numbers are not divisible by other integers besides 1 and itself, such as 2, 3, 5, 7,1,13, 17, etc. This number is called.

Some numbers can be divisible by 1 and other integers other than itself. This number is called a composite number, such as 4, 6, 8, 9, 10, 12, 14, ... and so on, this is a composite number.

1 is a special number. It is neither a prime number nor a composite number. In this way, all natural numbers are divided into 1, prime numbers and composite numbers.

There are infinite prime numbers, also called prime numbers. A natural number greater than 1 cannot be divisible by other natural numbers except 1 and itself, in other words, this number has no other factors except 1 and itself; Otherwise it is called a composite number.

According to fundamental theorem of arithmetic, every integer greater than 1 is either a prime number itself or a product of a series of prime numbers; If the order of these prime numbers in the product is not considered, then the writing form is unique. The smallest prime number is 2.

Composite number refers to the number divisible by other numbers (except 0) except 1 and itself in natural numbers. In contrast, it is a prime number, and 1 is neither a prime number nor a composite number. The smallest composite number is 4. Among them, the perfect number and the number of blind dates are based on this.

References:

Compound prime number of Baidu encyclopedia entry

16 3464

Harbin nangang district Stars All-Star Game

20 19- 12-27

Skills of choosing broadcasting to host art examination training class: 1. It depends on the level of teachers in colleges and universities, mainly on graduate colleges and universities, mainly on whether they graduated from prestigious schools. Don't blindly trust the so-called famous professors, because many retired professors have been out of touch with the art test for too long, and they don't know much about the annual art test. In addition, time and energy are limited, so I can't pay the phone bill ... 2. It depends on the teaching environment and facilities of colleges and universities. After all, you need some courses hosted by radio. 3. It depends on the teaching management system and student management system of colleges and universities. Good teaching management and student management are the key to create a learning atmosphere. If the class atmosphere is good, many students who don't like learning will also be affected. The "Star All-Star Art Examination Training School" has campuses all over the country and has national formal education qualifications. "Stars Art Test", a person who dares to announce the results of all staff … Click to enter the details page.

telephone

consult

Nanmo xiaonan

Lv 220 17-09-29

prime number

Prime numbers are also called prime numbers. Refers to a natural number greater than 1, except 1 and the integer itself, which cannot be divisible by other natural numbers. In other words, a natural number with only two positive factors (1 and itself) is a prime number.

The smallest prime number is 2, which is also the only even number. The first prime numbers are: 2, 3, 5, 7, 1 1, 13, 17, 19, 23, 29, 3 1. ......

composite number

Numbers greater than 1 but not prime numbers are called composite numbers.

1 and 0 are neither prime numbers nor composite numbers.

A number in a natural number that can be divisible by other numbers except 1 and this number.

For example, 6 can be divisible by 1 and 6, or by 2 and 3.

4,6,8, 10, 12, 14, 16, 18,20,22,24,26,28,30 ......

Expand the remaining 24%

40 5972

9859675 18

Get to know partner education experts 20 18-07-05

A prime number is a positive integer that cannot be divisible by other numbers except 1 and itself, also known as a prime number.

The difference between prime numbers and composite numbers lies in the number of factors. Prime numbers have only two factors, and composite numbers have more than two factors.

Except 1, 0, it is either a positive integer or a composite of prime numbers.

0'1'is neither a prime number nor a composite number.

0 139

Enthusiastic netizens

20 19-0 1- 17

prime number

The smallest prime number is 2, which is also the only even number. The first prime numbers are: 2, 3, 5, 7, 1 1, 13, 17, 19, 23, 29, 3 1. ......

composite number

Numbers greater than 1 but not prime numbers are called composite numbers.

1 and 0 are neither prime numbers nor composite numbers.

A number in a natural number that can be divisible by other numbers except 1 and this number.

For example, 6 can be divisible by 1 and 6, or by 2 and 3.

4,6,8, 10, 12, 14, 16, 18,20,22,24,26,28,30

Expand the remaining 20%

2 137

Winslow

LV . 120 19-0 1- 15

prime number

The smallest prime number is 2, which is also the only even number. The first prime numbers are: 2, 3, 5, 7, 1 1, 13, 17, 19, 23, 29, 3 1. ......

composite number

Numbers greater than 1 but not prime numbers are called composite numbers.

A number in a natural number that can be divisible by other numbers except 1 and this number.

For example, 6 can be divisible by 1 and 6, or by 2 and 3, so it is not a prime number, but a composite number.

Expand the remaining 1 1%

0 56