What is Mutini What does mutini mean?

Coprime, if the greatest common factor of n integers is 1, then the n integers are said to be coprime. For example, the greatest common factor of 8,10 is 2, not 1, and therefore not integer coprime.

The greatest common factor of 7,11,13 is 1, so this is integer coprime. 5 and 5 are not coprime because the common factors of 5 and 5 have .

1 is a multiple with any number, but it is coprime with any number. Because the factor of 1 is only 1, and the principle of coprime numbers is: as long as the common factor of two numbers is only 1, it is said that two numbers are coprime.

Since 1 has only one factor, 1 is neither prime nor composite, and no other common factor can be found for 1 and other numbers. 1 and -1 are coprime with all integers, and they are the only integers with 0.

How to write coprime numbers: If c and m are coprime, then write (c,m)=1.

Primary school mathematics textbooks define coprime numbers as follows: "Two numbers with a common divisor of only 1 are called coprimes." ”

The "two numbers" here refer to natural numbers.

The common divisor is only 1" and cannot be mistaken for "there is no common divisor." There is a misconception that 0 is not coprime with any number. Strictly according to the definition of coprime, 0 and 1 and -1 are all co-prime, and through the representation of any rational number a b (a, b are co-prime and b is a positive integer), it can also be concluded that 0 and 1 and -1 must be co-prime, otherwise 0 is not a rational number.

Judgment method. Conceptual judgment.

Two numbers with a common divisor of only 1 are called coprimes. According to the concept of coprime numbers, it is possible to determine whether a set of numbers is coprime or not. For example, if the common divisor of 9 and 11 is only 1, then they are coprime.

Regularity judgment method.

According to the definition of coprime numbers, some rules can be summarized, and these rules can be used to quickly determine whether a group of numbers is coprime or not.

1) Two prime numbers that are not the same must be co-primes. For example, 7 and 31 are coprime numbers.

2) Two consecutive natural numbers must be coprime. For example, 4 and 14 are coprime numbers.

3) Two odd numbers next to each other must be coprimes. For example, 5 and 77 are coprime numbers.

4) 1 and all other natural numbers must be coprimes. For example, 1 and 13 are coprime numbers.

5) The larger of the two numbers is a prime number, and these two numbers must be co-prime numbers. For example, 3 and 97 are coprime numbers.

6) The smaller of the two numbers is a prime number, and the larger number is a composite number and is not a multiple of the smaller number, and these two numbers must be co-prime. For example, 2 and 54 are coprime numbers.

7) If the larger number is more than 1 or less than 1 than the small number by 2 times, these two numbers must be coprime. For example, 13 and 25 are coprime numbers.

Mutual quality Definition.

When two positive integers have only a common divisor of 1, their relationship is called coprime. Such as 3 and 11 coprime .

Coprime is two integers with a common divisor of only 1, called coprime integers. Two natural numbers with a common divisor of only 1 are called coprime natural numbers, and the latter is a special case of the former. For example, the greatest common factor of 7, 11, and 13 is 1, so this is integer coprime.

The common factor is only one for two numbers.

When twoPositive integerWhen the common divisor of is only 1, the relationship between these two numbers is called a mutuality relationship。When the common divisor of two positive integers is only 1, the relationship between the two numbers is called a mutuality relation. 2 and 7, 13 and 19, etc.

Two different prime numbers must be coprime relations, or if one prime number is not divisible by another composite number, then the two omen numbers are coprime relations. Coprime is divided into coprime integers and coprime natural numbers.

Two natural numbers with a common divisor of only 1 are called coprime natural numbers.

The definition of mutual quality gives way to righteousnessCoprime if n integers are the greatest common factor.

is 1, then it is said that these n integers return to the friend bureau of mutual quality. The greatest common factor of 8,10 is 2, not 1, and therefore not integer coprime. The greatest common factor of 7,10,13 is 1, so this is integer coprime.

5 and 5 are not coprime because the common factors of 5 and 5 have . 1 is a multiple with any number, but it is coprime with any number. Because the factor of 1 is only 1, and the coprime number.

The principle is that as long as the common factor of two numbers is only 1, it is said that two numbers are coprime.

When two positive integers have only one common factor, 1, their relationship is called coprime, such as 3 and 11 coprime.

Encyclopedia Interpretation. Coprime, two integers with a common divisor of only 1 are called coprime integers, and two natural numbers with a common divisor of only 1 are called coprime natural numbers, and the latter is a special case of the former.

Coprime is two integers with a common divisor of only 1, called coprime integers. The convention calls for two natural numbers with only 1 in the Zheng world, which are called coprime natural numbers, and the latter is a special case of the former.

For example, the greatest common factor of 8,10 is 2, not 1, and therefore not integer coprime. The greatest common factor of 7,11,13 is 1, so this is integer coprime. 5 and 5 are not coprime because the common factor of 5 and 5 has .

Discriminant methods. 1) Two different prime numbers must be co-prime numbers.

For example, 2 is the same as 19.

2) One prime number and the other is not a multiple of it, and these two numbers are co-prime.

For example, 3 is the same as 26.

3) 1 is neither prime nor composite, it is coprime with any natural number (1 itself except for the sum limb). Such as 1 and 9908.

4) Two adjacent natural numbers are coprime numbers. Such as 15 and 16.

5) Two odd numbers next to each other are coprime numbers. Such as 49 and 51.

6) The larger number is a prime number, and the two numbers are co-prime numbers. Such as 97 and 88.

7) Both numbers are composite numbers (the difference between the two numbers is larger), and all the prime factors of the smaller number are not divisors of the larger number, and these two numbers are coprime numbers.

For example, 357 and 715, 357 = 3 7 17, and 17 are not divisors of 715, these two numbers are coprime.

8) Both numbers are composite numbers (the difference between the two numbers is smaller), all the prime factors of the difference between these two numbers are not divisors of the smaller numbers, and these two numbers are coprime. For example, 85 and 7 are not divisors of 78, these two numbers are coprime.

9) Both numbers are composites, and all prime factors of the greater number divided by the remainder of the smaller number (not "0" and greater than "1"), are not divisors of the lesser number, these two numbers are coprime. Such as 462 and 221

Neither is a divisor of 221, and these two numbers are coprime.

10) Subtraction and division. Such as 255 and 182.

255 182=73, observational 73182.

182 (73 2)=36, apparently 3673.

So these two numbers are co-prime.

There are two different cases of coprime of three or more natural numbers: one is that these natural numbers that are coprime are coprime in pairs. As. The other is not a pair of two. As.

If the common divisor of two numbers has and only 1, then they are said to be mutually primary, which is the most basic concept in number theory. Generally speaking, if the number of reunions m n is not reducible, then it is said that m, n are mutually qualitative stupid or guess. Coprime is a natural number, i.e. (except 0); 1. Coprime with any natural number; There is no mutual quality between the same numbers; There must be mutual quality between unequal primes.

eg:6,The greatest common divisor of 9 is 3, not 1, and therefore not mutual. The greatest band-type common divisor of 3,11 is 1, so these three numbers are coprime.

The numbers 2, 9, and 17 are also cozymic.

Obviously, any rational number can be represented by m n, where m,n are coprime integers.