Conjecture of the new definition of the composite number of prime numbers, the definition of prime n

You don't make your definition of s(k) clear here!

And what you're talking about is just some knowledge of a-pseudoprimes.

In fact, there is an absolute pseudoprime number (also known as Carmichael's number).

This pseudoprime satisfies Fermat's minorized theorem for all interprime bases, n (you are also wrong about Fermat's minorized theorem n=2).

The number of 2-pseudo-primes and 3-pseudo-primes is unlimited, and it is unknown whether absolute pseudoprimes are infinite.

Whether the number of 2-pseudoprime numbers and 3-pseudoprime numbers at the same time is infinite, is still an open mystery, but I believe that what you are talking about (k) (which is also a number of 2-pseudoprimes and 3 pseudoprimes) should be an infinite sequence.

If you understand the definition of s(k), then you can only be regarded as a prime number determination theorem, and it is very difficult to determine whether a number is prime by your definition. Besides, the definition of prime numbers is very concise, so why do you have to use something so complex that has been studied before to give it a new definition? Take 10,000 steps back and say that you are just giving a new "definition" within the framework of the concise definition of prime numbers of your predecessors.

However, your enthusiasm for research is still worth encouraging, at least you discovered such a thing without knowing that there was such a thing, and you were a pioneer two hundred years ago! Oh, by the way, the Internet generally means that the exponent is "", for example, the 3rd power of 2 can be expressed as 2 3

I risked the rate dropping to say that I just didn't want anyone to go the wrong way!

Question 1: What are the definitions of prime numbers and composite numbers? Prime numbers (also known as prime numbers, pure numbers).

If a number has only two factors, 1 and itself, such a number is called a prime number, also known as a prime number. For example (within 10) 2,3,5,7 are prime numbers, while 4,6,8,9 are not, the latter is called a composite number or a composite number, which is a natural number that is divisible by other integers besides 1 and itself.

Problem 2: Concepts of Prime Numbers, Composite Numbers, Odd Numbers, Even Numbers, etc. Even numbers (also called double numbers): Numbers that are divisible by 2. Hu manuscript such as, 8, 10 ......

Odd (also called singular): A number that is not divisible by 2. Such as , 9 .........

Prime number (also called prime number): A number with only two factors, 1 and itself. Such as ......

Composite number: A number that has other factors besides 1 and itself. Such as ......

Prime numbers can no longer be decomposed, and composite numbers can be further decomposed by Takashi Pantsino.

Question 3: What is a prime number and what is a composite number? A prime number is an integer that cannot be factored into a prime factor, and a prime number is a positive integer that has no other factors than itself and 1.

For example, 2,3,5,7,11,13,17,19....is a prime number.

A composite number is an integer that can be factored into prime factors, and 4, 6, 8, 9, 10, 12, 14, 15, 6, 18, 20, etcis called the composite number. From this point of view, integers can be divided into two types, one is called prime numbers and the other is called composite numbers.

Some people think that the number 1 should not be called a prime number) The famous Gaussian decomposition theorem says that any integer. It can be written as the product of a string of prime numbers multiplied.

Question 4: What are prime numbers and composite numbers Prime numbers.

Prime numbers are also known as prime numbers. Refers to a number in a natural number greater than 1 that is not divisible by any other self-spinning number except 1 and the integer itself. In other words, a natural number with only two positive factors (1 and itself) is prime.

The smallest prime is 2, and it is also the only even prime number. The first primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31....

Composite number A number that is greater than 1 but is not a prime number is called a composite number.

1 and 0 are neither prime nor composite.

In addition to being 1 and this number, the number can also be divisible by other numbers.

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

Question 5: What are composite and prime numbers? Definitions and examples are given. Thank you.

Prime numbers, also known as prime numbers, have an infinite number of them. A prime number is defined as a natural number greater than 1 in which there is no other factor than 1 and itself.

A composite number is a number of natural numbers that can be divisible by other numbers (except 0) in addition to 1 and itself. The opposite is a prime number, and 1 is neither a prime nor a composite number. The smallest composite number is 4. Among them, the complete number and the blind date number are based on it.

1. Properties of prime numbers 1, there are only two divisors of prime numbers p: 1 and the fundamental theorem of elementary mathematics: any natural number greater than 1 is either prime in itself or can be decomposed into the product of several prime numbers, and this decomposition is unique.

3. The number of prime numbers is unlimited. 4. The formula for the number of prime numbers (n) is a non-decreasing function. 5. If n is a positive integer, there is at least one prime number between n and (n+1).

2. The nature of the number of cocosm 1, all even numbers greater than 2 are composite numbers. 2. Among all odd numbers greater than 5, the single digit is a composite number with the first imaginary 5. 3. Except for 0, all natural numbers with a single digit of 0 are composite numbers.

4. All natural numbers with single digits of 4, 6, and 8 are composite numbers. 5. The smallest (even) composite number is 4, and the smallest odd composite number is the product of the prime number that each composite number can be written in a unique form, that is, the decomposition of prime factors.

In mathematics, prime and composite numbers are a special class of integers. A prime number is a positive integer that is only divisible by 1 and itself. For example, and so on are prime numbers.

A composite number is a positive integer that is divisible by other positive integers in addition to 1 and itself. For example, and so on are composite numbers. In summary, a prime number is a class of natural numbers with only two factors (1 and itself), while a composite number is a natural number that can be broken down into smaller natural factors.

where 1 is neither prime nor composite. In number theory, it is an important research direction to study the properties and laws of the curved prime numbers and composite numbers, and there are many important applications, such as the application of encryption algorithms.

The concepts of prime and composite numbers are as follows:

Composite number. A composite number is a number that is divisible by other non-zero integers in an integer greater than 1, in addition to 1 and itself. All even numbers greater than 2 are composite; Among all odd numbers greater than 5, the single digit of 5 is a composite number; Except for 0, all natural numbers with a single digit of 0 are composite; All natural numbers with a single digit of 4, 6, 8 are composite; The smallest composite is 4 and the smallest odd is 9.

Prime number. Prime numbers, also known as prime numbers, refer to natural numbers that have no other factors than 1 and 1 in natural numbers greater than 1. The number of prime numbers is infinite; Its divisor is only 1 and itself; Of all prime numbers greater than 10, the single digits are only 1, 3, 7, and 9.

It is known from the concepts of prime numbers and composite numbers

From the concept of prime and composite numbers, we can know that in non-0 natural numbers, 1 is neither prime nor composite. Historically, 1 was included in prime numbers, but later 1 was eventually excluded from prime numbers by mathematicians for the sake of arithmetic fundamental theorems. In the primary school stage, the younger brother Sun sold students to learn prime numbers and composite numbers, which laid the foundation for later learning to find the greatest common factor, the least common multiple, and the reduction and general division.

In number theory, prime numbers play an important role and have always attracted many mathematicians to explore. 2,500 years ago, the ancient Greek mathematician Euclid proved that the number of prime numbers is infinite, and proposed that a small number of prime numbers can be written in the ---form of "2 to the nth power minus 1", where n is also a prime number.

Since then, many mathematicians have studied this prime number. The 17th-century French priest Mason was one of the more outstanding achievements, so later generations called the prime number in the form of "2 to the nth power minus 1" as the Meissen prime number.