Probably the idea of numbers started from the time when people started getting used to group life. After the discovery of zero, the world of numbers became limitless. We are don't know the beginning and the end of it. So just as there is no number now as the largest, there is no number as the lowest.
Natural number of natural number
In this world of unlimited numbers, some numbers have been marked by different names at different times. Such as 1, 2, 3, 4, 6. Etc. The numbers are called natural numbers or natural numbers. They are also called enumerators because they are used for calculations.
The Greek mathematician Pythagoras (584 - 493 BC) found that all numbers except 1 were obtained by adding 1 to 1 (1 + 1 = 2, 1 + 1 + 1 = 3, etc.). 'Marked the origin of numbers and other numbers.
Prime numbers and composite numbers
Another ancient division of natural numbers is prime numbers and composite numbers. About 300 BC, the Greek mathematician Euclid was the first to mention the prime number.
A prime number is a natural number that has only two separate products: 1 and 7 itself. Therefore, it can be said that all the numbers which are not divisible by any number other than 1 and those numbers are called prime numbers. The first prime number in the world of numbers is '2'.
Now the question is, why 1 is not a prime number?
The answer is that 1 is the unit of number formation. By adding 1 sequentially to 1, we can form any normal integer. Each serial number increases by 1. That is, 1 can be called the basic unit of number formation. Even then, 1 is not recognized as a prime number.
If 1 is a prime number, then some basic recognition of arithmetic does not exist. Therefore, 1 has been tactfully omitted when determining the definition of a prime number.
At present, the definition of a prime number is: “Normal whole numbers greater than one and 1 and not divisible by any number other than that number are called prime numbers. Euclid came up with the idea of prime numbers when thinking about perfect numbers.
By definition, prime numbers have two factors, one 1 and the other 6 itself. A number cannot be a prime number if it has more than two factors, so a number cannot have a prime number if it has less than two products. 1 is the only product of 1, 1 itself. Now, if the number 1 is taken as the basic, then the definition of the basic number has no basis. Therefore, according to the rules, 1 cannot be a prime number.
Let me explain with an example:
We know that is a prime number. Because ৭ has only two factors. One is 1, and the other is ৭, meaning the number itself ((৭ = 1 × ৭).
Now let's see what is coming in the case of 1
1 = 1 × 1
Here the two factors are one, not separate. So the product of 1 is taken as one.
Let's go back to the case of —:
7 = 1 × 7
Or
7 = 1 × 1 ×
Or
7 = 1 × 1 × 1 × 7
The same is seen in the case of 1. E.g.,
1 = 1 × 1 × 1 × 1.
As can be seen here, the product of 6 and 1 is indefinite. That is, the equation can be extended as desired.
Therefore, if the number 1 is taken as a prime number, then the basic assumptions of mathematics have no basis. That is, an integer is going to be expressed as a product of the basic product and an infinite number. In that case, the prime number, taken as the exact basis of other numbers, becomes worthless.
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