February 27, 2024
What are prime numbers?

What are prime numbers?

studies Prime numbers Its history goes back many centuries ago and this set of numbers has always brought a lot of curiosity to scholars. Knowing what a prime number is and how to determine it can make it easier to solve math questions in your proofs, so follow this article for a full explanation.

What are prime numbers?

on the principle, Prime numbers They are those that can only be divided by two factors: one (1) alone.

Like, for example, the number two (2). You can just divide the number two (2) by the number one (1) or by itself, so it’s a Cousin’s number.

But what about number one (1)? number one (1) Not It is considered a prime number because it is only divisible by itself. Remember that the rule for a prime number is that it is divisible by itself And by number 1.

Other examples of Cousins: 3,5,7,11,13,17…

How do you know if a number is prime or not?

As mentioned above, the rule is that a number is divisible by one and by itself. So knowing the basic rules of divisibility can help you determine a large number. How about remembering division rules?

  • divide by 2: All even numbers (ending in 0,2,4,6 and 8) are divisible by 2.
  • Divide by 3: If the sum of their algorithms gives a number that is divisible by 3, then that number is divisible by 3.
  • Divide by 4: A number is divisible by 4 if it is twice divisible by 2 or if the last two algorithms are divisible by 4.
  • Divide by 5: Every number ending in 0 and 5 is divisible by 5.
  • Divide by 6: If the number is even and divisible by 3, then the number is also divisible by 6.
  • Divide by 7: A number is divisible by 7 if the difference between the double of the last algorithm and the remainder is a multiple of 7.

What are the prime numbers from 1 to 100?

But how do you know all the files Prime numbers? How do you score the most important?

In fact, recording the main numbers in memory can speed up the solving of questions, but if you do not remember, there is a practical way to find out Prime numbers 1 to 100.

The system is called Eratosthenes screen It was created by a Greek mathematician many years ago. First, you have to write all the numbers, from 1 to 100, on a sheet of paper:

Table 1 to 100
Table 1 to 100

Now, you will go number by number in a very practical way. are you go:

  • With Exception number 2, which is already known to be a prime number, you are going to clip all even numbers. Remember that every even number is divisible by 2, so it is no longer a prime number.
  • Next, you must cut out all numbers divisible by 3 (except itself), according to the rule already described in the above section.
  • When the number is reached 5, you will also cut out all numbers that are divisible by 5 – note that because you cut out even numbers, most numbers that are divisible by 5 are already deleted.
  • Finally, remove the numbers that are divisible by 7.

Note that prime numbers between 1 and 100 will remain, which are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 e 97.

Table of prime numbers from 1 to 100
Prime numbers from 1 to 100 for the sieve of Eratosthenes

ready! Now, you know an easy way to solve questions involving prime numbers.

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Prime numbers

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