Что такое prime number
prime number
1 prime number
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См. также в других словарях:
Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… … Wikipedia
Prime number — Prime Prime, a. [F., fr. L. primus first, a superl. corresponding to the compar. prior former. See
prime number — prime numbers N COUNT In mathematics, a prime number is a whole number greater than 1 that cannot be divided exactly by any whole number except itself and the number 1, for example 17 … English dictionary
prime number — n a number that can be divided only by itself and the number one. For example, three and seven are prime numbers … Dictionary of contemporary English
prime number — n. an integer that can be evenly divided by no other whole number than itself or 1, as 2, 3, 5, or 7: distinguished from COMPOSITE NUMBER … English World dictionary
prime number — noun count a number that can only be divided exactly by itself and one, for example seven … Usage of the words and phrases in modern English
prime number — noun an integer that has no integral factors but itself and 1 • Hypernyms: ↑prime, ↑prime quantity * * * noun : an integer other than 0 or ±1 that is not divisible without remainder by any other integers except ±1 and ± the integer itself * * *… … Useful english dictionary
prime number — Math. a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded: The integers 2, 3, 5, and 7 are prime numbers. Also called prime. [1585 95] * * * Any positive integer greater than 1 and… … Universalium
prime number — UK / US noun [countable] Word forms prime number : singular prime number plural prime numbers maths a number that can only be divided exactly by itself and the number 1, for example 7 … English dictionary
prime number — /ˈpraɪm nʌmbə/ (say pruym numbuh) noun a positive integer not exactly divisible by any integer except itself and unity: 5 is a prime number … Australian-English dictionary
prime number — prime′ num′ber n. math. a positive integer that is not divisible without remainder by any integer except itself and 1 • Etymology: 1585–95 … From formal English to slang
prime number
Смотреть что такое «prime number» в других словарях:
Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… … Wikipedia
Prime number — Prime Prime, a. [F., fr. L. primus first, a superl. corresponding to the compar. prior former. See
prime number — prime numbers N COUNT In mathematics, a prime number is a whole number greater than 1 that cannot be divided exactly by any whole number except itself and the number 1, for example 17 … English dictionary
prime number — n a number that can be divided only by itself and the number one. For example, three and seven are prime numbers … Dictionary of contemporary English
prime number — n. an integer that can be evenly divided by no other whole number than itself or 1, as 2, 3, 5, or 7: distinguished from COMPOSITE NUMBER … English World dictionary
prime number — noun count a number that can only be divided exactly by itself and one, for example seven … Usage of the words and phrases in modern English
prime number — noun an integer that has no integral factors but itself and 1 • Hypernyms: ↑prime, ↑prime quantity * * * noun : an integer other than 0 or ±1 that is not divisible without remainder by any other integers except ±1 and ± the integer itself * * *… … Useful english dictionary
prime number — Math. a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded: The integers 2, 3, 5, and 7 are prime numbers. Also called prime. [1585 95] * * * Any positive integer greater than 1 and… … Universalium
prime number — UK / US noun [countable] Word forms prime number : singular prime number plural prime numbers maths a number that can only be divided exactly by itself and the number 1, for example 7 … English dictionary
prime number — /ˈpraɪm nʌmbə/ (say pruym numbuh) noun a positive integer not exactly divisible by any integer except itself and unity: 5 is a prime number … Australian-English dictionary
prime number — prime′ num′ber n. math. a positive integer that is not divisible without remainder by any integer except itself and 1 • Etymology: 1585–95 … From formal English to slang
Prime Numbers
Prime numbers are the numbers that have only two factors, that are, 1 and the number itself. Consider an example of number 5, which has only two factors 1 and 5. This means it is a prime number. Let’s take another example of the number 6, which has more than two factors, i.e 1, 2, 3, and 6. This means 6 is not a prime number. Now, if we take the example of the number 1, we know that it has only one factor. So, it cannot be a prime number as a prime number should have exactly two factors. This means 1 is neither a prime nor a composite number, it is a unique number.
| 1. | What Are Prime Numbers? |
| 2. | History of Prime Numbers |
| 3. | List of Prime Numbers |
| 4. | Properties of Prime Numbers |
| 5. | Prime Numbers vs Composite Numbers |
| 6. | Prime and Co-prime Numbers |
| 7. | Easy Way to Find Prime Numbers |
| 8. | List of Odd Prime Numbers |
| 9. | FAQs on Prime Numbers |
What Are Prime Numbers?
A number greater than 1 with exactly two factors, i.e. 1 and the number itself is defined as a prime number. In other words, if a number cannot be divided into equal groups, then it is a prime number. We can divide a number into groups with equal numbers of items/elements only if it can be factorized as a product of two numbers. For example, 7 cannot be divided into groups of equal numbers. This is because 7 can only be factorized as follows:
This means 1 and 7 are the only factors of 7. So, 7 is a prime number because it could not be divided into groups of equal numbers.
Definition of a Prime Number: Any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.
History of Prime Numbers
Do you know all the prime numbers from 1 to 100? Did you check if each number is divisible by the smaller numbers? Then, you definitely invested a lot of time and effort. Eratosthenes was one of the greatest scientists, who lived a few decades after Euclid, designed a smart way to determine all the prime numbers up to a given number. This method is called the Sieve of Eratosthenes. Suppose you have to find the prime numbers up to n, we will generate the list of all numbers from 2 to n. Starting from the smallest prime number p = 2, we will strike off all the multiples of 2, except 2 from the list. Similarly, assign the next value of p which is a prime number greater than 2.
List of Prime Numbers
There are 25 prime numbers from 1 to 100. The complete list of prime numbers from 1 to 100 is given below:
