prime number что такое

prime number

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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 , a., , , and cf. , a., , .] 1. First in order of time; original; primeval; primitive; primary.… … The Collaborative International Dictionary of English

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

Источник

prime numbers

congruous numbers — сравнимые числа

law of large numbers — закон больших чисел

he has skill in numbers — он силён в число

to multiply two numbers together — перемножить два числа

Смотреть что такое «prime numbers» в других словарях:

prime numbers — noun the set of numbers which are prime … Wiktionary

List of prime numbers — This is an incomplete list, which may never be able to satisfy particular standards for completeness. You can help by expanding it with reliably sourced entries. By Euclid s theorem, there are an infinite number of prime numbers. Subsets of the… … Wikipedia

relatively prime numbers — Math. two numbers whose greatest common divisor is 1. * * * … Universalium

relatively prime numbers — Math. two numbers whose greatest common divisor is 1 … Useful english dictionary

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 — 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 — 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 theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… … Wikipedia

Prime-counting function — In mathematics, the prime counting function is the function counting the number of prime numbers less than or equal to some real number x cite book |first=Eric |last=Bach |coauthors=Shallit, Jeffrey |year=1996 |title=Algorithmic Number Theory… … Wikipedia

prime — primeness, n. /pruym/, adj., n., v., primed, priming. adj. 1. of the first importance; demanding the fullest consideration: a prime requisite. 2. of the greatest relevance or significance: a prime example. 3. of the highest eminence or rank: the… … Universalium

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prime number

1 prime number

2 prime number

3 prime number

4 prime number

5 prime number

6 prime number

7 prime number

8 prime number

9 prime number

10 prime number

11 prime number

12 prime number

13 prime number

14 prime number

15 prime number

16 prime number

17 prime number

18 prime number

19 prime number

20 prime number

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 , a., , , and cf. , a., , .] 1. First in order of time; original; primeval; primitive; primary.… … The Collaborative International Dictionary of English

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

Источник

What is a Prime Number?

By Elaine J. Hom published 20 May 13

A prime number is an integer, or whole number, that has only two factors — 1 and itself. Put another way, a prime number can be divided evenly only by 1 and by itself. Prime numbers also must be greater than 1. For example, 3 is a prime number, because 3 cannot be divided evenly by any number except for 1 and 3. However, 6 is not a prime number, because it can be divided evenly by 2 or 3.

List of prime numbers

The prime numbers between 1 and 1,000 are:

Largest prime number

History of prime numbers

In 200 B.C., Eratosthenes created an algorithm that calculated prime numbers, known as the Sieve of Eratosthenes. This algorithm is one of the earliest algorithms ever written. Eratosthenes put numbers in a grid, and then crossed out all multiples of numbers until the square root of the largest number in the grid is crossed out. For example, with a grid of 1 to 100, you would cross out the multiples of 2, 3, 4, 5, 6, 7, 8, 9, and 10, since 10 is the square root of 100. Since 6, 8, 9 and 10 are multiples of other numbers, you no longer need to worry about those multiples. So for this chart, you would cross out the multiples of 2, 3, 5 and 7. With these multiples crossed out, the only numbers that remain and are not crossed out are prime. This sieve enables someone to come up with large quantities of prime numbers.

Prime numbers & encryption

In 1978, three researchers discovered a way to scramble and unscramble coded messages using prime numbers. This early form of encryption paved the way for Internet security, putting prime numbers at the heart of electronic commerce. Public-key cryptography, or RSA encryption, has simplified secure transactions of all times. The security of this type of cryptography relies on the difficulty of factoring large composite numbers, which is the product of two large prime numbers.

Confidence in modern banking and commerce systems hinges on the assumption that large composite numbers cannot be factored in a short amount of time. Two primes are considered as sufficiently secure if they are 2,048 bits long, because the product of these two primes would be about 1,234 decimal digits.

Prime numbers in nature

Prime numbers even show up in nature. Cicadas spend most of their time hiding, only reappearing to mate every 13 or 17 years. Why this specific number? Scientists theorize that cicadas reproduce in cycles that minimize possible interactions with predators. Any predator reproductive cycle that divides the cicada’s cycle evenly means that the predator will hatch out the same time as the cicada at some point. For example, if the cicada evolved towards a 12-year reproductive cycle, predators who reproduce at the 2, 3, 4 and 6 year intervals would find themselves with plenty of cicadas to eat. By using a reproductive cycle with a prime number of years, cicadas would be able to minimize contact with predators.

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prime number

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers. The number 1 is neither prime nor composite.

Prime numbers can be used for a number of reasons. For example, some types of cryptography will use prime numbers.

In RSA (Rivest-Shamir-Adleman), a well-known example of public key cryptography, prime numbers are always supposed to be unique. The primes used by the Diffie-Hellman key exchange and the Digital Signature Standard (DSS) cryptography schemes, however, are frequently standardized and used by a large number of applications.

Related Terms

SCADA

SCADA (supervisory control and data acquisition) is a category of software application program for process control, the gathering of data in real time from remote locations in order to control equipment and conditions.

Pure risk refers to risks that are beyond human control and result in a loss or no loss with no possibility of financial gain.

Risk reporting is a method of identifying risks tied to or potentially impacting an organization’s business processes.

Risk mitigation is a strategy to prepare for and lessen the effects of threats faced by a business.

Data redundancy refers to the practice of keeping data in two or more places within a database or data storage system.

Data is often expressed in bytes, which are composed of eight binary digits.

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