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Primality is an English word with synonyms like property. Below you'll find 10+ example sentences showing how it's used in practice.

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Primality in a sentence

Primality meaning

  1. The condition of being prime.
  2. The condition of being a prime number.

Synonyms of Primality

property

Related words

Other words often associated with Primality or its synonyms:

belongings prop concept attribute construct dimension holding conception place possession

Using Primality

  • The main meaning on this page is: The condition of being prime. | The condition of being a prime number.
  • Useful related words include: property.
  • In the example corpus, primality often appears in combinations such as: primality tests, primality test, primality testing.

Context around Primality

  • Average sentence length in these examples: 18.6 words
  • Position in the sentence: 4 start, 7 middle, 6 end
  • Sentence types: 17 statements, 0 questions, 0 exclamations

Often before:

efficient 2× lehmer 1× decide 1× probabilistic 1× deterministic 1× modern 1× testing 1× strassen 1×

Often after:

tests 5× test 4× testing 4× requirement 1×

Sentence patterns with Primality

These short patterns come directly from the example sentences and show how the word is often embedded:

an efficient primality test that 1× can decide primality 1× ease of primality testing is 1× exponentiation and primality testing are 1× for a primality test it 1× however deterministic primality tests are 1× lucas lehmer primality test llt 1× methods of primality testing are 1×

Sentence openings and endings

Common sentence openings:

although much more 1× an integer factorization 1× faulty key generation 1× however deterministic primality 1× many mathematicians have 1× more generally numbers 1×

Common sentence endings:

a composite number 1× aids this task 1× all non primes 1× are primitive recursive 1× called mersenne numbers 1× can decide primality 1×

Words around Primality

Just before it in the word index:

primalbase 7 primal 135 primakov 4 primaire 2 primadonna 4 primacy 128

Just after it in the word index:

primaloft 2 primanti 3 primarch 3 primaried 3 primaries 697 primarily 4.750

Similar in corpus frequency:

aav 21 abdicating 21 abductor 21 abet 21 abh 21 abhorred 21

Corpus analysis for Primality

  • In this selection, "primality" usually appears in the middle of the sentence. The average example has 18.6 words, and this corpus slice is mostly made up of statements.
  • Around the word, efficient, lehmer, decide, tests, test and testing stand out and add context to how "primality" is used.
  • Recognizable usage signals include an efficient primality test that and can decide primality. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "primality" sits close to words such as aav, abdicating and abductor, which helps place it inside the broader word index.

Example types with primality

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

However, deterministic primality tests are slow. (6 words)

An integer factorization algorithm can decide primality. (7 words)

Therefore, it is generally used before starting a proof of primality. (11 words)

Longer example sentences

Special-purpose algorithms and the largest known prime further In addition to the aforementioned tests applying to any natural number n, a number of much more efficient primality tests is available for special numbers. (34 words)

Faulty key generation seeAlso Finding the large primes p and q is usually done by testing random numbers of the right size with probabilistic primality tests which quickly eliminate virtually all non-primes. (33 words)

This makes tests based on Fermat's Little Theorem risky compared to other more stringent tests such as the Solovay-Strassen primality test or a strong pseudoprime test. (28 words)

Example sentences (17)

The Lucas–Lehmer primality test (LLT) is an efficient primality test that greatly aids this task.

Although much more efficient methods of primality testing are known, the existence of any effective method is enough to establish decidability.

An integer factorization algorithm can decide primality.

Faulty key generation seeAlso Finding the large primes p and q is usually done by testing random numbers of the right size with probabilistic primality tests which quickly eliminate virtually all non-primes.

However, deterministic primality tests are slow.

Many mathematicians have worked on primality tests for large numbers, often restricted to specific number forms.

More generally, numbers of the form without the primality requirement are called Mersenne numbers.

One group of modern primality tests is applicable to arbitrary numbers, while more efficient tests are available for particular numbers.

Advertentie

Other operations on natural numbers Exponentiation and primality testing are primitive recursive.

Special-purpose algorithms and the largest known prime further In addition to the aforementioned tests applying to any natural number n, a number of much more efficient primality tests is available for special numbers.

Testing primality and integer factorization There are various methods to determine whether a given number n is prime.

The contrary is not true: for a primality test it is enough to show that a factor exists when checking a composite number.

The ease of primality testing is a crucial part of the RSA algorithm, as it is necessary to find large prime numbers to start with.

Therefore, it is generally used before starting a proof of primality.

The usual algorithm to generate prime numbers is to generate random odd numbers and test them for primality.

This makes tests based on Fermat's Little Theorem risky compared to other more stringent tests such as the Solovay-Strassen primality test or a strong pseudoprime test.

We can use a primality testing algorithm to make sure that is indeed composite.

Advertentie

Common combinations with primality

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "primality" in a sentence?
An example: "The Lucas–Lehmer primality test (LLT) is an efficient primality test that greatly aids this task." This page contains 10+ example sentences with the word "primality" from authentic English texts.
What does "primality" mean?
Primality means: The condition of being prime.
What are synonyms of "primality"?
Common synonyms of "primality" include: property.
How many example sentences with "primality" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "primality", drawn from a database of millions of English sentences.