primality
Noun
Meaning
The quality or state of being primal.
Source: Webster's dictionaryHypernyms
Phrases with the word
Examples
An integer factorization algorithm can decide primality.
Although much more efficient methods of primality testing are known, the existence of any effective method is enough to establish decidability.
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.