Sentence examples for primality from inspiring English sources
'primality' is a correct word in written English
It refers to the state or quality of being prime, which means being the first in importance, rank, or quality, or being divisible only by itself and 1. You can use 'primality' when discussing mathematical concepts related to prime numbers or when describing the importance or superiority of something. For example: - The concept of primality is crucial in cryptography, as prime numbers play a key role in encryption algorithms. - The primality of family should always come before material possessions. - The team's primality in the industry can be attributed to their innovative strategies and talented employees.
noun
The condition of being prime
That is because quick and dirty techniques for testing primality already exist.
Instead, mathematicians turn to other, indirect, methods that can test for primality without factorisation.
However, if Dr Agrawal's primality test can be extended to factoring numbers, it would mean a rejigging of modern cryptography.
Fermat's theorem, also known as Fermat's little theorem and Fermat's primality test, in number theory, the statement, first given in 1640 by French mathematician Pierre de Fermat, that for any prime number p and any integer a such that p does not divide a (the pair are relatively prime), p divides exactly into ap − a.
Thus, Fermat's theorem gives a test that is necessary but not sufficient for primality.
In 1876 the French mathematician Édouard Lucas found a way to test the primality of Mersenne numbers.
So-called primality testing plays a crucial role in the widely used RSA algorithm, whose security relies on the difficulty of finding a number's prime factors.
This is a vast and complex work, in which the most important themes of his thought come together and in which he sets out the doctrine of the "primalities" (primalitates), the constituent principles of the Supreme Being and of all other created beings.
Every finite being is composed of these same primalities but in ways and proportions that are limited and differentiated.
After the explanation of the doctrine of the primalities comes that of the three great influences: Necessity, Fate and Harmony, the vehicles by which the divine Idea, in all its infinite degrees, is conveyed to the world and to matter.
Two related problems can be used to illustrate the sort of contrasts in difficulty which complexity theorists seek to analyze: \(\sc{RELATIVE}\ \sc{PRIMALITY}\ \) Given natural numbers \(x\) and \ y\), do \(x\) and \ y\) possess greatest common divisor \(1\)?
