Sentence examples for primality test from inspiring English sources

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.

After a number of preliminary results in the 19th and 20th centuries, the problem \(\sc{PRIMES}\) was shown in 2004 to possess a so-called polynomial time decision algorithm – i.e. the so-called AKS primality test (Agrawal, Kayal, and Saxena 2004).

Remark 2 In case of n > 21023, the computational load for generating an 80-bit prime is less than for a single RSA decryption, and the computational load for the primality test of an 80-bit prime is less than for a single RSA encryption with an 80-bit exponent.

This primality test is used to help determine whether a given number n is prime.

Primality in generated pattern by CA has been verified with Fermat Primality Test.

Topics: congruences, finite fields, primality testing and factorization, public key cryptography, error correcting codes, and elliptic curves, emphasizing algorithms.

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.

As case studies we solve the bounded subset sum problem in parallel and perform parallel primality testing.

Mathematics courses of particular value here would be Math 141 (introduction to mathematical logic), Math 142 (Recursion Theory), Math 124 (number theory including primality tests and applications to codes), Math 130 (on axiomatic foundations of geometry), and Applied Math 107 (combinatorics).

Explicit constructions of pseudorandom objects have been essential to derandomize algorithms such as primality testing and undirected connectivity, and they have been applied in cryptography, distributed systems, complexity theory, streaming algorithms and learning theory.