He has also worked on computational number theory.

From the standpoint of computational number theory, it represents a breakthrough."

In computational number theory, a variety of algorithms make it possible to generate prime numbers efficiently.

Eric Bach is an American computer scientist who has made contributions to computational number theory.

Algorithms for number theoretical calculations are studied in computational number theory.

Most of Shanks's number theory work was in computational number theory.

A. Granville, Smooth numbers: Computational number theory and beyond, Proc.

Lenstra is active in cryptography and computational number theory, especially in areas such as integer factorization.

Goldwasser's research areas include computational complexity theory, cryptography and computational number theory.

In computational number theory, the factor base is a mathematical tool commonly used in algorithms involving extensive sieving of potential factors.

In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms.

In computational number theory, the Adleman-Pomerance-Rumely primality test is an algorithm for determining whether a number is prime.

His main areas of interest are in Computational Number Theory, Combinatorics, Data Compression and Cryptography.

Algorithmic number theory - also known as computational number theory, it is the study of algorithms for performing number theoretic computations.

A Course in Computational Number Theory (with David Bressoud, Springer, 2000)

It was created by RSA Laboratories in March 1991 to encourage research into computational number theory and the practical difficulty of factoring large integers.

In the fields of cryptography and computational number theory, it is more typical to define the variable as the number of bits in the input integers.

In computational number theory, Williams' p + 1 algorithm is an integer factorization algorithm, one of the family of algebraic-group factorisation algorithms.

Richard E. Crandall (December 29, 1947 - December 20, 2012) was an American physicist and computer scientist who made substantial contributions to computational number theory.

In computational number theory, the Lucas test is a primality test for a natural number n; it requires that the prime factors of n 1 be already known.

In computational number theory, Cornacchia's algorithm is an algorithm for solving the Diophantine equation , where and d and m are coprime.

Apart from computational number theory and primality testing, he has worked in the areas of computational geometry, scientific computing, parallel algorithms and randomized algorithms.

René Schoof, is a mathematician from the Netherlands who works in algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

In the field of mathematics he has published extensively on analytic number theory, computational number theory, cryptography, algorithms and computational complexity, combinatorics, probability, and error-correcting codes.

The quadratic residuosity problem in computational number theory is the question of distinguishing by calculating the quadratic residues modulo N, where N is a composite number.