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Pages in category "Number theoretic algorithms" The following 25 pages are in this category, out of 25 total. This list may not reflect recent changes. A.
In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms for primality testing and integer factorization, finding solutions to diophantine equations, and explicit methods in arithmetic geometry. [1]
Composite number. Highly composite number; Even and odd numbers. Parity; Divisor, aliquot part. Greatest common divisor; Least common multiple; Euclidean algorithm; Coprime
For example, as explained below, algorithms in number theory have a long history, arguably predating the formal concept of proof. However, the modern study of computability began only in the 1930s and 1940s, while computational complexity theory emerged in the 1970s.
Computational number theory, also known as algorithmic number theory, is the study of algorithms for performing number theoretic computations. The best known problem in the field is integer factorization .
The Schönhage–Strassen algorithm is an asymptotically fast ... ), when weighting values in NTT (number theoretic transformation) approach. It has been shown to ...
The number theoretic transform may be meaningful in the ring /, even when the modulus m is not prime, provided a principal root of order n exists. Special cases of the number theoretic transform such as the Fermat Number Transform ( m = 2 k +1 ), used by the Schönhage–Strassen algorithm , or Mersenne Number Transform [ 5 ] ( m = 2 k − 1 ...
3.4 Number theoretic algorithms. ... Shor's algorithm: provides exponential speedup (relative to currently known non-quantum algorithms) for factoring a number;