linear sieve algorithm

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• Sieve of Eratosthenes — Sieve of Eratosthenes: algorithm steps for primes below 121 (including optimization of starting from prime s square). In mathematics, the sieve of Eratosthenes (Greek: κόσκινον Ἐρατοσθένους), one of a number of prime number sieves, is a simple,… …   Wikipedia

• Quadratic sieve — The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve). It is still the fastest for integers under 100 decimal digits or so, and is… …   Wikipedia

• Multiplication algorithm — A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are in use. Efficient multiplication algorithms have existed since the advent of the decimal system.… …   Wikipedia

• Special number field sieve — The special number field sieve (SNFS) is a special purpose integer factorization algorithm. The general number field sieve (GNFS) was derived from it.The special number field sieve is efficient for integers of the form r e plusmn; s , where r and …   Wikipedia

• General number field sieve — In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than 100 digits. Heuristically, its complexity for factoring an integer n (consisting of log2 n bits) is of …   Wikipedia

• Rational sieve — In mathematics, the rational sieve is a general algorithm for factoring integers into prime factors. It is essentially a special case of the general number field sieve, and while it is far less efficient than the general algorithm, it is… …   Wikipedia

• Shor's algorithm — Shor s algorithm, first introduced by mathematician Peter Shor, is a quantum algorithm for integer factorization. On a quantum computer, to factor an integer N, Shor s algorithm takes polynomial time in log{N}, specifically O((log{N})^3),… …   Wikipedia

• Time complexity — In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the size of the input to the problem. The time complexity of an algorithm is commonly expressed using big O… …   Wikipedia

• Timeline of mathematics — A timeline of pure and applied mathematics history. Contents 1 Before 1000 BC 2 1st millennium BC 3 1st millennium AD 4 1000–1500 …   Wikipedia

• Lattice problem — In computer science, lattice problems are a class of optimization problems on lattices. The conjectured intractability of such problems is central to construction of secure lattice based cryptosystems. For applications in such cryptosystems,… …   Wikipedia

• Quadratisches Sieb — ist ein Begriff aus dem Bereich Zahlentheorie der Mathematik und bezeichnet einen der schnellsten bekannten Algorithmen zur Faktorisierung großer natürlicher Zahlen. Es ist ein allgemeines Faktorisierungsverfahren, d.h. die Laufzeit hängt nur von …   Deutsch Wikipedia