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Integer factorization records

Index Integer factorization records

Integer factorization is the process of determining which prime numbers divide a given positive integer. [1]

32 relations: Adiabatic quantum computation, Advanced Micro Devices, Arjen Lenstra, École Polytechnique Fédérale de Lausanne, Berkeley Open Infrastructure for Network Computing, Centrum Wiskunde & Informatica, Cray, Cray C90, Cryptography, Federal Office for Information Security, French Institute for Research in Computer Science and Automation, General number field sieve, Integer, Integer factorization, Largest known prime number, MasPar, Nippon Telegraph and Telephone, Opteron, Oregon State University, Prime number, Quadratic sieve, Quantum annealing, Rikkyo University, RSA numbers, Semiprime, SGI Origin 200, Shor's algorithm, Silicon Graphics, Special number field sieve, Texas Instruments signing key controversy, TI-83 series, University of Bonn.

Adiabatic quantum computation

Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to do calculations and is closely related to, and may be regarded as a subclass of, quantum annealing.

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Advanced Micro Devices

Advanced Micro Devices, Inc. (AMD) is an American multinational semiconductor company based in Santa Clara, California, that develops computer processors and related technologies for business and consumer markets.

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Arjen Lenstra

Arjen Klaas Lenstra (born 2 March 1956, Groningen) is a Dutch mathematician.

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École Polytechnique Fédérale de Lausanne

The École polytechnique fédérale de Lausanne (EPFL) is a research institute and university in Lausanne, Switzerland, that specializes in natural sciences and engineering.

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Berkeley Open Infrastructure for Network Computing

The Berkeley Open Infrastructure for Network Computing (BOINC, pronounced – rhymes with "oink"), an open-source middleware system, supports volunteer and grid computing.

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Centrum Wiskunde & Informatica

The Centrum Wiskunde & Informatica (abbr. CWI; English: "National Research Institute for Mathematics and Computer Science") is a research center in the field of mathematics and theoretical computer science.

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Cray

Cray Inc. is an American supercomputer manufacturer headquartered in Seattle, Washington.

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Cray C90

The Cray C90 series (initially named the Y-MP C90) was a vector processor supercomputer launched by Cray Research in 1991.

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Cryptography

Cryptography or cryptology (from κρυπτός|translit.

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Federal Office for Information Security

The Federal Office for Information Security (Bundesamt für Sicherheit in der Informationstechnik, abbreviated as BSI) is the German upper-level federal agency in charge of managing computer and communication security for the German government.

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French Institute for Research in Computer Science and Automation

The French Institute for Research in Computer Science and Automation (Institut national de recherche en informatique et en automatique) is a French national research institution focusing on computer science and applied mathematics.

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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.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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Largest known prime number

The largest known prime number is 277,232,917 − 1, a number with 23,249,425 digits.

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MasPar

MasPar Computer Corporation was a minisupercomputer vendor that was founded in 1987 by Jeff Kalb.

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Nippon Telegraph and Telephone

, commonly known as NTT, is a Japanese telecommunications company headquartered in Tokyo, Japan.

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Opteron

Opteron is AMD's x86 former server and workstation processor line, and was the first processor which supported the AMD64 instruction set architecture (known generically as x86-64).

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Oregon State University

Oregon State University (OSU) is an international, public research university in the northwest United States, located in Corvallis, Oregon.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Quadratic sieve

The quadratic sieve algorithm (QS) is an integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve).

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Quantum annealing

Quantum annealing (QA) is a metaheuristic for finding the global minimum of a given objective function over a given set of candidate solutions (candidate states), by a process using quantum fluctuations.

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Rikkyo University

, also known as Saint Paul's University, is a private university, in Ikebukuro, Tokyo, Japan.

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RSA numbers

In mathematics, the RSA numbers are a set of large semiprimes (numbers with exactly two prime factors) that are part of the RSA Factoring Challenge.

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Semiprime

In mathematics, a semiprime is a natural number that is the product of two prime numbers.

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SGI Origin 200

The SGI Origin 200, code named Speedo, was an entry-level server computer developed and manufactured by SGI, introduced in October 1996 to accompany their mid-range and high-end Origin 2000.

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Shor's algorithm

Shor's algorithm, named after mathematician Peter Shor, is a quantum algorithm (an algorithm that runs on a quantum computer) for integer factorization formulated in 1994.

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Silicon Graphics

Silicon Graphics, Inc. (later rebranded SGI, historically known as Silicon Graphics Computer Systems or SGCS) was an American high-performance computing manufacturer, producing computer hardware and software.

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Special number field sieve

In number theory, a branch of mathematics, the special number field sieve (SNFS) is a special-purpose integer factorization algorithm.

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Texas Instruments signing key controversy

The Texas Instruments signing key controversy refers to the controversy which resulted from Texas Instruments' (TI) response to a project to factorize the 512-bit RSA cryptographic keys needed to write custom firmware to TI devices.

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TI-83 series

The TI-83 series is a series of graphing calculators manufactured by Texas Instruments.

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University of Bonn

The University of Bonn (Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, Germany.

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Factoring records.

References

[1] https://en.wikipedia.org/wiki/Integer_factorization_records

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