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Riesel Sieve information


Riesel Sieve was a volunteer computing project, running in part on the BOINC platform. Its aim was to prove that 509,203 is the smallest Riesel number, by finding a prime of the form k × 2n − 1 for all odd k smaller than 509,203.

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Riesel Sieve

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Riesel Sieve was a volunteer computing project, running in part on the BOINC platform. Its aim was to prove that 509,203 is the smallest Riesel number...

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Riesel number

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509203, it is conjectured to be the smallest Riesel number. To check if there are k < 509203, the Riesel Sieve project (analogous to Seventeen or Bust for...

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Riesel

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labor union journalist Riesel number, an odd natural number k for which the integers of the form k·2n−1 are all composite Riesel Sieve, a project to prove...

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Sieve of Eratosthenes

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In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking...

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General number field sieve

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In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than 10100. Heuristically...

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Sieve of Atkin

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mathematics, the sieve of Atkin is a modern algorithm for finding all prime numbers up to a specified integer. Compared with the ancient sieve of Eratosthenes...

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Hans Riesel

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Boston, MA: Birkhäuser. ISBN 0-8176-3743-5. Zbl 0821.11001. Riesel number Riesel Sieve Tattersall, James J. (2005). Elementary Number Theory in Nine...

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Sieve of Pritchard

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In mathematics, the sieve of Pritchard is an algorithm for finding all prime numbers up to a specified bound. Like the ancient sieve of Eratosthenes, it...

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Lucky number

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natural number in a set which is generated by a certain "sieve". This sieve is similar to the Sieve of Eratosthenes that generates the primes, but it eliminates...

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Special number field sieve

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the special number field sieve (SNFS) is a special-purpose integer factorization algorithm. The general number field sieve (GNFS) was derived from it...

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Quadratic sieve

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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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PrimeGrid

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dialog started with Riesel Sieve to bring their project to the BOINC community. PrimeGrid provided PerlBOINC support and Riesel Sieve was successful in...

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Sieve of Sundaram

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In mathematics, the sieve of Sundaram is a variant of the sieve of Eratosthenes, a simple deterministic algorithm for finding all the prime numbers up...

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Berkeley Open Infrastructure for Network Computing

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and Sophie Germain primes. Subprojects include Seventeen or Bust, and Riesel Sieve. RALPH@Home [fr] Rosetta@home 2006-02-15 5548 volunteers Windows, Linux...

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Generation of primes

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prime. A prime sieve or prime number sieve is a fast type of algorithm for finding primes. There are many prime sieves. The simple sieve of Eratosthenes...

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Seventeen or Bust

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covering set {3, 5, 7, 13, 17, 19, 73}.[citation needed] Mathematics portal Riesel Sieve, a related volunteer computing project for numbers of the form k·2n−1...

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Function field sieve

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In mathematics the Function Field Sieve is one of the most efficient algorithms to solve the Discrete Logarithm Problem (DLP) in a finite field. It has...

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List of volunteer computing projects

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2012-02-05. "RSA Lattice Siever — News Archive". 2012. Archived from the original on 2012-09-21. Retrieved 2012-02-05. "RSA Lattice Siever". 2012. Archived from...

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AKS primality test

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{\tilde {O}}(\log(n)^{10.5})} , later reduced using additional results from sieve theory to O ~ ( log ⁡ ( n ) 7.5 ) {\displaystyle {\tilde {O}}(\log(n)^{7...

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Rational sieve

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the rational sieve is a general algorithm for factoring integers into prime factors. It is a special case of the general number field sieve. While it is...

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Fermat primality test

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Lucas–Lehmer–Riesel Proth's theorem Pépin's Quadratic Frobenius Solovay–Strassen Miller–Rabin Prime-generating Sieve of Atkin Sieve of Eratosthenes Sieve of Pritchard...

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Index calculus algorithm

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possible only by shifting the work away from the linear algebra and onto the sieve (i.e., increasing the number of equations while reducing the number of variables)...

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Primality test

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modulo n. If we can show a is primitive for n, we can show n is prime. Riesel (1994) pp.2-3 John Selfridge#Selfridge's conjecture about primality testing...

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Discrete logarithm

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of the group). Baby-step giant-step Function field sieve Index calculus algorithm Number field sieve Pohlig–Hellman algorithm Pollard's rho algorithm for...

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Multiplication algorithm

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multiplication algorithm that some students will ever need. Lattice, or sieve, multiplication is algorithmically equivalent to long multiplication. It...

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