The Solovay–Strassen primality test, developed by Robert M. Solovay and Volker Strassen in 1977, is a probabilistic primality test to determine if a number...
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primality test and the Solovay–Strassen primality test. It is of historical significance in the search for a polynomial-time deterministic primality test...
38 KB (5,639 words) - 20:26, 3 May 2025
topic. Solovay-Strassen (computacion.cs.cinvestav.mx) at archive.today (archived 2012-12-20) – Implementation of the Solovay-Strassen primality test in Maple...
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the Schönhage–Strassen algorithm. Strassen is also known for his 1977 work with Robert M. Solovay on the Solovay–Strassen primality test, the first method...
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continuum; Outside of set theory, developing (with Volker Strassen) the Solovay–Strassen primality test, used to identify large natural numbers that are prime...
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is the number of times we test a random a, and n is the value we want to test for primality; see Miller–Rabin primality test for details. There are infinitely...
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Prime number (redirect from Primality)
called primality. A simple but slow method of checking the primality of a given number n {\displaystyle n} , called trial division, tests whether...
117 KB (14,179 words) - 16:20, 4 May 2025
The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality-proving algorithm created...
20 KB (2,447 words) - 14:35, 5 December 2024
Carlo algorithms include the Solovay–Strassen primality test, the Baillie–PSW primality test, the Miller–Rabin primality test, and certain fast variants...
11 KB (1,195 words) - 06:29, 15 December 2024
GCD(n, Q) = 1 then testing for congruence (4) is equivalent to augmenting our Lucas test with a "base Q" Solovay–Strassen primality test. There is one more...
25 KB (3,584 words) - 19:38, 28 April 2025
algorithm lucas_primality_test is input: n > 2, an odd integer to be tested for primality. k, a parameter that determines the accuracy of the test. output: prime...
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primality test? More unsolved problems in mathematics The Baillie–PSW primality test is a probabilistic or possibly deterministic primality testing algorithm...
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curve primality testing techniques, or elliptic curve primality proving (ECPP), are among the quickest and most widely used methods in primality proving...
27 KB (4,793 words) - 03:13, 13 December 2024
{\displaystyle N} is prime. It produces a primality certificate to be found with less effort than the Lucas primality test, which requires the full factorization...
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hdl:21.11116/0000-0005-717D-0. Tao, Terence (2010). "1.11 The AKS primality test". An epsilon of room, II: Pages from year three of a mathematical blog...
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In mathematics, the Lucas–Lehmer test (LLT) is a primality test for Mersenne numbers. The test was originally developed by Édouard Lucas in 1878 and subsequently...
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Proth's theorem (category Primality tests)
conclusive, of primality. Refer to the probabilistic Solovay–Strassen primality test. Inconclusive result: b = 1, in which case the test is inconclusive...
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In computational number theory, the Adleman–Pomerance–Rumely primality test is an algorithm for determining whether a number is prime. Unlike other, more...
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Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen in 1971...
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probabilistic algorithms such as the Solovay–Strassen primality test, the Baillie–PSW primality test, and the Miller–Rabin primality test, which produce what are known...
35 KB (2,280 words) - 17:02, 28 April 2025
Quadratic residue (section Primality testing)
composite the formula may or may not compute (a|p) correctly. The Solovay–Strassen primality test for whether a given number n is prime or composite picks a...
54 KB (5,539 words) - 21:19, 19 January 2025
mathematics, the Lucas–Lehmer–Riesel test is a primality test for numbers of the form N = k · 2n − 1 with odd k < 2n. The test was developed by Hans Riesel and...
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return false end end end Probable prime Solovay, R.; Strassen, V. (1977-03-01). "A Fast Monte-Carlo Test for Primality". SIAM Journal on Computing. 6 (1):...
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(1963) is a faster generalization of Karatsuba's method, and the Schönhage–Strassen algorithm (1971) is even faster, for sufficiently large n. The standard...
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Jacobi symbol (section Primality testing)
probabilistic Solovay–Strassen primality test and refinements such as the Baillie–PSW primality test and the Miller–Rabin primality test. As an indirect...
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of probable primality, such as strong probable primes (P = 1/4, Miller–Rabin algorithm), or Euler probable primes (P = 1/2, Solovay–Strassen algorithm)...
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calculating both and comparing them can be used as a primality test, specifically the Solovay–Strassen primality test. Composite numbers for which the congruence...
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Pépin's test is a primality test, which can be used to determine whether a Fermat number is prime. It is a variant of Proth's test. The test is named...
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Multiplication algorithm (section Schönhage–Strassen)
Strassen (1968). It was made practical and theoretical guarantees were provided in 1971 by Schönhage and Strassen resulting in the Schönhage–Strassen...
47 KB (6,871 words) - 22:32, 25 January 2025
denotational semantics Volker Strassen – matrix multiplication, integer multiplication, Solovay–Strassen primality test Bjarne Stroustrup – C++ Madhu...
55 KB (5,234 words) - 12:57, 28 May 2025