The Error Probability of the Miller–Rabin Primality Test (original) (raw)

On the Number of Witnesses in the Miller–Rabin Primality Test

Shamil Ishmukhametov

Symmetry

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Miller's primality test

Hendrik Lenstra

Information Processing Letters, 1979

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PPT: New Low Complexity Deterministic Primality Tests Leveraging Explicit and Implicit Non-Residues. A Set of Three Companion Manuscripts

Dhananjay Phatak

ArXiv, 2019

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The generation of random numbers that are probably prime

Carl Pomerance

Journal of Cryptology, 1988

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Generalized Strong Pseudoprime Tests and Applications

Pedro Berrizbeitia

Journal of Symbolic Computation, 2000

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Primality testing revisited

James Davenport

Papers from the international symposium on Symbolic and algebraic computation - ISSAC '92, 1992

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Average case error estimates for the strong probable prime test

Peter Landrock

Mathematics of Computation, 1993

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The Problem of Error Frequency Distribution in the Miller-Rabin Test For Tripleprime Numbers

Computer Science & Information Technology (CS & IT) Computer Science Conference Proceedings (CSCP)

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A Novel Deterministic Mersenne Prime Numbers Test: Aouessare-El Haddouchi-Essaaidi Primality Test

Abdeslam El haddouchi

2015

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Comparison study for Primality testing using Mathematica

ega gradini

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Comparative Study Between a Novel Deterministic Test for Mersenne Primes and the Well-Known Primality Tests

Haissam Chehade

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Five Steps Primality Test

Manuel Meireles

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INVESTIGATION STUDY OF FEASIBLE PRIME NUMBER TESTING ALGORITHMS

Qasem Abu Al-Haija

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Minimizing the Time of Detection of Large (Probably) Prime Numbers

IJCSBI ORG

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PRIMALITY TEST AND INTEGER FACTORIZATION

Madieyna Diouf

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Deterministic Primality Test for Numbers of the Form A2.3n + 1, n ≥ 3 Odd

Pedro J Berrizbeitia

Proceedings of the American Mathematical Society, 2002

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Paper Primality proving with

Andrzej Chmielowiec

2014

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The probability that a random probable prime is composite

Carl Pomerance

Mathematics of Computation - Math. Comput., 1989

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Possibility to Construct a Machine for Primality Testing of Numbers

Takaaki Musha

Journal of Advances in Mathematics and Computer Science

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PROVING PRIMALITY IN ESSENTIALLY QUARTIC RANDOM TIME

vz4211 Zuravlevv

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Taxonomy and Practical Evaluation of Primality Testing Algorithms

Muhammad Choirul Imam

ArXiv, 2020

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A generalization of Miller's primality theorem

Pedro J Berrizbeitia

Proceedings of the American Mathematical Society, 2008

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submitter : A heuristic study of the distribution of primes in short and not-so-short intervals

Miguel-angel Sanchis-lozano

2018

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Generating Mersenne Prime Number Using Rabin Miller Primality Probability Test to Get Big Prime Number in RSA Cryptography

dicky apdilah

2017

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Primality proving with Gauss and Jacobi sums, Journal of Telecommunications and Information Technology, 2004, nr 4

Andrzej Chmielowiec

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Exploring Factorization and Primality

Hamman Samuel

2009

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An Improved Divisibility Test Algorithm for Primality Testing

Arjun Kumar, Arjun Kumar

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A New Method for Testing Whether a Number Is Prime

Bahbouhi Bouchaib

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A Simple Algorithm for Prime Factorization and Primality Testing

Kabenge Hamiss

Journal of Mathematics

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Fast verification, testing, and generation of large primes

David Plaisted

Theoretical Computer Science, 1979

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Notes on Public Key Cryptography And Primality Testing Part 1: Randomized Algorithms Miller–Rabin and Solovay–Strassen Tests

Jean Gallier

2013

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Notes on Primality Testing And Public Key Cryptography Part 1: Randomized Algorithms Miller-Rabin and Solovay-Strassen Tests

Jean Gallier

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A heuristic study of the distribution of primes in short and not-so-short intervals

Miguel-angel Sanchis-lozano

arXiv: Number Theory, 2018

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AMAZING ESTIMATORS FOR THE FREQUENCIES OF SMALL PRIME NUMBERS AS TERMINAL VALUES IN THE PROCESS OF SUCCESSIVELY SUMMING UP ALL FACTORS OF THE NATURAL NUMBERS

Lenox Institute

"Evolutionary Progress in Science, Technology, Engineering, Arts, and Mathematics (STEAM)", 2024

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