pseudoprime


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pseudoprime

A backgammon prime (six consecutive occupied points) with one point missing. This term is an esoteric pun derived from a mathematical method that, rather than determining precisely whether a number is prime (has no divisors), uses a statistical technique to decide whether the number is "probably" prime. A number that passes this test is called a pseudoprime. The hacker backgammon usage stems from the idea that a pseudoprime is almost as good as a prime: it does the job of a prime until proven otherwise, and that probably won't happen.
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Numbers like 341 that pass the test but are not prime are said to be pseudoprime.
In order to accomplish the first task, one standard method is to use pseudoprimes.
Key Topics Covered: Preface v Notation Chapter 1 Fundamentals Chapter 2 Congruences, Equations, and Powers Using the Pseudoprime Test Chapter 3 Euler's Function Chapter 4 Prime Numbers Chapter 5 Some Applications Chapter 6 Quadratic Residues Chapter 7 Continuec Faction Chapter 8 Prime Testing with Lucas Sequences Chapter 9 Prime Imaginaries and Imaginary Primes