Search results with tag "Miller rabin"
Introduction The Miller{Rabin test - Keith Conrad's Home Page
kconrad.math.uconn.eduKEITH CONRAD 1. Introduction The Miller{Rabin test is the most widely used probabilistic primality test. For odd composite n>1 over 75% of numbers from to 2 to n 1 are witnesses in the Miller{Rabin test for n. We will describe the test, prove the …
A Computational Introduction to Number Theory and …
shoup.net10.2 The Miller–Rabin test 307 10.3 Generating random primes using the Miller–Rabin test 311 10.4 Factoring and computing Euler’s phi function 320 10.5 Notes 324 11 Finding generators and discrete logarithms in Z p 327 11.1 Finding a generator for Z p 327 11.2 Computing discrete logarithms in Z p 329 11.3 The Di e–Hellman key ...
Number Theory - Stanford University
crypto.stanford.eduThe Miller-Rabin Test We discuss a fast way of telling if a given number is prime that works with high probability. Generators Sometimes powering up a unit will generate all the other units. Cyclic Groups We focus only on multiplication and see if we can still say anything interesting. Quadratic Residues Elements of Z