Finding primes & proving primality
Chapter 3: The classical tests
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Contents of this Chapter:

  1. n-1 Tests (and Pepin's Test for Fermats) 
  2. n+1 Tests (and the Lucas-Lehmer Test for Mersennes) 
  3. A Combined Test -- and more 

This is one of four chapters on finding primes and proving primality.  The first is a short introduction and table of contents. The second chapter discusses finding small primes and the basic probable primality tests.  The third chapter (these pages) cover the classical primality tests that have been used to prove primality for 99.99% of the numbers on the largest known prime list.  The last chapter introduces the general purpose tests that do not require factorization.

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The Prime Pages © Chris Caldwell