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64 bytes added ,  22:33, August 7, 2008
there is no uniform distribution on the integers
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The probability that a random integer N is prime is roughly 1/ln(N), where ln(N) is the natural logarithm (base ''e'') of N.<ref>http://home.att.net/~numericana/answer/primes.htm</ref>  This is a formulation of a more general statement known as the [[prime number theorem]].
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The number of primes smaller than a given number <math>N</math> is roughly <math>\frac{N}{\ln(N)}</math>, where <math>\ln(N)</math> is the natural logarithm (base ''e'') of <math>N</math>.<ref>http://home.att.net/~numericana/answer/primes.htm</ref>  This is a formulation of a more general statement known as the [[prime number theorem]].
    
==The Prime Numbers==
 
==The Prime Numbers==
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