The Sequence of Primes

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The sequence of primes generated by a simple algorithm like the sieve of Eratosthenes is not itself simple. The plots in this Demonstration show various features of the sequence that indicate that it is in many respects quite random. The logarithmic integral is defined by
and the function
counts the number of primes up to
.
Contributed by: Abigail Nussey (March 2011)
Open content licensed under CC BY-NC-SA
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"The Sequence of Primes"
http://demonstrations.wolfram.com/TheSequenceOfPrimes/
Wolfram Demonstrations Project
Published: March 7 2011