primeCountTest.frink

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/** This program counts the prime numbers less than or equal to
    10^n for integer values of n.   This can be used to reproduce
    the table at:

    http://mathworld.wolfram.com/PrimeCountingFunction.html

    It also compares it to the Riemann prime count estimate.
*/


use RiemannPrime.frink

nextExp = 1
nextNum = 10^nextExp
count = 0

println["Exp\ttrue\testimate\terror"]
for p = primes[]
{
    if p > nextNum
    {
       estimate = round[primeCount[nextNum]]
       error = 1. (estimate-count)/count
       println["$nextExp\t$count\t$estimate\t" + formatSci[error, 1, 3]]
       nextExp = nextExp + 1
       nextNum = 10^nextExp
    }
    count = count + 1
}


Download or view primeCountTest.frink in plain text format


This is a program written in the programming language Frink.
For more information, view the Frink Documentation or see More Sample Frink Programs.

Alan Eliasen was born 19944 days, 15 hours, 13 minutes ago.