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A squarefree number is a positive integer that is not divisible by the square of a prime. The first 10 squarefree numbers are 1, 2, 3, 5, 6, 7, 10, 11, 13, 14. The number of squarefree integers from 1 through ... is usually denoted by ... . For example, ... , because 4, 8, and 9 are divisible by prime squares, so they are not counted. The graph of ... is an irregular step function. This Demonstration illustrates the remarkable fact that we can approximate the jumps of this step function by using a sum that involves zeros of the Riemann zeta function ... .

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      EUN,LOM,LRE4,work-cmr-id:397245,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/UsingZetaZerosToCountTheSquarefreeIntegers/,ilox,learning resource exchange,LRE metadata application profile,LRE

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