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On the number of square-full integers between successive squares
Published online by Cambridge University Press: 26 February 2010
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A positive integer n is called a square-full integer, if p2 divides n, whenever p is a prime divisor of n. It is clear that each square-full integer can be written in the form a2b3, where a and b are positive integers; moreover, this representation is unique if we stipulate that b is square-free.
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