Probability to Compute Divisor of a Hidden Integer

Xingbo Wang, Jianhui Li, Zhikui Duan, Wen Wan


The article makes an investigation on the probability of finding the greatest common divisor between a given integer and a hidden integer that lies in an integer interval. It shows that, adding the integers that are picked randomly in the interval results in a much bigger probability than subtracting the picked integers one with another. Propositions and theorems are proved and formulas to calculate the probabilities are presented in detail. The research is helpful in developing probabilistic algorithm of integer factorization.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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