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Probability to Compute Divisor of a Hidden Integer

Author

Listed:
  • Xingbo Wang
  • Jianhui Li
  • Zhikui Duan
  • Wen Wan

Abstract

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.

Suggested Citation

  • Xingbo Wang & Jianhui Li & Zhikui Duan & Wen Wan, 2018. "Probability to Compute Divisor of a Hidden Integer," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(1), pages 1-5, February.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:1:p:1
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    References listed on IDEAS

    as
    1. Xingbo Wang, 2017. "Some More New Properties of Consecutive Odd Numbers," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(5), pages 61-70, October.
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      More about this item

      Keywords

      probability; greatest Common Divisor; integer factorization; probabilistic algorithm;
      All these keywords.

      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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