Mathematica: Multiplicative Inverse of an integer using modulo

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SUMMARY

The discussion focuses on calculating the multiplicative inverse of an integer in modular arithmetic using Mathematica. Users seek methods to implement this in the Wolfram Language, specifically within the context of modular arithmetic defined by Zn. The reference to the ModularInverse function on MathWorld indicates the mathematical foundation for this operation. Participants emphasize the need for clear examples and syntax to effectively utilize Mathematica for this purpose.

PREREQUISITES
  • Understanding of modular arithmetic concepts, specifically Zn.
  • Familiarity with Mathematica programming language and its syntax.
  • Knowledge of the ModularInverse function in Mathematica.
  • Basic number theory, particularly regarding integers and their inverses.
NEXT STEPS
  • Research the syntax and usage of the ModularInverse function in Mathematica.
  • Explore examples of modular arithmetic calculations in Mathematica.
  • Study the properties of multiplicative inverses in number theory.
  • Learn about other relevant functions in Mathematica for modular operations.
USEFUL FOR

Mathematics students, computer scientists, and anyone interested in implementing modular arithmetic calculations using Mathematica.

smithnya
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Hello everyone,

I've been trying to figure out how to obtain the multiplicative inverse of an integer in Zn in Mathematica but I haven't found a way. Is there a way to do this anyone can help me with?
 
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