Fermat's Little Theorem and Euler's Totient Theorem/Function

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Hello, in this video I have explained Fermats Little Theorem and Eulers Totient Theorem and Function which are used frequently on Competitive Math competitions to solve advanced Modular Arithmetic problems.

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Akshaj Gupta | AlgoSTEM
  1. AlgoSTEM
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Автор

Thanks for the video. Can you please show the application of these concepts through some problems ? That would be great.

divyanshdixit
Автор

Fermat's Little Theorem [a^(p-1) == 1 (mod p)] does not apply to "all numbers a". It only applies when p does not divide a. Also, Euler's Totient Theorem [a^φ(n) == 1 (mod n)] applies only when a and n have no common prime factor.

husoski
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