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**Version:****File size:**0 KB**File name:**Euler_Phi_1.zip**Last update:****Platform:**Windows / Linux / Mac OS / BSD / Solaris**Language:**Matlab**Price:**Freeware**Company:**Sundar Krishnan (View more)

Specification

Euler_Phi and Its Applications - Euler_Phi, the LCM method and the Squaring method Euler_Phi.zip is a suite of the foll Programmes :1) Euler_Phi (n) returns the no of positive integers less than n which are prime to n.2) a_k_mod_m_LCM_Method (a, m, k) : Imagine computing mod(14^26, 45) or mod(56^3005, 1125).This programme computes a_k_mod_m = mod (a^k, m) when a and m are coprime, using certain rules for the reduction of computations based on Euler_Phi.3) b_n_mod_m_Rpt_Sq_Method (b, n, m) : Imagine computing mod(38^75, 103) or mod(38^75, 103). This programme computes b_n_mod_m = mod (b^n, m).The diff between this pgm and a_k_mod_m_LCM_Method.m is that in a_k_mod_m_LCM_Method,the inputs a and m are coprime ; here, in b_n_mod_m_Rpt_Sq_Method.m, it is not necessary that b and m need be coprime.4) Verify_Euler_Phi(n) : This is a small programme to prove that n = sum of Euler_Phi taken over all divisors d of n

Euler_Phi and Its Applications is a Matlab script for Mathematics scripts design by Sundar Krishnan.
It runs on following operating system: Windows / Linux / Mac OS / BSD / Solaris.

Windows / Linux / Mac OS / BSD / Solaris

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