# Euler_Phi and Its Applications 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : Freeware

Created : Aug 27, 2007

Downloads : 4

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## Euler_Phi.zip is a suite of the foll Programmes :<br ...

Euler_Phi.

2) mod (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.

**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) mod (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.

**Euler_Phi and Its Applications 1.0 scripting tags:**coprime, eulerphi, euler phi, mod, matlab applications, eulerphi and its applications, imagine, matlab mathematics, programme.

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