Math Problem Statement

194^595 mod 1079

Solution

The result of 194595mod1079194^{595} \mod 1079 is 5151.

Do you need further details or have any questions? Here are 5 related problems:

  1. What is 256300mod1024256^{300} \mod 1024?
  2. Solve 17125mod53917^{125} \mod 539.
  3. Can you calculate 9512mod179^{512} \mod 17?
  4. What is 245150mod403245^{150} \mod 403?
  5. Compute 345198mod789345^{198} \mod 789.

Tip: Modular exponentiation can be efficiently computed using the method of "exponentiation by squaring." This is especially useful for large powers.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Modular Arithmetic
Exponentiation

Formulas

Modular exponentiation formula: a^b mod m

Theorems

Exponentiation by squaring
Modular arithmetic properties

Suitable Grade Level

Grades 11-12, College level