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Home/Mathematics/Number Theory/Modular Exponentiation Calculator
Math CalculatorNumber Theory

Modular Exponentiation Calculator

Compute a^b mod m efficiently using the binary exponentiation (square-and-multiply) algorithm. Handles very large exponents.

Updated 2025-01-154 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

The base of the exponentiation

The exponent (can be very large)

The modulus (must be positive)

Formula & Methodology

How this calculator works

a^b mod m

Uses repeated squaring: compute the result bit by bit from the binary representation of the exponent b.

Frequently Asked Questions

Common questions about this calculator

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