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Fermat’s Little Theorem Calculator

Fermat’s Little Theorem Calculator

Free online Fermat’s Little Theorem Calculator. Part of our comprehensive Math Calculators suite.

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About Fermat’s Little Theorem Calculator

The Fermat’s Little Theorem Calculator is an essential online tool designed to simplify complex modular arithmetic computations based on Fermat’s Little Theorem. This fundamental theorem in number theory provides a powerful method for simplifying powers in modular arithmetic when the modulus is a prime number. Our calculator allows users, including students, mathematicians, and computer scientists, to quickly verify congruences and solve problems involving a^(p-1) ≡ 1 (mod p) for a prime p. It automates intricate calculations, saving significant time and reducing potential errors in manual computations. Ideal for educational purposes, cryptographic studies, or simply exploring number theory concepts, this tool enhances understanding and ensures accuracy in your mathematical endeavors.

Next Steps
Radical Calculator
Simplify radicals and square roots quickly and easily. Our calculator provides step-by-step solutions for simplifying radical expressions.
Addition Calculator
Sum of values.
Subtraction Calculator
Difference of values.
Multiplication Calculator
Product of values.
Division Calculator
Quotient of values.

Power Modulo Result (aᵇ mod n)

2

Fermat's Check

If n is prime, aⁿ⁻¹ ≡ 1 (mod n) for any a not divisible by n.

Modular Inverse

Existence depends on gcd(a, n) = 1.