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Number Theory

Quadratic Residues Calculator

Computes the Legendre symbol (a/p) for any integer a and odd prime p, classifying a as a quadratic residue (+1), non-residue (−1), or zero (0). Useful for modular arithmetic and cryptographic analysis.

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Number Theory

Modular Arithmetic Calculator

Compute modular addition, subtraction, and multiplication instantly. Use it in cryptography, competitive programming, or number theory to keep results within a fixed range.

Fill in the required fields to see your result.

Key differences

Quadratic Residues CalculatorModular Arithmetic Calculator
CategoryNumber TheoryNumber Theory
Inputs required23
ResultLegendre Symbol(A + B) mod M
What it doesComputes the Legendre symbol (a/p) for any integer a and odd prime p, classifying a as a quadratic residue (+1), non-residue (−1), or zero (0). Useful for modular arithmetic and cryptographic analysis.Compute modular addition, subtraction, and multiplication instantly. Use it in cryptography, competitive programming, or number theory to keep results within a fixed range.