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Modulus—Wolfram Language Documentation

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BUILT-IN SYMBOL

Modulusn

is an option that can be given in certain algebraic functions to specify that integers should be treated modulo n.

Details Examplesopen allclose all Basic Examples  (1)

Solve equations:

Factor polynomials:

Compute inverse:

Scope  (6)

Compute PolynomialGCD over the integers modulo 2:

Factor a polynomial over the integers modulo 3:

Find a GroebnerBasis over the integers modulo 5:

Reduce equations over the integers modulo 7:

Compute the determinant of a matrix modulo 8:

Find a modulus for which a system of equations has a solution:

Properties & Relations  (2) History

Introduced in 1988 (1.0)

Wolfram Research (1988), Modulus, Wolfram Language function, https://reference.wolfram.com/language/ref/Modulus.html. Text

Wolfram Research (1988), Modulus, Wolfram Language function, https://reference.wolfram.com/language/ref/Modulus.html.

CMS

Wolfram Language. 1988. "Modulus." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Modulus.html.

APA

Wolfram Language. (1988). Modulus. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Modulus.html

BibTeX

@misc{reference.wolfram_2025_modulus, author="Wolfram Research", title="{Modulus}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/Modulus.html}", note=[Accessed: 12-July-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_modulus, organization={Wolfram Research}, title={Modulus}, year={1988}, url={https://reference.wolfram.com/language/ref/Modulus.html}, note=[Accessed: 12-July-2025 ]}


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