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Mod   (Built-in Mathematica Symbol)
Mod[m, n] gives the remainder on division of m by n. Mod[m, n, d] uses an offset d.
PowerModList   (Built-in Mathematica Symbol)
PowerModList[a, s/r, m] gives a list of all x modulo m for which x^r \[Congruent] a^s mod m.
PowerMod   (Built-in Mathematica Symbol)
PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m. PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.
PolynomialMod   (Built-in Mathematica Symbol)
PolynomialMod[poly, m] gives the polynomial poly reduced modulo m. PolynomialMod[poly, {m_1, m_2, ...}] reduces modulo all of the m_i.
Cryptographic Number Theory   (Mathematica Guide)
Mathematica's extensive base of state-of-the-art algorithms, efficient handling of very long integers, and powerful built-in language make it uniquely suited to both research ...
Some Mathematical Functions   (Mathematica Tutorial)
Mathematica includes a very large collection of mathematical functions. "Mathematical Functions" gives the complete list. Here are a few of the common ones. Some common ...
CellChangeTimes   (Built-in Mathematica Symbol)
CellChangeTimes is an option to Cell that specifies when changes were made to the cell.
Polynomials Modulo Primes   (Mathematica Tutorial)
Mathematica can work with polynomials whose coefficients are in the finite field Z_p of integers modulo a prime p. Functions for manipulating polynomials over finite fields. ...
Integer and Number Theoretic Functions   (Mathematica Tutorial)
Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.
Integer Functions   (Mathematica Guide)
Mathematica contains hundreds of original algorithms for computing integer functions involving integers of any size.
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