PrimeQCertificate (Primality Proving Package Symbol)

PrimeQCertificate[n] gives a certificate that n is prime or that n is composite.

SetSharedVariable (Built-in Mathematica Symbol)

SetSharedVariable[s_1, s_2, ...] declares the symbols s_i as shared variables whose values are synchronized among all parallel kernels.

GF (Finite Fields Package Symbol)

GF[p, d] gives the Galois field that is a degree d extension of the prime field of p elements.GF[q] gives the Galois field with q elements, for q a prime power.GF[p, ilist] ...

NumberTheory`FactorIntegerECM` (Mathematica Compatibility Information)

The functionality of FactorIntegerECM can be obtained using the enhanced Mathematica kernel function FactorInteger.

ChineseRemainder (Built-in Mathematica Symbol)

ChineseRemainder[{r_1, r_2, ...}, {m_1, m_2, ...}] gives the smallest non-negative x that satisfies all the integer congruences x mod m_i = r_i mod m_i.

AbortKernels (Built-in Mathematica Symbol)

AbortKernels[] aborts evaluations running in all parallel subkernels.

RamanujanTau (Built-in Mathematica Symbol)

RamanujanTau[n] gives the Ramanujan \[Tau] function \[Tau](n).

GaussianIntegers (Built-in Mathematica Symbol)

GaussianIntegers is an option for FactorInteger, PrimeQ, Factor, and related functions that specifies whether factorization should be done over Gaussian integers.

Mathematical Notation Characters (Mathematica Guide)

Mathematica has the world's largest collection of consistent multifont mathematical notation characters—all fully integrated into both typesetting and symbolic expression ...

Additive Number Theory (Mathematica Guide)

Building on its broad algorithmic and mathematical capabilities, Mathematica provides a unique level of highly general and efficient support for additive number theory.