The primes have been a focal point for investigations of numbers for more than two millennia. Mathematica implements state-of-the-art algorithms for handling both primes and ...

Mathematica handles both integers and real numbers with any number of digits, automatically tagging numerical precision when appropriate. Mathematica internally uses several ...

Algebraics represents the domain of algebraic numbers, as in x \[Element] Algebraics.

NumberFieldClassNumber[\[Theta]] gives the class number for the algebraic number field \[DoubleStruckCapitalQ][\[Theta]] generated by \[Theta].

There are often many different ways to write the same algebraic expression. As one example, the expression (1+x)^2 can be written as 1+2x+x^2. Mathematica provides a large ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

Mathematica can handle numbers of essentially unlimited length, in any base, using state-of-the-art platform-optimized algorithms, including several developed at Wolfram ...

Mathematica contains the world's largest collection of number theoretic functions, many based on specially developed algorithms.

FrobeniusNumber[{a_1, ..., a_n}] gives the Frobenius number of a_1, ..., a_n.

CatalanNumber[n] gives the n\[Null]^th Catalan number C_n.