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Prime[n] gives the n\[Null]^th prime number.

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 ...

Primes represents the domain of prime numbers, as in x \[Element] Primes.

PrimePowerQ[expr] yields True if expr is a power of a prime number, and yields False otherwise.

PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

NextPrime[n] gives the next prime above n. NextPrime[n, k] gives the k\[Null]^th prime above n.

PrimeQ[expr] yields True if expr is a prime number, and yields False otherwise.

WeierstrassPPrime[u, {g_2, g_3}] gives the derivative of the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

MathieuCPrime[a, q, z] gives the derivative with respect to z of the even Mathieu function with characteristic value a and parameter q.