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Mathematica Teacher's Edition

Built-in Functions

Mathematical Functions

Number Theory

Prime

Prime[n] gives the n prime number.

Prime[1] is 2.
On most computer systems, Prime[n] for n up to can be obtained quite quickly.
See The Mathematica Book on the web: Section 3.2.4.
Implementation Notes: see Section A.9.4.
See also: FactorInteger, PrimeQ, PrimePi, Primes.

Further Examples