Primes—Wolfram Language Documentation (original) (raw)

BUILT-IN SYMBOL

• See Also
  • Element
  • Simplify
  • PrimeQ
  • Prime
  • Integers
• Related Guides
  • Assumptions and Domains
  • Prime Numbers
  • Number Recognition
  • Number Theory
• Tech Notes
  • Simplifying with Assumptions
  • Using Assumptions

Primes

Primes

represents the domain of prime numbers, as in x∈Primes.

Details

Examples

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Basic Examples (3)

The number is a prime:

Fermat's little theorem:

Find primes satisfying an inequality:

Scope (4)

Test domain membership of a numeric expression:

Make domain membership assumptions:

Specify the default domain for Reduce and FindInstance:

TraditionalForm formatting:

Applications (2)

Wilson's theorem [more info]:

A list of twin primes:

Check:

Properties & Relations (3)

Wolfram Research (1999), Primes, Wolfram Language function, https://reference.wolfram.com/language/ref/Primes.html (updated 2017).

Text

Wolfram Research (1999), Primes, Wolfram Language function, https://reference.wolfram.com/language/ref/Primes.html (updated 2017).

CMS

Wolfram Language. 1999. "Primes." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2017. https://reference.wolfram.com/language/ref/Primes.html.

APA

Wolfram Language. (1999). Primes. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Primes.html

BibTeX

@misc{reference.wolfram_2025_primes, author="Wolfram Research", title="{Primes}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/Primes.html}", note=[Accessed: 13-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_primes, organization={Wolfram Research}, title={Primes}, year={2017}, url={https://reference.wolfram.com/language/ref/Primes.html}, note=[Accessed: 13-June-2025 ]}