gives the nprime number .
- Prime is also known as prime number sequence.
- Integer mathematical function, suitable for both symbolic and numerical manipulation.
- is the smallest positive integer greater than , which cannot be divided by any integer greater than 1 and smaller than itself. The first prime is the integer 2.
- is asymptotically equivalent to as .
Examplesopen allclose all
Basic Examples (3)
Numerical Manipulation (4)
Symbolic Manipulation (6)
Find a solution instance of equalities with Prime:
Recognize the Prime sequence:
The ratio of the sequence and its leading asymptotic approaches 1 as approaches Infinity:
Basic Applications (9)
Number Theory (14)
Special Sequences (12)
Differences in nth Ramanujan primes and Prime:
Properties & Relations (8)
The traditional mathematical notation for Prime:
Primes represents the domain of all prime numbers:
The largest domain of definitions of Prime:
Prime is asymptotically equivalent to as :
Use NextPrime to find the next prime above n:
PrimeOmega counts the number of prime divisors:
EulerPhi[n] counts numbers less than or equal to that are coprime to :
Neat Examples (6)
Ulam spiral colored based on the difference in Prime values:
Generate a path based on the Prime sequence:
Wolfram Research (1988), Prime, Wolfram Language function, https://reference.wolfram.com/language/ref/Prime.html (updated 2020).
Wolfram Language. 1988. "Prime." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/Prime.html.
Wolfram Language. (1988). Prime. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Prime.html