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NextPrime

The next prime strictly greater than n, or the kth prime after n.

WikipediaPrime numberMathWorldNextPrimePrimeNumberWikidataQ49008Encyclopedia of MathematicsPrime_numbernLabprime numberBritannicatopic/prime-numberOEISA000040Wolfram LanguageNextPrime
NextPrime(n)smallest prime strictly greater than .
NextPrime(n, k)the th prime after ; negative walks backward.

Domain: Number theory

Details
  • NextPrime(n) is the th prime, where is the count of primes .
  • NextPrime(n, k) generalizes to the th prime, so a negative steps backward to a prime below .
  • n need not be prime or even an integer; compute-engine simply finds the next prime above it.
  • compute-engine does not.

Examples

See also: NthPrime, PrimePi