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NextPrime

NextPrime[n]
gives the next prime above n.
NextPrime[n, k]
gives the k^(th) prime above n.
  • The number k can be negative, giving previous primes.
  • The number n need not be an integer, and can be negative.  »
EXAMPLESCLOSE ALL
Basic Examples   (2)
The next prime after a million:
The last prime before a million:
The next prime after a million:
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The last prime before a million:
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Click for copyable input
Out[1]=
Scope   (3)
NextPrime allows real numbers as arguments:
Arguments can be negative:
A negative second argument gives previous primes:
Applications   (2)
Plot prime gaps around powers of 10:
Find twin primes:
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