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BUILT-IN MATHEMATICA SYMBOL
Integer and Number Theoretic Functions
Random Number Generation
Tutorials »
|
NextPrime
RandomInteger
PrimeQ
See Also »
|
Cryptographic Number Theory
Mathematical Functions
Prime Numbers
Random Number Generation
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
More About »
RandomPrime
RandomPrime
gives a pseudorandom prime number in the range
to
.
RandomPrime
gives a pseudorandom prime number in the range 2 to
.
RandomPrime
gives a list of
n
pseudorandom primes.
MORE INFORMATION
A random prime
is computed by repeatedly generating pseudorandom integers in the specified range until the desired number of primes has been produced.
If no prime exists in the specified range, the input is returned unevaluated with an error message.
RandomPrime
chooses primes between
and
with equal probability.
RandomPrime
is equivalent to
RandomPrime
.
RandomPrime
gives an
×
×... array of primes.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
A random prime less than 100:
A random 10-digit prime:
A list of 10 pseudorandom primes less than 100:
A random prime less than 100:
In[1]:=
Out[1]=
A random 10-digit prime:
In[1]:=
Out[1]=
A list of 10 pseudorandom primes less than 100:
In[1]:=
Out[1]=
Scope
(1)
Generate a random array of primes less than 11 of dimension 4×5:
Applications
(1)
Find two large primes for use in RSA encryption:
This is a 640-binary-digit number:
Its binary representation:
Properties & Relations
(1)
Sampling of primes from 1 to 100:
The distribution is uniform over the primes:
Possible Issues
(1)
If no prime exists in the specified range, an error message is returned:
SEE ALSO
NextPrime
RandomInteger
PrimeQ
TUTORIALS
Integer and Number Theoretic Functions
Random Number Generation
TUTORIAL COLLECTION
Random Number Generation
MORE ABOUT
Cryptographic Number Theory
Mathematical Functions
Prime Numbers
Random Number Generation
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
New in 6