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Functions and commands 335
Factors Returns the prime factor decomposition of an integer.
ifactor(Intg(a))
Example:
ifactor(150) returns [2*3*5
Factor List Returns the list of prime factors of an integer or a list of
integers, with each factor is followed by its multiplicity.
ifactors(Intg(a) or (LstIntg))
Example:
ifactors(150) returns [2, 1, 3, 1, 5, 2]
GCD Returns the greatest common divisor of two or more integers.
gcd((Intg(a),Intg(b)...Intg(n))
Example:
gcd(32,120,636) gives 4
LCM Returns the lowest common multiple of two or integers.
lcm((Intg(a),Intg(b)...Int(n))
Example:
lcm(6,4) gives 12
Prime
Test if Prime Tests whether or not a given integer is a prime number.
isPrime(Intg(a))
Example:
isPrime(1999) returns 1
Nth Prime Returns the nth prime number less than 10000.
ithprime(Intg(n)) where n is between 1 and 1229
Example:
ithprime(5) returns 11
Next Prime Returns the next prime or pseudo-prime after an integer.
nextprime(Intg(a))
Example:
nextprime(11) returns 13