2015-01-06-162148.sagews

# Given that A, B and C are three prime numbers that are less than 1000.
# Find A, B and C such that A x B x C= 238213091.

all_prime_list = [num for num in range(1000) if is_prime(num)]

def find_three_prime(answer):
    for first in all_prime_list:
        for second in all_prime_list:
            for third in all_prime_list:
                if first * second * third == answer:
                    return first, second, third
    return 0, 0, 0
#

first, second, third = find_three_prime(238213091)
print 'The three prime numbers are %d, %d and %d.' % (first, second, third)

The three prime numbers are 349, 773 and 883.