How to find A and B where A and B are prime numbers and A * B = 12349 in Python

1 Answer

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import math

# Function to check if a number is prime
def isPrime(n):
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False

    limit = int(math.sqrt(n))
    for i in range(5, limit + 1, 6):
        if n % i == 0 or n % (i + 2) == 0:
            return False

    return True

# Function to find the two prime factors A and B, returned as a tuple (A, B)
def findAB(N):
    limit = int(math.sqrt(N))

    for i in range(2, limit + 1):
        if N % i == 0:
            j = N // i
            if isPrime(i) and isPrime(j):
                return (i, j)

    return (-1, -1)  # No prime factors found

def main():
    N = 12349

    result = findAB(N)
    A, B = result

    if A != -1:
        print("A =", A, ", B =", B)
    else:
        print("Not found.")

main()


"""
run:

A = 53, B = 233

"""

 



answered 12 hours ago by avibootz

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