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

1 Answer

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// Function to check if a number is prime
function isPrime(n: number): boolean {
    if (n <= 1) return false;
    if (n <= 3) return true;
    if (n % 2 === 0 || n % 3 === 0) return false;

    const limit: number = Math.sqrt(n);
    for (let i: number = 5; i <= limit; i += 6) {
        if (n % i === 0 || n % (i + 2) === 0)
            return false;
    }

    return true;
}

// Helper class to return A and B together
interface Pair {
    A: number;
    B: number;
}

// Function to find the two prime factors A and B
function findAB(N: number): Pair {
    const limit: number = Math.sqrt(N);

    for (let i: number = 2; i <= limit; i++) {
        if (N % i === 0) {
            const j: number = N / i;
            if (isPrime(i) && isPrime(j)) {
                return { A: i, B: j };
            }
        }
    }

    return { A: -1, B: -1 }; // No prime factors found
}

function main(): void {
    const N: number = 12349;

    const result: Pair = findAB(N);

    if (result.A !== -1)
        console.log("A = " + result.A + ", B = " + result.B);
    else
        console.log("Not found.");
}

main();



/*
run:

A = 53, B = 233

*/

 



answered 10 hours ago by avibootz

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