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How to find two prime numbers that, when concatenated, form another prime number in Kotlin

1 Answer

0 votes
fun isPrime(n: Long): Boolean {
    if (n < 2) return false
    if (n % 2 == 0L && n != 2L) return false

    var i = 3L
    while (i * i <= n) {
        if (n % i == 0L) return false
        i += 2
    }
    
    return true
}

// Concatenate two integers
fun concat(a: Int, b: Int): Long {
    val s = "$a$b"
    
    return s.toLong()
}

fun main() {
    val limit = 12 // you can increase this
    val primes = (2..limit).filter { isPrime(it.toLong()) }

    // Check pairs
    for (i in primes.indices) {
        for (j in primes.indices) {
            if (i == j) continue // skip same prime if you want
            val num = concat(primes[i], primes[j])
            if (isPrime(num)) {
                println("${primes[i]} + ${primes[j]} -> $num is prime")
            }
        }
    }
}



/*
run:

2 + 3 -> 23 is prime
2 + 11 -> 211 is prime
3 + 7 -> 37 is prime
3 + 11 -> 311 is prime
5 + 3 -> 53 is prime
7 + 3 -> 73 is prime
11 + 3 -> 113 is prime

*/

 



answered Nov 28, 2025 by avibootz
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