Palindromic Prime in C, C++, Java & Python – Code with Explanation & Examples in Short and Simple

   

C Program

#include <stdio.h>

int isPrime(int n) {
    if (n < 2) return 0;
    for (int i = 2; i * i <= n; i++)
        if (n % i == 0) return 0;
    return 1;
}

int isPalindrome(int n) {
    int rev = 0, temp = n;
    while (temp > 0) {
        rev = rev * 10 + temp % 10;
        temp /= 10;
    }
    return rev == n;
}

int main() {
    int n;
    scanf("%d", &n);
    if (isPrime(n) && isPalindrome(n))
        printf("%d is a Palindromic Prime", n);
    else
        printf("%d is not a Palindromic Prime", n);
    return 0;
}

C Output

Input:
131
Output:
131 is a Palindromic Prime

C++ Program

#include <iostream>
using namespace std;

bool isPrime(int n) {
    if (n < 2) return false;
    for (int i = 2; i * i <= n; i++)
        if (n % i == 0) return false;
    return true;
}

bool isPalindrome(int n) {
    int rev = 0, temp = n;
    while (temp) {
        rev = rev * 10 + temp % 10;
        temp /= 10;
    }
    return rev == n;
}

int main() {
    int n;
    cin >> n;
    if (isPrime(n) && isPalindrome(n))
        cout << n << " is a Palindromic Prime";
    else
        cout << n << " is not a Palindromic Prime";
}

C++ Output

Input:
101
Output:
101 is a Palindromic Prime

JAVA Program

import java.util.Scanner;

class Main {
    static boolean isPrime(int n) {
        if (n < 2) return false;
        for (int i = 2; i * i <= n; i++)
            if (n % i == 0) return false;
        return true;
    }

    static boolean isPalindrome(int n) {
        int rev = 0, temp = n;
        while (temp > 0) {
            rev = rev * 10 + temp % 10;
            temp /= 10;
        }
        return rev == n;
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        if (isPrime(n) && isPalindrome(n))
            System.out.println(n + " is a Palindromic Prime");
        else
            System.out.println(n + " is not a Palindromic Prime");
    }
}

JAVA Output

Input:
151
Output:
151 is a Palindromic Prime

Python Program

def is_prime(n):
    if n < 2:
        return False
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True

def is_palindrome(n):
    return str(n) == str(n)[::-1]

n = int(input())
if is_prime(n) and is_palindrome(n):
    print(f"{n} is a Palindromic Prime")
else:
    print(f"{n} is not a Palindromic Prime")

Python Output

Input:
313
Output:
313 is a Palindromic Prime

Explanation

Example

A palindromic prime is a number that satisfies two conditions: it must be a prime number (only divisible by 1 and itself) and it must also be a palindrome (reads the same backward and forward). For example, 131 is a palindromic prime because it is prime and reversing its digits still gives 131.

Real-Life Analogy

Imagine a palindromic prime as having two layers of security. The first layer is being a prime number, or it cannot be divided easily or factored. The second layer is being a palindrome, or it reads the same from both ends, similar to a mirror-image design. A palindromic prime mixes up symmetry and power.

Why It Matters

Learning about palindromic primes shows us how to put together various ideas in programming. Rather than a single condition, we put two logical checks together (prime check + palindrome check). This enhances logical reasoning and demonstrates how modular functions may be reused to solve complicated problems. In competitive programming and interview contexts, such problems challenge both mathematical knowledge and programming design.

Learning Insights

Through this problem, students learn about looping constructs, conditionals, and functions. They also learn decomposition of problems: testing prime numbers individually and testing palindromes individually, then combining the results. This step-by-step decomposition is precisely how real-world problems are solved in software development.

Real-World Application

The concept of palindromic primes may feel mathematical, but the concept of stacking conditions is ubiquitous. Suppose you are implementing login security: you don't merely verify against the correct password—you may verify against correct user roles as well. A palindromic prime exercise conditions you to use a number of filters or rules before you make a decision, which is essential in database queries, authentication systems, and anti-fraud finance detection.

In computer programming education, the subject of palindromic prime numbers is a great combination of math and logic and hence loved in coding interviews as well as practice questions. New programmers learn the way to divide problems into smaller units and check for multiple conditions effectively. Learning it benefits not only in solving competitive programming issues but also while developing real-world software where stacked conditions come into play. If you are preparing for technical exams, coding competitions, and interview questions, practicing palindromic prime programs in C, C++, Java, and Python provides you with the advantage in logic development and problem-solving effectiveness.