py2y41_pal

#!/usr/bin/env python3
# -*- coding: utf-8 -*-
# Filename: py2y41_pal.py
# Author: Jeoi Reqi

"""
This script generates and analyzes Palindromic Primes using the Ulam Spiral pattern.

Description:
The program calculates Palindromic Primes based on the Ulam Spiral pattern, following the equation [P = y^2 - y + 41].
The user is prompted to input the starting value 'y' and the number of iterations.
Palindromic Primes are output to the terminal with 'red' text.

Requirements:
- Python 3
- User input for starting value 'y' and the number of iterations
- Utilizes ANSI escape codes for colored output in the terminal

Usage:
1. Run the script in a terminal or command prompt.
2. Enter the starting value for 'y' and the number of iterations.
3. View the results displaying Palindromic Primes with colorful annotations.
4. The script prints the elapsed time in hours, minutes, and seconds.
"""

import time

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

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

def generate_primes_and_palindromes(start_y, iterations):
    results = []
    for y in range(start_y, start_y + iterations):
        P = y**2 - y + 41

        if is_prime(y) and is_palindrome(y):
            # Red For Palindromic Primes
            results.append(f"\033[31m[y={y}, pP={P}]   [Is Palindromic Prime]\033[0m")
        else:
            # Excludes Non-Palindromic Prime & Non-Prime Numbers From Output
            pass

    return results

def main():
    start_time = time.process_time()

    start_y = int(input("Enter the starting value for y: "))
    iterations = int(input("Enter the number of iterations: "))
    data = generate_primes_and_palindromes(start_y, iterations)

    end_time = time.process_time()
    elapsed_time = end_time - start_time

    print("\nResults:")
    if not data:
        print("No Palindromic Primes found.")
    else:
        for result in data:
            print(result)

    # Print the elapsed time in hours, minutes, and seconds format
    hours, remainder = divmod(elapsed_time, 3600)
    minutes, seconds = divmod(remainder, 60)
    print(f"\nTime elapsed: {int(hours)} hours, {int(minutes)} minutes, {seconds:.2f} seconds\n")

if __name__ == "__main__":
    main()