Palindromic Questions

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  1. Print all the palindromic numbers from 1 to 500 in Python:

    for num in range(1, 501):
    if str(num) == str(num)[::-1]:
        print(num)
  2. Write a Python function to check if a given string is a palindrome or not.
def is_palindrome(string): 
    return string == string[::-1]
  1. Write a Python function to check if a given integer is a palindrome or not.
def is_palindrome(number):
    return str(number) == str(number)[::-1]
  1. Write a Python function to count the number of palindromic substrings in a given string.
def count_palindromic_substrings(string):
    count = 0
    for i in range(len(string)):
        for j in range(i+1, len(string)+1):
            if string[i:j] == string[i:j][::-1]:
                count += 1
    return count
  1. Write a Python function to find the longest palindromic substring in a given string.
def longest_palindromic_substring(string):
    max_len = 0
    longest_substr = ''
    for i in range(len(string)):
        for j in range(i+1, len(string)+1):
            substr = string[i:j]
            if substr == substr[::-1] and len(substr) > max_len:
                max_len = len(substr)
                longest_substr = substr 
    return longest_substrngest_substr
  1. Write a Python function to remove all the palindromic substrings from a given string.
def remove_palindromic_substrings(string):
    new_string = ""
    for i in range(len(string)):
        for j in range(i+1, len(string)+1):
            if string[i:j] != string[i:j][::-1]:
                new_string += string[i:j]
    return new_string
  1. Write a Python function to find the smallest palindromic number greater than a given number.
def next_palindrome(number):
    number += 1
    while not is_palindrome(number):
        number += 1 
    return numberber
  1. Write a Python function to find the largest palindromic number less than a given number.
def previous_palindrome(number):
    number -= 1
    while not is_palindrome(number):
        number -= 1
    return number
  1. Write a Python function to find all the palindromic primes less than a given number.
def is_prime(number):
    if number < 2:
        return False
    for i in range(2, int(number**0.5) + 1):
        if number % i == 0:
            return False
    return True

def palindromic_primes_less_than(number):
    palindromic_primes = []
    for i in range(2, number):
        if is_palindrome(i) and is_prime(i):
            palindromic_primes.append(i) 
    return palindromic_primesrimes
  1. Write a Python function to find the nth palindromic prime number.
def nth_palindromic_prime(n):
    count = 0
    number = 2
    while True:
        if is_palindrome(number) and is_prime(number):
            count += 1
        if count == n:
            return number
        number += 1
  1. Write a Python program to print all the palindromic numbers between two given numbers.
def palindromic_numbers_between(start, end):
    palindromes = []
    for number in range(start, end+1):
        if is_palindrome(number):
            palindromes.append(number)

11. Write Python program to print all palindromic prime numbers between two given numbers:
def is_prime(number):
    if number < 2:
        return False
    for i in range(2, int(number**0.5) + 1):
        if number % i == 0:
            return False
    return True

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

def palindromic_primes_between(start, end):
    palindromic_primes = []
    for number in range(start, end+1):
        if is_palindrome(number) and is_prime(number):
            palindromic_primes.append(number)
    return palindromic_primes

# Example usage
print(palindromic_primes_between(2, 1000))




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