Question

Напишите программу, которая вводит натуральные числа a и b и выводит все простые числа в диапазоне от a до b . Входные данные: Входная строка содержит два натуральных числа, a и b . Гарантируется, что a ≤ b . Выходные данные Программа должна вывести в одной строке через пробел все простые числа на отрезке [ a , b ] . Если таких чисел нет, программа должна вывести 0.

Answer 1

Var
   a,b,d,K,kp:integer;
   P:boolean;
Begin
kp:=0;
ReadLn(a,b);
if (a = 1)or(a = 2) then
   Begin
   kp:=2;
   Write(2,' ',3)
   end
else if a = 3 then
        Begin
        kp:=1;
        Write(3);
        End;
if a < 5 then a:=5
else if a mod 2 = 0 then a:=a+1;
While a<=b do
   Begin
   K:=Trunc(Sqrt(A));
   d:=3;
   P:=true;
   While d <= K do
      Begin
      if A mod d = 0 then P:=false;
      d:=d+2
      End;
   if P then
      Begin
      kp:=kp+1;
      Write(' ',a);
      End;
   a:=a+2
   End;
if kp = 0 then Write(0)
End.

Answer 2

To solve this problem, we can use the concept of prime numbers. Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves. We can iterate through the range from `a` to `b` and check if each number is prime.

Here's a Python program that implements this logic:

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 print_prime_numbers(a, b):
    prime_numbers = []
    for num in range(a, b + 1):
        if is_prime(num):
            prime_numbers.append(num)
    if prime_numbers:
        print(' '.join(map(str, prime_numbers)))
    else:
        print(0)

# Example usage
a = int(input("Enter the value of a: "))
b = int(input("Enter the value of b: "))
print_prime_numbers(a, b)

Explanation: 1. The `is_prime` function checks if a number is prime by iterating from 2 to the square root of the number and checking if any of those numbers divide the given number evenly. 2. The `print_prime_numbers` function iterates through the range from `a` to `b` and checks if each number is prime using the `is_prime` function. If a number is prime, it is added to the `prime_numbers` list. 3. Finally, the function checks if there are any prime numbers in the `prime_numbers` list. If there are, it prints them separated by spaces. Otherwise, it prints 0.

Please note that the program assumes valid input, meaning that `a` and `b` are both natural numbers and `a` is less than or equal to `b`.