Question

Плиз!!!! На Пайтон. Пайтон или питон!!!!!!!! проверить утверждение о том что результатами вычислений по формуле x²+x+17 при 0≤x≤15 является простые числа. все результаты вывести на экран​

Answer 1

def Proverka(n):

   d = 2

   while n % d != 0:

       d += 1

   return d == n

flag = False

for i in range(16):

   if (Proverka(i**2+i+17) == True):

       print(i**2+i+17)

   else:

       print(i**2+i+17)

       flag = True

if flag == True:

   print("Не все числа простые")

else:

   print("Все верно. Все числа простые")

Answer 2

Checking the Claim about Prime Numbers Generated by the Formula x² + x + 17

To verify the claim that the results of the formula x² + x + 17, where 0 ≤ x ≤ 15, are prime numbers, we can calculate the values and check if they are prime.

Let's calculate the values and determine if they are prime or not:

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

for x in range(16):
    result = x**2 + x + 17
    if is_prime(result):
        print(f"{x}: {result} (prime)")
    else:
        print(f"{x}: {result}")

Running this code will generate the following output:

0: 17 (prime)
1: 19 (prime)
2: 23 (prime)
3: 29 (prime)
4: 37 (prime)
5: 47 (prime)
6: 59 (prime)
7: 73 (prime)
8: 89 (prime)
9: 107 (prime)
10: 127 (prime)
11: 149 (prime)
12: 173 (prime)
13: 199 (prime)
14: 227 (prime)
15: 257 (prime)

As we can see, all the results of the formula x² + x + 17, where 0 ≤ x ≤ 15, are indeed prime numbers. Therefore, the claim is true.

Please note that the code provided is a simple implementation to check if a number is prime and may not be the most optimized solution for larger numbers.