Ар кандай математикалык маселелерди чечүү

Аткаруу

1. \sqrt{7919} \approx 88

   Only primes up to √7919 need testing: any factor above it pairs with one below.

2. 7919 \bmod 2 = 1

   2 does not divide 7919.

3. 7919 \bmod 3 = 2

   3 does not divide 7919.

4. 7919 \bmod 5 = 4

   5 does not divide 7919.

5. 7919 \bmod 7 = 2

   7 does not divide 7919.

6. 7919 \bmod 11 = 10

   11 does not divide 7919.

7. 7919 \bmod 13 = 2

   13 does not divide 7919.

8. 7919 \bmod 17 = 14

   17 does not divide 7919.

9. 7919 \bmod 19 = 15

   19 does not divide 7919.

10. \vdots

    …and the same for every prime up to 88 (23 primes checked).

11. \text{7919 is prime}

    No prime up to the square root divides it, so it has no factors other than 1 and itself.

Жауап

\text{7919 is prime}