Question

07. Не використовуючи таблицю простих чисел, знайди: 1) усі прості числа х, для яких нерівність 29 < x < 43 правильна; 2) усi складені числа у, для яких нерівність 11 < у < 25 правильна.​

Answer 1

Пошаговое объяснение:

Простые числа , это числа которые делятся только на себя и на единицу.

29 < х < 43

х = 31; 37; 41

Составное число, это натуральное число, имеющее делители, отличные от единицы и от самого себя.

11 < у < 25

у = 12; 14; 15; 16; 18; 20; 21; 22; 24

Answer 2

Finding Prime Numbers between 29 and 43

To find all the prime numbers between 29 and 43, we can check each number in that range and determine if it is divisible by any number other than 1 and itself. If a number is not divisible by any other number, it is considered a prime number.

Let's go through the numbers between 29 and 43 and check if they are prime:

- 29 is a prime number because it is not divisible by any number other than 1 and itself. - 30 is not a prime number because it is divisible by 2, 3, 5, and 10. - 31 is a prime number because it is not divisible by any number other than 1 and itself. - 32 is not a prime number because it is divisible by 2, 4, 8, and 16. - 33 is not a prime number because it is divisible by 3 and 11. - 34 is not a prime number because it is divisible by 2 and 17. - 35 is not a prime number because it is divisible by 5 and 7. - 36 is not a prime number because it is divisible by 2, 3, 4, 6, 9, and 18. - 37 is a prime number because it is not divisible by any number other than 1 and itself. - 38 is not a prime number because it is divisible by 2 and 19. - 39 is not a prime number because it is divisible by 3 and 13. - 40 is not a prime number because it is divisible by 2, 4, 5, 8, 10, and 20. - 41 is a prime number because it is not divisible by any number other than 1 and itself. - 42 is not a prime number because it is divisible by 2, 3, 6, 7, 14, and 21. - 43 is a prime number because it is not divisible by any number other than 1 and itself.

Therefore, the prime numbers between 29 and 43 are: 29, 31, 37, 41, 43.

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