Question

Не пользуясь таблицей простых чисел докажите что число 29 является простым. Help.

Answer 1

Число, которое делится только на себя и на единицу является простым. 29 делится только на 1 и на 29

Answer 2

Proof that 29 is a Prime Number

To prove that 29 is a prime number, we can use the definition of a prime number, which states that a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

We can demonstrate this by showing that 29 has no divisors other than 1 and itself.

Divisibility Test

To check if 29 is divisible by any number other than 1 and itself, we can perform a simple divisibility test. We need to check if 29 is divisible by any number between 2 and 28.

Divisibility Check

We can check the divisibility of 29 by numbers from 2 to 28. Upon performing the divisibility check, we find that 29 is not divisible by any of these numbers.

Therefore, based on the divisibility test, we can conclude that 29 has no divisors other than 1 and itself, which confirms that 29 is a prime number.

Conclusion: 29 is a prime number as it has no divisors other than 1 and itself.