
Представьте все чётные числа от 12 до 20 в виде разности двух простых чисел


Ответы на вопрос

Ответ:
12 = 23 − 11;
14 = 17 − 3;
16 = 29 − 13;
18 = 31 − 13;
18 = 29 − 11;
20 = 31 − 11;
20 = 23 − 3.



простое число-это число, которое делится только на 1 и на само себя
12=13-1
14=17-3
16=23-7
18=19-1
20=23-3



Finding the Even Numbers from 12 to 20
To find the even numbers from 12 to 20, we can simply list them:
- 12 - 14 - 16 - 18 - 20
Representing Even Numbers as the Difference of Two Prime Numbers
To represent each even number as the difference of two prime numbers, we can use the following approach:
1. Start with the even number. 2. Find two prime numbers whose difference equals the even number.
Let's apply this approach to each even number from 12 to 20:
12: - The prime numbers closest to 12 are 11 and 13. - The difference between 11 and 13 is 2, which is equal to 12.
Therefore, 12 can be represented as the difference between 11 and 13.
14: - The prime numbers closest to 14 are 13 and 17. - The difference between 13 and 17 is 4, which is equal to 14.
Therefore, 14 can be represented as the difference between 13 and 17.
16: - The prime numbers closest to 16 are 13 and 19. - The difference between 13 and 19 is 6, which is equal to 16.
Therefore, 16 can be represented as the difference between 13 and 19.
18: - The prime numbers closest to 18 are 17 and 19. - The difference between 17 and 19 is 2, which is not equal to 18.
It seems that there are no two prime numbers whose difference equals 18.
20: - The prime numbers closest to 20 are 19 and 23. - The difference between 19 and 23 is 4, which is equal to 20.
Therefore, 20 can be represented as the difference between 19 and 23.
To summarize:
- 12 can be represented as the difference between 11 and 13. - 14 can be represented as the difference between 13 and 17. - 16 can be represented as the difference between 13 and 19. - 18 cannot be represented as the difference of two prime numbers. - 20 can be represented as the difference between 19 and 23.
Please note that while we were able to find representations for some of the even numbers, not all of them can be expressed as the difference of two prime numbers.
Let me know if there's anything else I can help you with!


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