Question

4=2+2,6=3+3,8=3+5,10=3+7=5+5,12=7+5,…,100=3+97=11+89 The question is, can you keep doing this forever? That is, can you write every possible even natural number as the sum?

a) Yes, there is always a combination for every even number.
b) No, certain even numbers cannot be expressed in this form.
c) Only prime numbers can be expressed in this manner.
d) The pattern breaks after a certain point.

Answer 1

Yes, every even natural number can be written as a sum of two or more prime numbers.

Step-by-step explanation:

Yes, every even natural number can be written as a sum of two or more prime numbers.

Let's take the number 12 as an example. We can write 12 as the sum of 7 and 5, both of which are prime numbers. So, 12 = 7 + 5.

This pattern can be continued for any even natural number. However, it should be noted that the combination of prime numbers used to express a given even number may vary.