Question

P is the smallest positive integer such that every positive integer n is greator than p can be written as a sum of two composite number.Tjen p is

Answer 1

7 ................. .....(i am sorry but it's too difficult for me to explain)

Answer 2

Answer: 11

Step-by-step explanation:

Let us examine each option.

Option B ⟶p=3

∴p+1=4=2+2=1+3⇒ They are not composite numbers.

∴ Option B is incorrect.

Option C ⟶p=6

∴p+1=7=1+6=2+5=3+4

⇒ none of the additive pairs is sum of composite numbers.

∴ Option C is incorrect.

Option D ⟶p=10

∴p+1=11=1+10=2+9=3+8=4+7=5+6

⇒ none of the additive pairs is sum of composite numbers.

∴ Option D is incorrect.

Option A ⟶p=11

∴p+1=12=1+11=2+10=3+9=4+8=5+7=6+6

Here, Both the additive pair (4,8) and (6,6) are composite numbers.

∴ Option A is Correct.