Question

prove that the prime number grater than 2 is odd​

Answer 1

Answer:

This is because every even number greater than 2 are divisible by 2 (because they are even), it can be divisible by 1, 2, and itself, or more, so it cannot be prime. ... They are all prime numbers so they are all divisible only by themselves and 1, so they are not divisible by 2, so they are odd.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let p be the prime number.We have to prove p is odd if it is greater than 2.

Let us start the proof by assuming p is not odd.

So p is an even number

∴ a divisor of p is 2 ----- (I)

But it is given that p is a prime number greater than 2 -----(given)

∴1 and p are the only divisors of p ----- (II)

Statements (I) and (II) are contradictory.

∴the assumption , that p is not odd is false.

This proves that a prime number greater than 2 is odd in indirect way of proof.