Maths-

General

Easy

Question

# Show the conjecture is false by finding a counterexample.

All prime numbers are odd.

## The correct answer is: it shows that All prime numbers are not odd

### We have given a statement that

All prime numbers are odd

Before deciding we will know the definition of prime numbers

Definition - a prime number has only 2 factors - itself and 1.

Hence the smallest natural prime number is 2, and the only on that is even. All other prime numbers are odd, and there are infinitely many prime numbers.

Therefore, it shows that All prime numbers are not odd.

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