# Which of the following is a counterexample to the statement

#### mathhurts

##### New member
Can anyone help me with this question?

Which of the following is a counterexample to the statement "The sum of two squares is an even number."

1. 3 times 3 equals 9

2. 5 times 5 equals 25

3. 7 times 7 equals 49

4. 9 times 9 equals 81

#### Subhotosh Khan

##### Super Moderator
Staff member
mathhurts said:
Can anyone help me with this question?

Which of the following is a counterexample to the statement "The sum of two squares is an even number."

1. 3 times 3 equals 9

2. 5 times 5 equals 25

3. 7 times 7 equals 49

4. 9 times 9 equals 81
Did you post the "exact" problem - I do not see any "sum" in any of the answers.

#### mathhurts

##### New member
That is exactly the way it was given to me.

#### skeeter

##### Senior Member
I would say #2, because $$\displaystyle 3^2 + 4^2 = 5^2$$ ... none of the other given square numbers are the sum of two squares.