1. The number of the first true statement here added to the number of the second false statement gives the number of a statement which is true.

2. There are more true statements than false.

3. The number of the second true statement added to the number of the first false statement gives the number of a statement which is true.

4. There are no two consecutive true statements.

5. There are at most three false statements.

6. If this puzzle consisted of statement 1 to 5 only, then the answer to the following question would still be the same.

Which statements are true?