Question 12
Let $N$ be a whole number (a nonnegative integer). Exactly three of these four statements are true:
1. $N$ is prime.
2. $N+3$ is prime.
3. $1<\sqrt N<9$.
4. $N+5$ has an odd number of positive factors.
How many values of $N$ are possible?
Enter one positive integer, without units.
1. $N$ is prime.
2. $N+3$ is prime.
3. $1<\sqrt N<9$.
4. $N+5$ has an odd number of positive factors.
How many values of $N$ are possible?
Enter one positive integer, without units.