if n is a prime number than n +1 is not . True or false
Hi Kayla,
First determine your definition of a "prime number. (It can only be divisible by itself or 1, evenly.)
Replace "n" with a number and add 1 to it; then test the definition.
e.g., if N = 1; then 1 + 1 = 2 (Is 2 a prime number?)
try again, e.g.if N = 3; then 3 + 1 = 4. Can 4 be divided by anything else besides itself and 1? Yes; therefore, it is not a prime number. 4 divided by 2 divides evenly, confirming that 4 is not a prime number.
Test a few more, and I think you will be successful!
JJ
THANKS!!! I get it!!!!
The statement "If n is a prime number, then n+1 is not" is generally true, but there is a specific case where it is not true.
To understand why this is generally true, let's consider the definition of a prime number. A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself.
If n is a prime number, it means that it cannot be divided evenly by any number other than 1 and itself. Therefore, if we add 1 to n, the resulting number would not be divisible by any number other than 1. In other words, n+1 would not have any divisors other than 1 and itself, making it a prime number as well.
However, there is one exception to this statement. If n is equal to 2, which is the only even prime number, then adding 1 to it gives us 3, which is also a prime number. So, in this specific case, the statement "If n is a prime number, then n+1 is not" is false.
In conclusion, the statement is generally true for all prime numbers except for the number 2.