Asked by Abby

If you add one to a prime number, it will yield another prime number.

what would be a counterexample?
would it be 2?
Answered by R_scott
3 + 1 = 4
Answered by Abby
thank you!
Answered by oobleck
In fact, that statement is easily proven false for all primes <u>except</u> 2.

All the other primes are odd. Adding 1 will give an even result, which, as a multiple of 2, cannot be prime.
Answered by Abby
so, would 0 be a possibility?
Answered by oobleck
No. zero is not a prime.
Review the definition of a prime. It is a positive integer other than 1, with no other factors besides 1 and itself.

0 is not only not positive, it has many "factors," since for any number x,
x*0 = 0
Answered by Abby
3 would be possible?
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