If you add one to a prime number, it will yield another prime number.
what would be a counterexample?
would it be 2?
6 answers
3 + 1 = 4
thank you!
In fact, that statement is easily proven false for all primes except 2.
All the other primes are odd. Adding 1 will give an even result, which, as a multiple of 2, cannot be prime.
All the other primes are odd. Adding 1 will give an even result, which, as a multiple of 2, cannot be prime.
so, would 0 be a possibility?
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
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
3 would be possible?