Discussion
If p and q are different prime numbers and pq/2 is also a prime number, then p + q is
*This question is included in Nova Math - Problem Set F: Number Theory, question #35
| (A) | an odd number |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 07/27/2013 09:08
Hello, how can I prove (E) is wrong?!
Posted: 07/27/2013 10:46
Sudad, if you follow the logic in the explanation, either p or q must be 2. The other must be an odd number, let's say 3.
(E) says p+q is not a prime number. Well, 2+3 is 5, which is also a prime number.
(E) says p+q is not a prime number. Well, 2+3 is 5, which is also a prime number.