N =
- Please complete the following multiplication table for Z7 (multiplication mod 7).
| × | 0 1 2 3 4 5 6 |
| 0 | 0 0 0 0 0 0 0 |
| 1 | 0 1 2 4 6 |
| 2 | 0 2 6 3 5 |
| 3 | 0 6 5 4 |
| 4 | 0 4 5 2 6 |
| 5 | 0 5 3 4 2 |
| 6 | 0 6 5 4 2 1 |
- Please complete the following proof that the prime numbers (P) are countably infinite.
Proof (Contradiction):
Suppose that the primes are finite, that is, suppose that P = {p1,p2,…,pn} for some finite n ∈Z+.
