[Solved] MA1971 Quiz 3

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N =

  1. 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
  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+.

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[Solved] MA1971 Quiz 3
$25