Description
1. Let us define that a positive integer greater than 1 is called hilarious if the sum of its unique prime factors is a prime itself. Therefore, all primes are hilarious. Also, for example, 12 is hilarious, because its unique prime factors are 2 and 3, and their sum 5 is a prime, too. On the other hand, 84 is not hilarious, because 84 = 22 3 7 and 2 + 3 + 7 = 12, which is not a prime.
2. Write down the prime factorization (in ascending order) of each of the following integers (Example: 720 = 24 32 5).
3. Use the Euclidean algorithm to determine the following greatest common divisors. Write down every step in your calculation.
4. Matrices
5. Use rules of inference to show whether the following arguments are valid or not:
6. Prove or disprove the following statements:
7. Formalization of Logical Expressions: