(a) List the primes less than 8 (b) Use part (a) to find the number of primes less than 50.(Hint: How can you use Inclusion/Exclusion?)
Question
Solution
(a) The prime numbers less than 8 are 2, 3, 5, and 7.
(b) The Inclusion/Exclusion principle cannot be directly applied here because the prime numbers less than 50 are not dependent on the prime numbers less than 8. However, we can list out the prime numbers less than 50, which are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47. So, there are 15 prime numbers less than 50.
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