[3] 1. 2. The set of prime numbers between 20 and 90 is {23, 29, 31,...

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[3] 1. 2. The set of prime numbers between 20 and 90 is {23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89}. Pick any two of them that add up to at least 70, and label them p and q. Calculate the product n = p. q. For example, Rick will pick p 43 and q n = 43-59= 2537. Write down your p, q and n. = 59. My - How many positive integers less than or equal to n are not divisible by p or q. Show the calculation of your answer. Pick another p from the list of primes above. Write down your p. How many integer solutions are there to the equation a₁ + 2 + 3 =p with 0 ≤ ≤ 10 for i=1,2,3? As above, show the calculation of your answer. [3] 1. 2. The set of prime numbers between 20 and 90 is {23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89}. Pick any two of them that add up to at least 70, and label them p and q. Calculate the product n = p. q. For example, Rick will pick p 43 and q n = 43-59= 2537. Write down your p, q and n. = 59. My - How many positive integers less than or equal to n are not divisible by p or q. Show the calculation of your answer. Pick another p from the list of primes above. Write down your p. How many integer solutions are there to the equation a₁ + 2 + 3 =p with 0 ≤ ≤ 10 for i=1,2,3? As above, show the calculation of your answer.

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Answer 1 p31 q41 n1271 2 Integers not divisible by p and q ... View the full answer