Let p1, p2, p3,...be a list of all prime numbers in

Chapter 4, Problem 4.288

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Let p1, p2, p3,...be a list of all prime numbers in ascending order. Here is a table of the rst six: a.For each i =1,2,3,4,5,6, let Ni = p1p2pi +1. Calculate N1, N2, N3, N4, N5, andN6. b. For each i =1,2,3,4,5,6, nd the smallest prime numberqi such thatqi divides Ni.(Hint: Use the test for primality from exercise 31 in Section 4.5 to determine your answers.)

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