Question
Q. Assuming that Pn is the nth prime number, establish each of the following statements: (a) P n > 2n
Q. Assuming that Pn is the nth prime number, establish each of the following statements:
(a) Pn > 2n - 1 for n >= 5.
(b) None of the integers Pn = P I P2 ···Pn + 1 is a perfect square.
[ Hint: Each Pn is of the form 4k+3 for n > l. ]
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Finite Mathematics and Its Applications
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
12th edition
978-0134768588, 9780134437767, 134768582, 134437764, 978-0134768632
