Q. Assuming that Pn is the nth prime number, establish each of the following statements:

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(a) P_n> 2n - 1 for n >= 5.

(b) None of the integers P_n= P I P₂ ···P_n + 1 is a perfect square.

[ Hint: Each P_nis of the form 4k+3 for n > l. ]

Related Book For answer-question

Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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Posted Date: Apr 18, 2024 11:22 AM

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Q. Assuming that Pn is the nth prime number, establish each of the following statements:

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Finite Mathematics and Its Applications

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