Explain without much calculation how you know that 2, 3, 5, 7, 11, 13, and 17 are not factors of n = 2x3x5x7x11x13x17+1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.1: Factoring Integers
Problem 2E
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  1. Explain without much calculation how you know that 2, 3, 5, 7, 11, 13, and 17 are not factors of n = 2x3x5x7x11x13x17+1
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