a) Show that 2340 1 (mod 11) by Fermat's little theorem and noting that 2340 =

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a) Show that 2340 ≡ 1 (mod 11) by Fermat's little theorem and noting that 2340 = (210)34.
b) Show that 2340 ≡ 1 (mod 31) using the fact that 2340 = (25)68 = 3268.
c) Conclude from parts (a) and (b) that 2340 ≡ 1 (mod 341).

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:25 PM

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a) Show that 2340 1 (mod 11) by Fermat's little theorem and noting that 2340 =

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a We calculate 2 340 2 10 34 1 34 1 mod 11 since Fermats li...View the full answer

Discrete Mathematics and Its Applications

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