(a) Find (3^{301}(bmod 11), 5^{110}(bmod 13)) and (7^{1388}(bmod 127)). (b) Show that (n^{7}-n) is divisible by 42...

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(a) Find $3^{301}(\bmod 11), 5^{110}(\bmod 13)$ and $7^{1388}(\bmod 127)$.

(b) Show that $n^{7}-n$ is divisible by 42 for all positive integers $n$.

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 20, 2024 09:01 AM

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(a) Find (3^{301}(bmod 11), 5^{110}(bmod 13)) and (7^{1388}(bmod 127)). (b) Show that (n^{7}-n) is divisible by 42...

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A Concise Introduction To Pure Mathematics

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