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Ask AI: Show that n squared + 1 is not divisible by 3 for any integer n

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Question: Show that n squared + 1 is not divisible by 3 for any integer n

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If n is divisible by 3, then n = 3a, where a is an integer. n2 + 1 = (3a)2 + 1 = 9a2 + 1 Since 9a2 + 1 is never divisible by 3, n2 + 1 is not divisible by 3 for any integer n.

Answered by text-davinci-003

Feb. 6, 2023, 10:17 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user lori's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Monday, February 6, 2023

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