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Number Theory: Divisibility.

Show that there are infinite positive integers \(n\) such that \( n+1\) divides \(5^n - 1 \).

Note by Lucas Nascimento
7 months, 1 week ago

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By Fermat's little Theorem, all numbers n other the 4 which are 1 less than a prime number satisfies the condition. Brilliant Member · 7 months ago

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@Brilliant Member With the exception of 4? No? Yatin Khanna · 7 months ago

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@Yatin Khanna Yes thanks I forgot to mention that. Brilliant Member · 7 months ago

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Correct. Lucas Nascimento · 7 months ago

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Correct! Lucas Nascimento · 7 months ago

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