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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
10 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 - 10 months, 1 week ago

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With the exception of 4? No?

Yatin Khanna - 10 months, 1 week ago

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Yes thanks I forgot to mention that.

Brilliant Member - 10 months, 1 week ago

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Correct.

Lucas Nascimento - 10 months ago

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Correct!

Lucas Nascimento - 10 months ago

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