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If \(1 + 1/2 + 1/3 + .... + 1/100 = A/B\) where gcd(A,B) = 1 then show that \(AB\) isn't divisible by 5

Note by Dev Sharma 2 years, 9 months ago

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2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

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That's an interesting question. What have you tried? Is it obvious that A is not divisible by 5? Is it obvious that B is not divisible by 5?

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sir, I am still trying

oh i failed to try it

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestThat's an interesting question. What have you tried? Is it obvious that A is not divisible by 5? Is it obvious that B is not divisible by 5?

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sir, I am still trying

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oh i failed to try it

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