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lets start a number theory marathon..... QUESTION 1- N is a 50-digit number (in decimal representation). All digits except the 26th digit (from the left) are 1. If N is divisible by 13, find its 26-th digit.

Note by Superman Son 4 years, 6 months ago

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2 \times 3

2^{34}

a_{i-1}

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Hint: Note that \(111111 \equiv 0 \pmod{13} \)

As such, the \(26\)th digit will be \(3\)

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now u give a question

Sure.

Try this.

\( 111111 \equiv 0 \pmod{13} \) so the 26th digit is 3

I have seen this question before.....

yes it is a rmo question

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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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TopNewestHint: Note that \(111111 \equiv 0 \pmod{13} \)As such, the \(26\)th digit will be \(3\)

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now u give a question

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Sure.

Try this.

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\( 111111 \equiv 0 \pmod{13} \) so the 26th digit is 3

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I have seen this question before.....

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yes it is a rmo question

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