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Prove that every natural number greater than or equal to 12 is the sum of two composite numbers. This proof is eating my mind. Please solve!

Note by Swapnil Das 2 years, 10 months ago

Easy Math Editor

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paragraph 1

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This is a quote

# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

2 \times 3

2^{34}

a_{i-1}

\frac{2}{3}

\sqrt{2}

\sum_{i=1}^3

\sin \theta

\boxed{123}

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Consider \( (9,(n-9)) \) and \( (8,(n-8)) \). Of these two pairs, at least one pair must consist of two composite numbers, why?

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If you want a lengthy proof , try using Chicken McNugget Theorem on multiple pairs of numbers .

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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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TopNewestConsider \( (9,(n-9)) \) and \( (8,(n-8)) \). Of these two pairs, at least one pair must consist of two composite numbers, why?

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If you want a lengthy proof , try using Chicken McNugget Theorem on multiple pairs of numbers .

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