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pi and e. (2 Viewers)

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buchanan

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Here's another proof using only integers.

e*10<sup>9</sup> > 2718281828 and &pi;*10<sup>8</sup> < 314159266

Hence

(e<sup>6</sup>-&pi;<sup>4</sup>-&pi;<sup>5</sup>).10<sup>54</sup>

> 2718281828<sup>6</sup>-314159266<sup>4</sup>*10<sup>22</sup>-314159266<sup>5</sup>*10<sup>14</sup>

= 13347592448191460918088230491193011265301397704704

> 0

Hence &pi;<sup>4</sup>-&pi;<sup>5</sup>&ne;e<sup>6</sup>
 
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